Publications
2022
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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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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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2021
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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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2020
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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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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)
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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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2019
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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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2018
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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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2017
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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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2016
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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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2015
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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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2014
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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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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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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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2013
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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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2012
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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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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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2011
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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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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
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Numerical simulation of suspension induced rheology
In: Kybernetika 46 (2010), p. 281-293
ISSN: 0023-5954
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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
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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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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
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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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2006
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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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2005
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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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2004
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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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Uniaxial, Extensional Flows in Liquid Bridges
In: Journal of Fluid Mechanics 521 (2004), p. 353-379
ISSN: 0022-1120
DOI: 10.1017/S0022112004001193
BibTeX: Download - 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 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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2003
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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
BibTeX: Download - (ed.):
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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2002
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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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2001
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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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2000
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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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1999
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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
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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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1997
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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
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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
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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
BibTeX: Download - :
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
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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
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A Finite Element Method for Dendritic Growth
In: Computational Crystal Growers Workshop, Providence: 1992
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1991
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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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