Applied Mathematics Research
2024
Multivariate Riesz basis of ReLU neural networks
In: Applied and Computational Harmonic Analysis (2024)
ISSN: 1063-5203
DOI: 10.1016/j.acha.2023.101605
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2023
Highly accurate and numerical tractable coupling of nanoparticle nucleation, growth and fluid flow
In: Chemical Engineering Research & Design 190 (2023), p. 814-828
ISSN: 0263-8762
DOI: 10.1016/j.cherd.2022.12.029
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An evolving space framework for Oseen equations on a moving domain
In: Mathematical Modelling and Numerical Analysis 57 (2023), p. 3113-3138
ISSN: 0764-583X
DOI: 10.1051/m2an/2023074
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Modeling and simulation of single droplet drying in an acoustic levitator
In: Drying Technology 41 (2023), p. 2088-2104
ISSN: 0737-3937
DOI: 10.1080/07373937.2023.2218162
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Truncated nonsmooth Newton multigrid for phase-field brittle-fracture problems, with analysis
In: Computational Mechanics (2023)
ISSN: 0178-7675
DOI: 10.1007/s00466-023-02330-x
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Numerical simulation of multiscale fault systems with rate- and state-dependent friction
In: Computational Geosciences (2023)
ISSN: 1420-0597
DOI: 10.1007/s10596-023-10231-4
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Estimating permeability of 3D micro-CT images by physics-informed CNNs based on DNS
In: Computational Geosciences (2023)
ISSN: 1420-0597
DOI: 10.1007/s10596-022-10184-0
URL: https://link.springer.com/article/10.1007/s10596-022-10184-0
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Estimating relative diffusion from 3D micro-CT images using CNNs
In: Artificial Intelligence in Geosciences 4 (2023), p. 199-208
ISSN: 2666-5441
DOI: 10.1016/j.aiig.2023.11.001
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Path Regularity of the Brownian Motion and the Brownian Sheet
In: Constructive Approximation (2023)
ISSN: 0176-4276
DOI: 10.1007/s00365-023-09647-z
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Multi-Scale Modeling and Simulation of Transport Processes in an Elastically Deformable Perforated Medium
In: Transport in Porous Media (2023)
ISSN: 0169-3913
DOI: 10.1007/s11242-022-01896-z
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The Y-Model - Formalization of Computer-Science Tasks in the Context of Adaptive Learning Systems
IEEE German Education Conference (GeCon) (Berlin, 02-08-2023 - 04-08-2023)
DOI: 10.1109/GECon58119.2023.10295148
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Simulation and experimental validation of magnetic nanoparticle accumulation in a bloodstream mimicking flow system
In: Journal of Magnetism and Magnetic Materials 582 (2023), Article No.: 170984
ISSN: 0304-8853
DOI: 10.1016/j.jmmm.2023.170984
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Besov regularity of inhomogeneous parabolic PDEs
In: Partial Differential Equations and Applications (2023)
ISSN: 2662-2963
DOI: 10.1007/s42985-023-00262-y
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Sobolev and Besov regularity of parabolic PDEs with inhomogeneous boundary data
In: Partial Differential Equations and Applications (2023)
ISSN: 2662-2963
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Path regularity of Brownian motion and Brownian sheet
In: Constructive Approximation (2023)
ISSN: 0176-4276
DOI: 10.1007/s00365-023-09647-z
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, , :
Multivariate Riesz basis of ReLU neural networks
In: Applied and Computational Harmonic Analysis (2023)
ISSN: 1063-5203
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Path regularity of Brownian motion and Brownian sheet
In: Journal of Functional Analysis (2023)
ISSN: 0022-1236
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2022
On approximation classes for adaptive time-stepping finite element methods
In: IMA Journal of Numerical Analysis (2022)
ISSN: 0272-4979
DOI: 10.1093/imanum/drac056
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Numerical study of single droplet drying in an acoustic levitator before the critical point of time
In: Chemical Engineering Science 248 (2022), Article No.: 117149
ISSN: 0009-2509
DOI: 10.1016/j.ces.2021.117149
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p-adaptive discontinuous Galerkin method for the shallow water equations with a parameter-free error indicator.
In: GEM - International Journal on Geomathematics 13 (2022)
ISSN: 1869-2672
DOI: 10.1007/s13137-022-00208-3
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Schur preconditioning of the Stokes equations in channel-dominated domains
In: Computer Methods in Applied Mechanics and Engineering 398 (2022)
ISSN: 0045-7825
DOI: 10.1016/j.cma.2022.115264
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Anisotropic Besov Regularity of parabolic PDEs
In: Pure and Applied Functional Analysis (2022)
ISSN: 2189-3764
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Sobolev meets Besov: Regularity for the Poisson equation with Dirichlet, Neumann and mixed boundary values
In: Analysis and Applications (2022)
ISSN: 0219-5305
DOI: 10.1142/s0219530522500026
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An extension operator for Sobolev spaces with mixed weights
In: Mathematische Nachrichten (2022)
ISSN: 0025-584X
DOI: 10.1002/mana.202000590
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2021
Simulations With a Thermodynamically Consistent Model for Convective Transport in Nanofluids
In: Journal of Heat Transfer-Transactions of the Asme 143 (2021), Article No.: ARTN 122501
ISSN: 0022-1481
DOI: 10.1115/1.4051601
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Convective Transport in Nanofluids: Regularity of Solutions and Error Estimates for Finite Element Approximations
In: Journal of Mathematical Fluid Mechanics 23 (2021)
ISSN: 1422-6928
DOI: 10.1007/s00021-020-00554-y
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Growth Envelopes of some variable and mixed function spaces.
In: Journal of Geometric Analysis (2021)
ISSN: 1050-6926
DOI: 10.1007/s12220-021-00811-0
URL: http://arxiv.org/abs/2007.08210
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Algorithm-hardware co-design of a discontinuous Galerkin shallow-water model for a dataflow architecture on FPGA
2021 Platform for Advanced Scientific Computing Conference, PASC 2021 (Online, 05-07-2021 - 09-07-2021)
In: Proceedings of the Platform for Advanced Scientific Computing Conference, PASC 2021 2021
DOI: 10.1145/3468267.3470617
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Beyond Sobolev and Besov: Regularity of solutions of PDEs and their traces in function spaces
In: Beyond Sobolev and Besov Regularity of Solutions of PDEs and Their Traces in Function Spaces, Springer Science and Business Media Deutschland GmbH, 2021, p. 1-329 (Lecture Notes in Mathematics, Vol.2291)
DOI: 10.1007/978-3-030-75139-5_1
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Beyond Sobolev and Besov: Regularity of Solutions of PDEs and Their Traces in Function Spaces
Berlin: Springer, 2021
(Lecture Notes in Mathematics, Vol.2291)
DOI: 10.1007/978-3-030-75139-5
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Regularity in Sobolev and Besov spaces for parabolic problems on domains of polyhedral type
In: Journal of Geometric Analysis (2021)
ISSN: 1050-6926
DOI: 10.1007/s12220-021-00700-6
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2020
Numerical benchmark study for flow in highly heterogeneous aquifers
In: Advances in Water Resources (2020), p. 103558
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2020.103558
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Convective transport in nanofluids: The stationary problem
In: Journal of Mathematical Analysis and Applications 489 (2020), Article No.: 124151
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2020.124151
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Simulation and multi-objective optimization to improve the final shape and process efficiency of a laser-based material accumulation process
In: Journal of Mathematics in Industry 10 (2020), Article No.: 2
ISSN: 2190-5983
DOI: 10.1186/s13362-020-0070-y
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An efficient numerical algorithm for solving viscosity contrast Cahn–Hilliard–Navier–Stokes system in porous media
In: Journal of Computational Physics 400 (2020), Article No.: 108948
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2019.108948
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Untersuchung der Protein-Einzeltropfentrocknung in einem akustischen Levitator mit Hilfe laseroptischer Messmethoden
10. ProcessNet-Jahrestagung und 34. DECHEMA-Jahrestagung der Biotechnologen 2020 (Online, 21-09-2020 - 24-09-2020)
DOI: 10.1002/cite.202055027
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FESTUNG 1.0: Overview, usage, and example applications of the MATLAB/GNU Octave toolbox for discontinuous Galerkin methods
In: Computers & Mathematics with Applications (2020)
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2020.08.018
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FESTUNG: A MATLAB / GNU Octave Toolbox for the Discontinuous Galerkin Method. Part IV: Generic Problem Framework and Model-Coupling Interface
In: Communications in Computational Physics 28 (2020), p. 827-876
ISSN: 1815-2406
DOI: 10.4208/cicp.OA-2019-0132
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, , , , :
Novel Techniques for Void Filling in Glacier Elevation Change Data Sets
In: Remote Sensing 12 (2020), p. 3917
ISSN: 2072-4292
DOI: 10.3390/rs12233917
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Second Order Pressure Estimates for the Crank--Nicolson Discretization of the Incompressible Navier--Stokes Equations
In: SIAM Journal on Numerical Analysis 58 (2020), p. 375-409
ISSN: 0036-1429
DOI: 10.1137/18M1234813
URL: https://arxiv.org/abs/1911.03900
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2019
A thermodynamically consistent model for convective transport in nanofluids: existence of weak solutions and fem computations
In: Journal of Mathematical Analysis and Applications (2019)
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2019.04.002
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A posteriori estimates for the two-step backward differentiation formula and discrete regularity for the time-dependent Stokes equations
In: IMA Journal of Numerical Analysis 39 (2019), p. 713-759
ISSN: 0272-4979
DOI: 10.1093/imanum/dry014
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Free boundary problems in fluids and materials
In: Handbook of Numerical Analysis, Elsevier B.V., 2019 (Handbook of Numerical Analysis)
DOI: 10.1016/bs.hna.2019.05.004
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Traces of shearlet coorbit spaces on domains
In: Applied Mathematics Letters 91 (2019), p. 35-40
ISSN: 0893-9659
DOI: 10.1016/j.aml.2018.11.019
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, , , , :
Besov regularity of parabolic and hyperbolic PDEs
In: Analysis and Applications 17 (2019), p. 235-291
ISSN: 0219-5305
DOI: 10.1142/S0219530518500306
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Symmetries on manifolds: generalizations of the radial lemma of Strauss
In: Revista Matematica Complutense 32 (2019), p. 365-393
ISSN: 1139-1138
DOI: 10.1007/s13163-018-0285-2
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Scalability and some optimization of the Finite-volumE Sea ice-Ocean Model, Version 2.0 (FESOM2)
In: Geoscientific Model Development 12 (2019), p. 3991-4012
ISSN: 1991-959X
DOI: 10.5194/gmd-12-3991-2019
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Traces and extensions of generalized smoothness Morrey spaces on domains
In: Nonlinear Analysis - Theory Methods & Applications 181 (2019), p. 311-339
ISSN: 0362-546X
DOI: 10.1016/j.na.2019.01.003
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Numerical investigation of a fully coupled micro-macro model for mineral dissolution and precipitation
In: Computational Geosciences (2019)
ISSN: 1420-0597
DOI: 10.1007/s10596-019-09876-x
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On Besov regularity of solutions to nonlinear elliptic partial differential equations
In: Nonlinear Analysis - Theory Methods & Applications (2019)
ISSN: 0362-546X
DOI: 10.1007/s13163-012-0093-z
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2018
A mixed finite element method for elliptic operators with Wentzell boundary condition
In: IMA Journal of Numerical Analysis (2018)
ISSN: 0272-4979
DOI: 10.1093/imanum/dry068
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Numerical study of droplet evaporation in an acoustic levitator
In: Physics of Fluids 30 (2018)
ISSN: 1070-6631
DOI: 10.1063/1.5017936
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A posteriori error estimates for fully discrete schemes for the time dependent Stokes problem
In: Calcolo 55 (2018)
ISSN: 0008-0624
DOI: 10.1007/s10092-018-0259-2
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An energy-based equilibrium contact angle boundary condition on jagged surfaces for phase-field methods
In: Journal of Colloid and Interface Science 523 (2018), p. 282–291
ISSN: 0021-9797
DOI: 10.1016/j.jcis.2018.02.075
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, , , , :
Mathematik für Ingenieure I für Dummies
Weinheim: Wiley-VCH Verlag GmbG & Co. KGaA, 2018
(für dummies, Vol.1)
ISBN: 978-3-527-21501-5
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:
Übungsbuch Mathematik für Ingenieure für Dummies
Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2018
(für dummies, Vol.1)
ISBN: 9783527712380 , 352771238
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Comparison of two local discontinuous Galerkin formulations for the subjective surfaces problem
In: Computing and Visualization in Science (2018)
ISSN: 1432-9360
DOI: 10.1007/s00791-018-0291-4
URL: https://link.springer.com/article/10.1007%2Fs00791-018-0291-4
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, , :
Mathematical modelling and analysis of nanoparticle gradients induced by magnetic fields
In: Journal of Mathematical Analysis and Applications 461 (2018), p. 1544-1560
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2017.12.026
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Groundwater data improve modelling of headwater stream CO2 outgassing with a stable DIC isotope approach
In: Biogeosciences 15 (2018), p. 3093-3106
ISSN: 1726-4170
DOI: 10.5194/bg-15-3093-2018
URL: https://www.biogeosciences.net/15/3093/2018/
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, , , , , :
Describing the singular behaviour of parabolic equations on cones in fractional Sobolev spaces
In: GEM - International Journal on Geomathematics 9 (2018), p. 293-315
ISSN: 1869-2672
DOI: 10.1007/s13137-018-0106-2
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Morrey spaces on domains:Different approaches and growth envelopes
In: Journal of Geometric Analysis 28 (2018), p. 817-841
ISSN: 1050-6926
DOI: 10.1007/s12220-017-9843-y
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2017
PRECONDITIONERS FOR THE DISCONTINUOUS GALERKIN TIME-STEPPING METHOD OF ARBITRARY ORDER
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51 (2017), p. 1173-1195
ISSN: 0764-583X
DOI: 10.1051/m2an/2016055
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Convergence analysis of a BDF2/mixed finite element discretization of a Darcy–Nernst–Planck–Poisson system
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 51 (2017), p. 1883-1902
ISSN: 0764-583X
DOI: 10.1051/m2an/2017002
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2017/2017_FrankKn_ConvergenceAnalysisOfBDFDarcyNernstPlanckPoissonSystem
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Unboundedness properties of smoothness Morrey spaces of regular distributions
In: Science China-Mathematics 60 (2017), p. 2349-2376
ISSN: 1674-7283
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, , , :
Model-Based Optimization of Short Stroke Control in Roughing Mills
In: Steel Research International 88 (2017), Article No.: 1700220
ISSN: 1611-3683
DOI: 10.1002/srin.201700220
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, , , :
Model-based control of dynamic frictional contact problems using the example of hot rolling
In: Computer Methods in Applied Mechanics and Engineering 319 (2017), p. 442-471
ISSN: 0045-7825
DOI: 10.1016/j.cma.2017.03.006
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2016
Homotopy method for viscous Cosserat rod model describing electrospinning
In: Progress in Industrial Mathematics at ECMI 2014, Springer, 2016
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, , , , :
A Discontinuous Galerkin Method for the Subjective Surfaces Problem
In: Journal of Mathematical Imaging and Vision (2016), p. in press
ISSN: 1573-7683
DOI: 10.1007/s10851-016-0695-z
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, , :
Free surface deformation and heat transfer by thermocapillary convection
In: Heat and Mass Transfer 52 (2016), p. 855-876
ISSN: 0042-9929
DOI: 10.1007/s00231-015-1600-9
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, , , :
A POSTERIORI ERROR ESTIMATES FOR PRESSURE-CORRECTION SCHEMES
In: SIAM Journal on Numerical Analysis 54 (2016), p. 2323-2358
ISSN: 0036-1429
DOI: 10.1137/15M102753X
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, :
Directors' Dealings am deutschen Kapitalmarkt
In: Zeitschrift für Corporate Governance (2016), p. 101-106
ISSN: 1862-8702
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, , , , :
Homogenization strategies for fiber curtains and bundles in air flows
In: Progress in Industrial Mathematics at ECMI 2014, Springer, 2016
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, , , :
Aerodynamic web forming: process simulation and material properties
In: Journal of Mathematics in Industry 6 (2016), Article No.: 13
ISSN: 2190-5983
DOI: 10.1186/s13362-016-0034-4
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Stochastic dynamics for inextensible fibers in a spatially semi-discrete setting
In: Stochastics and Dynamics (2016)
ISSN: 0219-4937
DOI: 10.1142/S0219493717500162
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, , , , :
Interpolation strategy for BT-based parametric MOR of gas pipeline-networks
In: PMS&A - Modelling, Simulation and Application, Springer, 2016
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, , :
MOR via quadratic-linear representation on nonlinear-parametric PDEs
In: Progress in Industrial Mathematics at ECMI 2014, Springer, 2016
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, , :
Asymptotics and numerics for the upper-convected Maxwell model describing transient curved viscoelastic jets
In: Mathematical Models & Methods in Applied Sciences 26 (2016), p. 569-600
ISSN: 0218-2025
DOI: 10.1142/S021820251650010X
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, , , :
FESTUNG: A MATLAB /GNU Octave toolbox for the discontinuous Galerkin method. Part II: Advection operator and slope limiting
In: Computers & Mathematics with Applications 72 (2016), p. 1896-1925
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2016.08.006
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2016/2016_ReuterAizingerWielandFrankKn_FestungAMatLabGnuPartII
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, , , , :
Setup of viscous Cosserat rod model desribing electrospinning
In: Progress in Industrial Mathematics at ECMI 2014, Springer, 2016
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, , , , :
A moving mesh framework based on three parametrization layers for 1d PDEs
In: Progress in Industrial Mathematics at ECMI 2014, Springer, 2016
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, , :
Impact of weak particle inertia on dilute suspensions of ellipsoids
In: Journal of Computational and Theoretical Transport (2016)
ISSN: 2332-4325
DOI: 10.1080/23324309.2016.1181090
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2015
Finite volume approach for the instationary Cosserat rod model describing the spinning of viscous jets
In: Journal of Computational Physics 294 (2015), p. 20-37
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2015.03.042
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, , , , :
NUMERICAL SIMULATION OF TWO-PHASE FLOWS WITH HEAT AND MASS TRANSFER
In: Discrete and Continuous Dynamical Systems 35 (2015), p. 2325-2347
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.2325
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, , :
On a nonlinear partial differential algebraic system arising in technical textile industry: Analysis and numerics
In: IMA Journal of Numerical Analysis (2015)
ISSN: 0272-4979
DOI: 10.1093/imanum/drv056
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, :
Problemlösungskompetenz Mathematische Modellierung
In: Studien- und Berufsplaner Mathematik, Heidelberg: Springer Spektrum, 2015, p. 140-142
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Virtual production of filaments and fleeces
In: H. Neunzert, D. Prätzel-Wolters (ed.): Currents in Industrial Mathematics, Springer Berlin Heidelberg, 2015, p. 103-162
ISBN: 9783662482575
DOI: 10.1007/978-3-662-48258-2_6
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, , :
Virtuelle Produktion von Filamenten und Vliesstoffen
In: H. Neunzert, D. Praetzel-Wolters (ed.): Mathematik im Fraunhofer Institut, Heidelberg: Springer, 2015, p. 105-165
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, , :
2014
Numerical treatment on non-stationary viscous Cosserat rod in a two-dimensional Eulerian framework
In: Progress in Industrial Mathematics at ECMI 2012, Springer, 2014, p. 99-107
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, , , :
A priori error analysis for finite element approximations of the Stokes problem on dynamic meshes
In: IMA Journal of Numerical Analysis 34 (2014), p. 123-146
ISSN: 0272-4979
DOI: 10.1093/imanum/drt001
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, , :
A finite element pressure correction scheme for the Navier-Stokes equations with traction boundary condition
In: Computer Methods in Applied Mechanics and Engineering 279 (2014), p. 198-211
ISSN: 0045-7825
DOI: 10.1016/j.cma.2014.06.030
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Numerical simulation of two-phase flows with heat- and mass transfer
In: Discrete and Continuous Dynamical Systems 35 (2014), p. 2325-2347
ISSN: 1078-0947
DOI: 10.3934/dcds.2015.35.2325
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, , :
Riccati-based boundary feedback stabilization of incompressible Navier-Stokes flows
In: SIAM Journal on Scientific Computing 37 (2014), p. 832-858
ISSN: 1064-8275
DOI: 10.1137/140980016
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, , , :
Numerical Solution for 5-Layer Laminate Technique to determine Saturation Solubility of a Drug in a Thin Film of Pressure Sensitive Adhesive
In: Pharmaceutical Development and Technology 19 (2014), p. 634-640
ISSN: 1083-7450
DOI: 10.3109/10837450.2013.819016
URL: http://www.pharmtech.uni-erlangen.de
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, , :
Model-based medical decision support for glucose balance in ICU patients: Optimization and analysis
In: Progress in Industrial Mathematics at ECMI 2012, Springer, 2014, p. 237-243
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Asymptotic modeling framework for fiber-flow interactions in a two-way coupling
In: Progress in Industrial Mathematics at ECMI 2012, Springer, 2014, p. 109-117
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, , :
Progress in Industrial Mathematics at ECMI 2012
2014
(The European Consortium for Mathematics in Industry, Vol. 19)
ISBN: 978-3-319-05365-3
DOI: 10.1007/978-3-319-05365-3
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, , (ed.):
Mathematik für Ingenieure I für Dummies
Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2014
(Für Dummies)
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:
Efficient simultaion of random fields for fiber-fluid interactions in isotropic turbulence
In: Magnus Fontes, Michael Günther, Nicole Marheineke (ed.): Progress in Industrial Mathematics at ECMI 2012, Springer, 2014, p. 119-126 (Mathematics in Industry, Vol.19)
ISBN: 978-3-319-05364-6
DOI: 10.1007/978-3-319-05365-3_16
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, , :
Interface reorientation of cryogenic liquids under non-isothermal boundary conditions
In: Cryogenics 62 (2014), p. 48-59
ISSN: 0011-2275
DOI: 10.1016/j.cryogenics.2014.04.006
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, , , :
On viscoelastic fiber spinning: Die swell effect in 1d uniaxial UCM model
In: Progress in Industrial Mathematics at ECMI 2012, Springer, 2014, p. 91-98
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, , :
Optimal control of glucose balance in ICU patients based on GlucoSafe model
In: Journal of Mathematics in Industry 4 (2014)
ISSN: 2190-5983
DOI: 10.1186/2190-5983-4-3
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, , , :
On simulations of spinning processes with a stationary one-dimensional upper convected Maxwell model
In: Journal of Mathematics in Industry 4 (2014)
ISSN: 2190-5983
DOI: 10.1186/2190-5983-4-2
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, , :
Particulate flows with the subspace projection method
In: Journal of Computational Physics 260 (2014), p. 249-272
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2013.12.030
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Spaces of generalized smoothness in the critical case: optimal embeddings, continuity envelopes and approximation numbers
In: Journal of Approximation Theory 187 (2014), p. 82--117
ISSN: 0021-9045
DOI: 10.1016/j.jat.2014.07.010
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2013
The effect of mesh modification in time on the error control of fully discrete approximations for parabolic equations
In: Applied Numerical Mathematics 67 (2013), p. 35-63
ISSN: 0168-9274
DOI: 10.1016/j.apnum.2011.08.008
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, , :
A subspace projection method for the implementation of interface conditions in a single-drop flow problem
In: Journal of Computational Physics 252 (2013), p. 438-457
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2013.06.024
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, :
Semiconductor device optimization in the presence of thermal effects
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 93 (2013), p. 700-705
ISSN: 0044-2267
DOI: 10.1002/zamm.201100171
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, , :
Mathematik für Ingenieure II für Dummies
Weinheim: Wiley-VCH Verlag GmbH & Co. KGaA, 2013
(Für Dummies)
ISBN: 978-3-527-70693-8
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Random field sampling for a simplified model of melt-blowing considering turbulent velocity fluctuations
In: Journal of Statistical Physics 150 (2013), p. 1115-1137
ISSN: 0022-4715
DOI: 10.1007/s10955-013-0715-y
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, , , :
Sobolev spaces on Riemannian manifolds with bounded geometry: general coordinates and traces
In: Mathematische Nachrichten 286 (2013), p. 1586--1613
ISSN: 0025-584X
DOI: 10.1002/mana.201300007
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On trace spaces of 2-microlocal Besov spaces with variable integrability
In: Mathematische Nachrichten 286 (2013), p. 1240--1254
ISSN: 0025-584X
DOI: 10.1002/mana.201200092
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, , :
Non-smooth atomic decompositions, traces on Lipschitz domains, and pointwise multipliers in function spaces
In: Journal of Functional Analysis 264 (2013), p. 1197--1237
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2012.12.005
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2012
Estimating Blood Flow Based on 2D Angiographic Image Sequences
In: Bildverarbeitung für die Medizin 2012, Berlin, Heidelberg: Springer, 2012, p. 380-385
ISBN: 978-3-642-28502-8
DOI: 10.1007/978-3-642-28502-8-66
URL: http://link.springer.com/content/pdf/10.1007/978-3-642-28502-8_66.pdf
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, , , , :
Asymptotic models of different complexity for viscous jets and their applicability regimes
In: M. Günther A. Bartel, M. Brunk, S. Schöps, M. Striebel (ed.): Progress in Industrial Mathematics at ECMI 2010, Springer, 2012, p. 349-356
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, , :
An Improved Optimal Order Mixed Finite Element Method for Semilinear Transport Problems
In: Andrea Cangiani, Ruslan L. Davidchack, Emmanuil Georgoulis, Alexander N. Gorban, Jeremy Levesley, Michael V. Tretyakov (ed.): Numerical Mathematics and Advanced Applications 2011, Berlin Heidelberg: Springer, 2012, p. 247-255
ISBN: 978-3-642-33133-6
DOI: 10.1007/978-3-642-33134-3_27
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BauseBrunnerKnRadu_AnImprOptimOrdMixFinitElemMethodForSemilinTranspProbl
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, , , :
Optimal order convergence of a modified BDM 1 mixed finite element scheme for reactive transport in porous media
In: Advances in Water Resources 35 (2012), p. 163-171
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2011.10.001
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2012/2012_BrunnerRaduBauseKn_OptimalOrderConvergenceOfModifiedBDMMixedFiniteInPM
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, , , :
Stabilization of incompressible flow problems by Riccati-based feedback
In: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (ed.): Constrained Optimization and Optimal Control for Partial Differential Equations, Basel: Birkhäuser/ Springer Basel AG, 2012, p. 5-20 (International Series of Numerical Mathematics, Vol.160)
ISBN: 978-3-0348-0132-4
DOI: 10.1007/978-3-0348-0133-1_1
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Optimization of electro-mechanical smart structures
In: Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich, Stefan Ulbrich, (ed.): Constrained Optimization and Optimal Control for Partial Differential Equations, Basel: Birkhäuser/ Springer Basel AG, 2012, p. 501-519 (International Series of Numerical Mathematics, Vol.160)
ISBN: 978-3-0348-0132-4
DOI: 10.1007/978-3-0348-0133-1_26
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, , , , :
A posteriori error control for fully discrete Crank-Nicolson schemes
In: SIAM Journal on Numerical Analysis 50 (2012), p. 2845-2872
ISSN: 0036-1429
DOI: 10.1137/110839424
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, , :
A comparison of several time discretization methods for free surface flows
In: Angela Handlovicova, Zuzana Minarechova, Daniel Sevcovic (ed.): ALGORITMY 2012, 19th Conference on Scientific Computing, 2012, p. 331-341
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Linearly implicit time discretization for free surface problems
In: Proceedings in Applied Mathematics and Mechanics 12 (2012), p. 525-526
ISSN: 1617-7061
DOI: 10.1002/pamm.201210251
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On the stability of an evaporating liquid surface
In: Fluid Dynamics Research 44 (2012), p. 0314019
ISSN: 0169-5983
DOI: 10.1088/0169-5983/44/3/031409
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Multiphysics and multimethods problem of rotational glass fiber melt-spinning
In: International Journal of Numerical Analysis and Modeling 3 (2012), p. 330-344
ISSN: 1705-5105
URL: http://publica.fraunhofer.de/documents/N-356255.html
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, , , , :
Model hierarchies in space-mapping optimization: Feasibility study for transport processes
In: Journal of Computational Methods in Sciences and Engineering 12 (2012), p. 63-74
ISSN: 1472-7978
DOI: 10.3233/JCM-2012-0404
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, :
Space mapping-focused control techniques for particle dispersions in fluids
In: Optimization and Engineering 13 (2012), p. 101-120
ISSN: 1389-4420
DOI: 10.1007/s11081-011-9150-6
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, , :
Stochastic PDAE-models and associated Monte-Carlo simulations for elastic threads in turbulent flows
In: M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (ed.): Progress in Industrial Mathematics at ECMI 2010, Springer, 2012, p. 239-246
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Numerical treatment of fiber-fiber and fiber-obstacle contacts in technical textile manufacturing
In: M. Günther, A. Bartel, M. Brunk, S. Schöps, M. Striebel (ed.): Progress in Industrial Mathematics at ECMI 2010, 2012, p. 335-340
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, , , :
Conductivity in nonpolar media: Experimental and numerical studies on sodium AOT-hexadecane, lecithin-hexadecane and aluminum(III)-3,5-diisopropyl salicylate-hexadecane systems
In: Journal of Colloid and Interface Science 386 (2012), p. 240-251
ISSN: 0021-9797
DOI: 10.1016/j.jcis.2012.07.051
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, , , , , , :
Homogeneity property of Besov and Triebel-Lizorkin spaces
In: Journal of Function Spaces and Applications (2012), p. Art. ID 281085, 17
ISSN: 0972-6802
DOI: 10.1155/2012/281085
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, :
2011
Fluid-fiber-interactions in rotational spinning process of glass wool production
In: Journal of Mathematics in Industry 1 (2011), p. 1-26
ISSN: 2190-5983
DOI: 10.1186/2190-5983-1-2
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, , , :
Asymptotic transition from cosserat rod to string models for curved viscous inertial jets
In: Mathematical Models & Methods in Applied Sciences 21 (2011), p. 1987-2018
ISSN: 0218-2025
DOI: 10.1142/S0218202511005635
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, , :
Preconditioning a class of fourth order problems by operator splitting
In: Numerische Mathematik 118 (2011), p. 197-228
ISSN: 0029-599X
DOI: 10.1007/s00211-010-0333-4
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, , :
Fully implicit time discretization for a free surface flow problem
In: Proceedings in Applied Mathematics and Mechanics 11 (2011), p. 619-620
ISSN: 1617-7061
DOI: 10.1002/pamm.201110299
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, :
Efficient Image Segmentation for Detection of Dislocations in High Resolution Light Microscope Images of SiC Wafers
In: Materials Science Forum 679-680 (2011), p. 277-281
ISSN: 0255-5476
DOI: 10.4028/www.scientific.net/MSF.679-680.277
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, , , , :
Adjoint-based optimal control using meshfree discretizations
In: Journal of Computational and Applied Mathematics 235 (2011), p. 3138-3150
ISSN: 0377-0427
DOI: 10.1016/j.cam.2010.12.018
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, , :
Mathematiker spinnen?! - Asymptotische Modellierung
In: K. Wendland, A. Werner (ed.): Facettenreiche Mathematik - Einblicke in die moderne mathematische Forschung, Wiesbaden: Vieweg + Teubner, 2011, p. 273-290
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Modeling and application of a stochastic drag for fibers in turbulent flows
In: International Journal of Multiphase Flow 37 (2011), p. 136-148
ISSN: 0301-9322
DOI: 10.1016/j.ijmultiphaseflow.2010.10.001
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Two adjoint-based optimization approaches for a free surface Stokes flow
In: SIAM Journal on Applied Mathematics 71 (2011), p. 2168-2184
ISSN: 0036-1399
DOI: 10.1137/100797953
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, , :
Trace operators on fractals, entropy and approximation numbers
In: Georgian Mathematical Journal 18 (2011), p. 549--575
ISSN: 1072-947X
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Traces of Besov and Triebel-Lizorkin spaces on domains
In: Mathematische Nachrichten 284 (2011), p. 572--586
ISSN: 0025-584X
DOI: 10.1002/mana.201010052
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Optimal embeddings of spaces of generalized smoothness in the critical case
In: Journal of Fourier Analysis and Applications 17 (2011), p. 777--800
ISSN: 1069-5869
DOI: 10.1007/s00041-010-9155-0
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, , :
On the effect of self-penalization of piezoelectric composites in topology optimization
In: Structural and Multidisciplinary Optimization 43 (2011), p. 405-417
ISSN: 1615-147X
DOI: 10.1007/s00158-010-0570-2
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, , , , , :
2010
Numerical analysis of Cosserat rod and string models for viscous jets in rotational spinning processes
In: Mathematical Models & Methods in Applied Sciences 20 (2010), p. 1941-1965
ISSN: 0218-2025
DOI: 10.1142/S0218202510004738
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, , , :
First-order convergence of multi-point flux approximation on triangular grids and comparison with mixed finite element methods
In: Numerische Mathematik 116 (2010), p. 1-29
ISSN: 0029-599X
DOI: 10.1007/s00211-010-0290-y
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2010/2010_BauseHoffmannKn_FirstorderConvergenceOfMultiPointFlux
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, , :
Mathematik für Ingenieure I für Dummies
Weinheim: Wiley-VCH Verlag GmbH & Co KGaA, 2010
(Für Dummies)
ISBN: 978-3-527-70504-7
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:
Models and methods for viscous jets, break-up and drop forming
In: A. Fitt, J. Norbury, H. Ockendon, E. Wilson (ed.): Progress in Industrial Mathematics at ECMI 2008, Springer, 2010, p. 589-590
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General sting theory for dynamic curved viscida with surface tension
In: A. Fitt, J. Norbury H. Ockendon, E. Wilson (ed.): Progress in Industrial Mathematics at ECMI 2008, Springer, 2010, p. 591-596
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, :
Numerical simulation of suspension induced rheology
In: Kybernetika 46 (2010), p. 281-293
ISSN: 0023-5954
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, :
Trace operators in Besov and Triebel-Lizorkin spaces
In: Zeitschrift für Analysis und ihre Anwendungen 29 (2010), p. 275--302
ISSN: 0232-2064
DOI: 10.4171/ZAA/1409
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Influence of the Weissenberg number on the stability of Oldroyd kind fluids
In: Asia-Pacific Journal of Chemical Engineering 5 (2010), p. 657-673
ISSN: 1932-2135
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2009
2d simulations of interfacial instabilities at deformable single doplets
Seventh International Conference on CFD in the Minerals and Process Industries, CSIRO (Melbourne, 09-12-2009 - 11-12-2009)
In: Proceedings of the Seventh International Conference on CFD in the Minerals and Process Industries, CSIRO 2009
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, , , :
Multichannel image segmentation using adaptive finite elements
In: Computing and Visualization in Science 12 (2009), p. 125 - 135
ISSN: 1432-9360
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Hierarchy of mathematical models for production processes of technical textiles
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 89 (2009), p. 941-961
ISSN: 0044-2267
DOI: 10.1002/zamm.200900282
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, , :
Asymptotic model for the dynamics of curved viscous fibres with surface tension
In: Journal of Fluid Mechanics 622 (2009), p. 345-369
ISSN: 0022-1120
DOI: 10.1017/S0022112008005259
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Numerical simulation of drug release from collagen matrices by Enzymatic degradation
In: Computing and Visualization in Science 12 (2009), p. 409-420
ISSN: 1432-9360
DOI: 10.1007/s00791-008-0118-9
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2009/2009_RaduBauseKnFriessMetzmacher_NumericalSimulationOfDrugReleaFromCollagenMetricsByEnzymDegrad
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, , , , :
Besov spaces with positive smoothness (Dissertation, 2009)
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On dilation operators in Besov spaces
In: Revista Matematica Complutense 22 (2009), p. 111--128
ISSN: 1139-1138
DOI: 10.5209/rev_REMA.2009.v22.n1.16324
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Spaces of Sobolev type with positive smoothness on {$\Bbb R^n$}, embeddings and growth envelopes
In: Journal of Function Spaces and Applications 7 (2009), p. 251--288
ISSN: 0972-6802
DOI: 10.1155/2009/815676
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Besov spaces with positive smoothness on {$\Bbb R^n$}, embeddings and growth envelopes
In: Journal of Approximation Theory 161 (2009), p. 723--747
ISSN: 0021-9045
DOI: 10.1016/j.jat.2008.12.004
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On dilation operators in Triebel-Lizorkin spaces
In: Functiones et Approximatio, Commentarii Mathematici 41 (2009), p. 139--162
ISSN: 0208-6573
DOI: 10.7169/facm/1261157806
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Transient Rise Velocity and Mass Transfer of a Single Drop with Interfacial Instabilities
In: Chemical Engineering Science 64 (2009), p. 4835-4845
ISSN: 0009-2509
DOI: 10.1016/j.ces.2009.07.023
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Topology optimization of a piezoelectric-mechanical actuator with single- and multiple-frequency excitation
In: International Journal of Applied Electromagnetics and Mechanics 30 (2009), p. 201-221
ISSN: 1383-5416
DOI: 10.3233/JAE-2009-1022
URL: http://content.iospress.com/articles/international-journal-of-applied-electromagnetics-and-mechanics/jae01022
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, , , , :
2008
Mathematical and numerical modelling of fluid flow in elastic tubes
In: Egon Krause, Yurii I. Shokin, Michael Resch, Nina Shokina (ed.): Computational Science and High Performance Computing III, Springer, 2008, p. 102-121 (Notes on Numerical Fluid Mechanics and Multidisciplinary Design, Vol.101)
DOI: 10.1007/978-3-540-69010-8_9
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, , , :
Dependency of the Apparent Contact Angle on Nonisothermal Conditions
In: Physics of Fluids 20 (2008), p. 042101
ISSN: 0031-9171
DOI: 10.1063/1.2899641
URL: http://link.aip.org/link/?PHFLE6/20/042101/1
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, , , , :
Systematic derivation of an asymptotic model for the dynamics of curved viscous fibers
In: Mathematical Methods in the Applied Sciences 31 (2008), p. 1153-1173
ISSN: 0170-4214
DOI: 10.1002/mma.962
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, , :
2007
Hydrodynamic limit for the Fokker-Planck equation describing fiber lay-down models
In: SIAM Journal on Applied Mathematics 68 (2007), p. 648-665
ISSN: 0036-1399
DOI: 10.1137/070692728
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, , , , :
A stochastic model and associated Fokker-Planck equation for the fiber lay-down process in nonwoven production processes
In: SIAM Journal on Applied Mathematics 67 (2007), p. 1704-1717
ISSN: 0036-1399
DOI: 10.1137/06067715X
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, , , :
Fiber dynamics in turbulent flows: Specific taylor drag
In: SIAM Journal on Applied Mathematics 68 (2007), p. 1-23
ISSN: 0036-1399
DOI: 10.1137/06065489X
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, :
Dynamics of curved viscous fibers
In: L. L. Bonilla, M. Moscoso, G. Platero, J. M. Vega (ed.): Progress in Industrial Mathematics at ECMI 2006, Springer, 2007, p. 685-690
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2006
Two- and three-dimensional transient melt-flow simulation in vapour-pressure-controlled Czochralski crystal growth
In: Computers & Fluids 35 (2006), p. 1400-1419
ISSN: 0045-7930
DOI: 10.1016/j.compfluid.2005.01.004
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, , , , :
A Variational Framework for Joint Image Registration, Denoising and Edge Detection
Bildverarbeitung für die Medizin BVM 2007 Algorithmen, Systeme, Anwendungen (Hamburg, 19-03-2006 - 21-03-2006)
In: Handels H., Ehrhardt J., Horsch A., Meinzer H.-P., Tolxdorff T. (ed.): Bildverarbeitung für die Medizin 2006, Hamburg: 2006
DOI: 10.1007/3-540-32137-3_50
URL: http://www5.informatik.uni-erlangen.de/Forschung/Publikationen/2006/Han06-VAJ.pdf
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, , , , , , , :
Fiber dynamics in turbulent flows: General modeling framework
In: SIAM Journal on Applied Mathematics 66 (2006), p. 1703-1726
ISSN: 0036-1399
DOI: 10.1137/050637182
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Effective laws for the Poisson equation on domains with curved oscillating boundaries
In: Applicable Analysis (2006), p. 479-502
ISSN: 0003-6811
DOI: 10.1080/00036810500340476
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, , :
Growth envelopes in Sobolev spaces (Diploma thesis, 2006)
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2005
Finite element method for epitaxial growth with thermodynamic boundary conditions
In: SIAM Journal on Scientific Computing 26 (2005), p. 2029-2046
ISSN: 1064-8275
DOI: 10.1137/030601028
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, , :
Computational Comparison Between the Taylor-Hood and the Conforming Crouzeix-Raviart Element
17th Conference on Scientific Computing (Podbanské, Vysoké Tatry,, 13-03-2005 - 18-03-2005)
In: Handlovicova, Angela ; Kriva, Zuzana ; Mikula, Karol ; Sevcovic, Daniel (ed.): ALGORITMY 2005 2005
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A Finite Element Method for Surface Diffusion: the Parametric Case
In: Journal of Computational Physics 203 (2005), p. 321-343
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2004.08.022
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, , :
Numerical and Stability Aspects of Non-Newtonian Fluid Flow
In: Proceedings in Applied Mathematics and Mechanics 5 (2005), p. 841-842
ISSN: 1617-7061
DOI: 10.1002/pamm.200510392
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Mini-Workshop: Interface Problems in Computational Fluid Dynamics
In: Oberwolfach reports 2 (2005), p. 465-502
ISSN: 1660-8933
URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1660-8933&vol=2&iss=1&rank=8
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, , :
Impact of Marangoni Effects on the Apparent Contact Angle - A Numerical Investigation
In: Microgravity Science and Technology 17 (2005), p. 39-44
ISSN: 0938-0108
DOI: 10.1007/BF02872086
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Modeling of turbulence effects on fiber motion
In: A. Di Bucchianico, R. M. M. Mattheij, M. A. Peletier (ed.): Progress in Industrial Mathematics at ECMI 2004, Springer, 2005, p. 366-370
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Turbulent Fibers - On the Motion of Long Flexible Fibers in Turbulent Flows (Dissertation, 2005)
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2004
Quasi-Stability of the Primary Flow in a Cone and Plate Viscometer
In: Journal of Mathematical Fluid Mechanics 6 (2004), p. 253-271
ISSN: 1422-6928
DOI: 10.1007/s00021-003-0093-3
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Experimental and Numerical Investigation of Edge Tones
In: ZAMM - Zeitschrift für angewandte Mathematik und Mechanik 84 (2004), p. 632-646
ISSN: 0044-2267
DOI: 10.1002/zamm.200310122
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, , :
Computation of variably saturated subsurface flow by adaptive mixed hybrid finite element methods
In: Advances in Water Resources 27 (2004), p. 565-581
ISSN: 0309-1708
DOI: 10.1016/j.advwatres.2004.03.005
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_ComputOfVariabSaturSubsurfFlowByAdaptMixHyridFinitElemtMeth
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Numerical simulation of contaminant biodegradation by higher order methods and adaptive time stepping
In: Computing and Visualization in Science 7 (2004), p. 61-78
ISSN: 1432-9360
DOI: 10.1007/s00791-004-0139-y
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_NumericalSimulationOfContaminaBiodegradTimeStepping
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On uniform convergence rates for Eulerian and Lagrangian finite element approximations of convection-dominated diffusion problems
In: Calcolo 41 (2004), p. 1-26
ISSN: 0008-0624
DOI: 10.1007/s10092-004-0081-x
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2004/2004_BauseKn_OnUniformConvergenceRatesForEulerianLagrangianFinElemApproxOfConvDominDiffProbl
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Uniaxial, Extensional Flows in Liquid Bridges
In: Journal of Fluid Mechanics 521 (2004), p. 353-379
ISSN: 0022-1120
DOI: 10.1017/S0022112004001193
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, , :- Bänsch Eberhard, Davis Dominic, Langmach Hartmut, Miller Wolfram, Rehse Uwe, Reinhardt Gerd, Uhle Manfred:
Axisymmetric and 3D Calculations of Melt Flow During VCz Growth
In: Journal of Crystal Growth 266 (2004), p. 60-66
ISSN: 0022-0248
DOI: 10.1016/j.jcrysgro.2004.02.030
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Finite Element Method for Epitaxial Growth with Attachment-Detachment Kinetics
In: Journal of Computational Physics 194 (2004), p. 409-434
ISSN: 0021-9991
DOI: 10.1016/j.jcp.2003.09.029
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, , , , :
Finite Element Methods for Surface Diffusion
Conference on Free Boundary Problems (Trento)
In: Free Boundary Problems: Theory and Applications, Basel: 2004
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, , :
Surface Diffusion of Graphs: Variational Formulation, Error Analysis, and Simulation
In: SIAM Journal on Numerical Analysis 42 (2004), p. 773-799
ISSN: 0036-1429
DOI: 10.1137/S0036142902419272
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, , :
A Level Set Based Finite Element Algorithm for the Simulation of Dendritic Growth
In: Computing and Visualization in Science 7 (2004), p. 97-110
ISSN: 1432-9360
DOI: 10.1007/s00791-004-0141-4
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A model for two phase flow with evaporation
3rd International Symposium on Two-Phase Flow Modelling and Experimentation (Pisa, 22-09-2004 - 24-09-2004)
In: Proceedings of 3rd International Symposium on Two-Phase Flow Modelling and Experimentation 2004
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, , , :
Modified FEM for fibre-fluid interactions
In: A. D. Fitt, A. Buikis, R. Ciegis (ed.): Progress in Industrial Mathematics at ECMI 2002, Springer, 2004, p. 81-90
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Criteria for the approximation property for multigrid methods in nonnested spaces
In: Mathematics of Computation 73 (2004), p. 1583-1600
ISSN: 0025-5718
DOI: 10.1090/S0025-5718-04-01628-X
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2003
Simulation of Industrial Crystal Growth by the Vertical Bridgman Method
In: Willi Jäger, Hans-Joachim Krebs (ed.): Mathematics - Key Technology for the Future, Berlin: Springer, 2003, p. 331-342
ISBN: 3-540-44220-0
DOI: 10.1007/978-3-642-55753-8_26
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, , , , , , :
Challenges in Scientific Computing - CISC 2002
Berlin: 2003
(Lecture Notes in Computational Science and Engineering, Vol. 35)
ISBN: 978-3-540-40887-1
URL: http://www.springer.com/dal/home/?SGWID=1-40356-22-12701795-0
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(ed.):
Image segmentation using adaptive finite elements.
(2003)
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(Working Paper)
:
Mesh-less method for homogeneous handling of fiber-fluid interactions
In: K.J. Bathe (ed.): Computational Fluid and Solid Mechanics, Elsevier Inc., 2003, p. 2067-2070
ISBN: 9780080440460
DOI: 10.1016/B978-008044046-0.50507-8
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On using Common Lisp in scientific computing
In: Proceedings of the CISC 2002 2003
DOI: 10.1007/978-3-642-19014-8_11
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2002
Uniform error analysis for Lagrange-Galerkin approximations of convection-dominated problems
In: SIAM Journal on Numerical Analysis 39 (2002), p. 1954-1984
ISSN: 0036-1429
DOI: 10.1137/S0036142900367478
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_BauseKn_UniformErrAnalysisForLangrGalerkinApproxOfConveDominaProb
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An Operator-Splitting Finite-Element Approach to an 8:1 Thermal Cavity Problem
In: International Journal For Numerical Methods in Fluids 40 (2002), p. 1019-1030
ISSN: 0271-2091
DOI: 10.1002/fld.388
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An Adaptive Uzawa FEM for the Stokes Problem: Convergence without the Inf-Sup Condition
In: SIAM Journal on Numerical Analysis 40 (2002), p. 1207-1229
ISSN: 0036-1429
DOI: 10.1137/S0036142901392134
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A new sparse matrix storage method for adaptive solving of large systems of reaction-diffusion-transport equations
In: Computing 68,1 (2002), p. 19--36
ISSN: 0010-485X
DOI: 10.1007/978-3-642-60185-9_19
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Multigrid and homogenisation
In: Deconinck H (ed.): 32nd Computational Fluid Dynamics---Multiscale Methods, Belgium: von Karman Institute, 2002 (Lecture Series, Vol.2002-06)
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Filtering procedures for flow in heterogeneous porous media: numerical results
In: Computing and Visualization in Science 5 (2002), p. 67--72
ISSN: 1432-9360
DOI: 10.1007/s00791-002-0088-2
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, , :
Modeling of Drug Release From Collagen Matrices
In: Journal of Pharmaceutical Sciences 91 (2002), p. 964-972
ISSN: 0022-3549
DOI: 10.1002/jps.10098
URL: https://www1.am.uni-erlangen.de/research/publications/Jahr_2002/2002_RaduBauseKnLeeFriess_ModelingOfDrugReleaseFromCollagenMatrices
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2001
Finite Element Discretization of the Navier-Stokes Equations with a Free Capillary Surface
In: Numerische Mathematik 88 (2001), p. 203-235
ISSN: 0029-599X
DOI: 10.1007/PL00005443
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Adaptivity in 3D Image Processing
In: Computing and Visualization in Science 4 (2001), p. 21-30
ISSN: 1432-9360
DOI: 10.1007/s007910100053
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Simulation and Numerical Analysis of Dendritic Growth
In: Bernold Fiedler (ed.): Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, Berlin, Heidelberg: Springer Berlin Heidelberg, 2001, p. 225 - 252
ISBN: 978-3-642-56589-2
DOI: 10.1007/978-3-642-56589-2_10
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Asymptotic analysis of the laminar viscous flow over a porous bed
In: SIAM Journal on Computing 22,6 (2001), p. 2006--2028
ISSN: 0097-5397
DOI: 10.1137/S1064827599360339
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Modified FEM for Fibre-Fluid Interactions (Diploma thesis, 2001)
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Homogenization and Multigrid
In: Computing 66 (2001), p. 1--26
ISSN: 0010-485X
DOI: 10.1007/s006070170036
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2000
Numerical Treatment of the Navier-Stokes Equations with Slip Boudary Condition
In: SIAM Journal on Scientific Computing 21 (2000), p. 2144-2162
ISSN: 1064-8275
DOI: 10.1137/S1064827598343991
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Taylor-Couette System with Asymmetric Boundary Conditions
11th International Couette-Taylor Workshop (Bremen)
In: Physics of Rotating Fluids, Berlin: 2000
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Simulation of Dendritic Crystal Growth with Thermal Convection
In: Interfaces and Free Boundaries 2 (2000), p. 95-115
ISSN: 1463-9963
URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1463-9963&vol=2&iss=1&rank=4
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, :- Hoeg S., Neuss N., Schöler H.F., Warnatz J., Jäger W.:
Detailed modeling of soil vapor extraction systems
In: Proceedings of the CMWR XIII, Alberta, Canada: 2000
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1999
Optimal Error Estimates for the Stokes and Navier-Stokes Equations with Slip-Boundary Condition
In: Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique Et Analyse Numerique 33 (1999), p. 923-938
ISSN: 0764-583X
DOI: 10.1051/m2an:1999126
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Numerical Simulation of a Silicon Floating Zone with a Free Capillary Surface
In: Keil, F., Mackens, W., Voß, H., Werther, J. (ed.): Scientific Computing in Chemical Engineering II, Berlin: Springer, 1999, p. 328-335
ISBN: 3-540-65848-3
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1998
Numerical methods for the instationary Navier-Stokes equations with a free capillary surface (Habilitation, 1998)
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Simulation of Instationary, Incompressible Flows
In: Acta Mathematica Universitatis Comenianae 67 (1998), p. 101-114
ISSN: 0862-9544
URL: http://www.emis.de/journals/AMUC/_vol-67/_no_1/_baensch/baensch.html
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Adaptive Finite Elements for Exterior Domain Problems
In: Numerische Mathematik 80 (1998), p. 497-523
ISSN: 0029-599X
DOI: 10.1007/s002110050376
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Modeling and Numerical Simulation of the Infrared Photoablation Process
In: Laser-Tissue Interaction, Tissue Optics, and Laser Welding III, Bellingham: 1998
DOI: 10.1117/12.297904
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V-Cycle Convergence with Unsymmetric Smoothers and Application to an Anisotropic Model Problem
In: SIAM Journal on Numerical Analysis 35 (1998), p. 1201--1212
ISSN: 0036-1429
DOI: 10.1137/S0036142996310848
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1997
UG -- A flexible software toolbox for solving partial differential equations
In: Computing and Visualization in Science 1 (1997), p. 27--40
ISSN: 1432-9360
DOI: 10.1007/s007910050003
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A Coarsening Finite Element Strategy in Image Selective Smoothing
In: Computing and Visualization in Science 1 (1997), p. 53-61
ISSN: 1432-9360
DOI: 10.1007/s007910050005
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Modelling of Infrared Soft-Tissue Photoablation Process
In: Applied Physics B-Lasers and Optics 65 (1997), p. 659-666
ISSN: 0946-2171
DOI: 10.1007/s003400050328
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1996
Numerical Simulation of Infrared Photoablation
Laser-Tissue Interaction and Tissue Optics II (Vienna, Austria, 07-09-1996 - 10-09-1996)
In: Laser-Tissue Interaction and Tissue Optics II, Bellingham: 1996
DOI: 10.1117/12.260734
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1995
Mesh Refinement in Two and Three Dimensions Calcul d'erreur a posteriori et adaptation de maillage
In: Calcul d'erreur a posteriori et adaptation de maillage, Rocquencourt: INRIA, 1995, p. 307-331
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Numerical Experiments with Adaptivity for the Porous Medium Equation
In: Acta Mathematica Universitatis Comenianae 64 (1995), p. 157-172
ISSN: 0862-9544
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1993
Adaptive Finite-Element Techniques for Navier-Stokes Equations and other Transient Problems
In: Adaptive Finite and Boundary Element Methods, Southampton: Computational Mechanics Publications, 1993, p. 47-76
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1992
A Finite Element Method for Dendritic Growth
In: Computational Crystal Growers Workshop, Providence: 1992
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1991
An Adaptive Finite-Element-Strategy for the Three-Dimensional Time-Dependent Navier-Stokes Equations
In: Journal of Computational and Applied Mathematics 36 (1991), p. 3-28
ISSN: 0377-0427
DOI: 10.1016/0377-0427(91)90224-8
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Local Mesh Refinement in 2 and 3 Dimensions
In: IMPACT of Computing in Science and Engineering 3 (1991), p. 181-191
ISSN: 0899-8248
DOI: 10.1016/0899-8248(91)90006-G
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