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## Dörfler, Willy

Compute Distance To:
 Author ID: dorfler.willy Published as: Doerfler, W.; Dörfler, W.; Dörfler, Willy External Links: MGP · Wikidata
 Documents Indexed: 39 Publications since 1982, including 2 Books
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#### Co-Authors

 9 single-authored 4 Nirschl, Hermann 4 Wieners, Christian 3 Ainsworth, Mark 3 Bülow, F. 2 Findeisen, Stefan 2 Hamberger, P. 2 Iliev, Oleg P. 2 Krause, Mathias J. 2 Stoyanov, Dimitar 2 Vassileva, Daniela 2 Ziegler, Daniel 1 Bänsch, Eberhard 1 Bürg, Markus 1 Carstensen, Carsten 1 Castelli, G. F. 1 Dohnal, Tomáš 1 Gerner, Hannes 1 Goncharova, Olga N. 1 Henn, Thomas 1 Heuveline, Vincent 1 Höcker, Stephan B. 1 Kröner, Dietmar 1 Lechleiter, Armin 1 Maier, Markus 1 Nochetto, Ricardo Horacio 1 Nürnberg, Robert 1 Plum, Michael 1 Rumpf, Martin 1 Sauter, Stefan A. 1 Schnaubelt, Roland 1 Schneider, Guido 1 Siebert, Kunibert G. 1 Thäter, Gudrun 1 Trunk, Robin 1 Wilderotter, Olga
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#### Serials

 4 Numerische Mathematik 3 Computers and Fluids 3 Mathematics of Computation 3 SIAM Journal on Numerical Analysis 3 Computational Methods in Applied Mathematics 2 Applicable Analysis 2 Computing 2 Applied Numerical Mathematics 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 SIAM Journal on Scientific Computing 1 Computing and Visualization in Science 1 European Journal of Mechanics. B. Fluids 1 Multiscale Modeling & Simulation 1 Oberwolfach Reports 1 Oberwolfach Seminars
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#### Fields

 29 Numerical analysis (65-XX) 21 Partial differential equations (35-XX) 11 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 2 Differential geometry (53-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH

28 Publications have been cited 632 times in 562 Documents Cited by Year
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
1996
Small data oscillation implies the saturation assumption. Zbl 0995.65109
Dörfler, Willy; Nochetto, Ricardo H.
2002
Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow. Zbl 1078.76041
Dörfler, W.; Ainsworth, M.
2005
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105
Dörfler, W.; Rumpf, M.
1998
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
2011
Convergence of an adaptive $$hp$$ finite element strategy in one space dimension. Zbl 1123.65079
Dörfler, W.; Heuveline, V.
2007
Convergence of an adaptive $$hp$$ finite element strategy in higher space-dimensions. Zbl 1230.65115
Bürg, M.; Dörfler, W.
2011
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Zbl 1360.65234
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian
2016
Parallel dilute particulate flow simulations in the human nasal cavity. Zbl 1390.76938
Henn, Thomas; Thäter, Gudrun; Dörfler, Willy; Nirschl, Hermann; Krause, Mathias J.
2016
Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy. Zbl 0988.65096
Ainsworth, M.; Dörfler, W.
2001
An adaptive finite element method for a linear elliptic equation with variable coefficients. Zbl 0956.65105
Dörfler, W.; Wilderotter, O.
2000
A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation. Zbl 0860.65097
Dörfler, Willy
1996
The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics. Zbl 0705.76026
Dörfler, W.
1990
Local well-posedness of a quasilinear wave equation. Zbl 1350.35128
Dörfler, Willy; Gerner, Hannes; Schnaubelt, Roland
2016
Uniform a priori estimates for singularly perturbed elliptic equations in multidimensions. Zbl 0979.35016
Dörfler, W.
1999
A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002
Dörfler, Willy; Sauter, Stefan
2013
A robust adaptive strategy for the nonlinear Poisson equation. Zbl 0846.65057
Dörfler, W.
1995
Towards the simulations of inertial dense particulate flows with a volume-averaged lattice Boltzmann method. Zbl 1390.76892
Höcker, Stephan B.; Trunk, Robin; Dörfler, Willy; Krause, Mathias J.
2018
Uniform error estimates for an exponentially fitted finite element method for singularly perturbed elliptic equations. Zbl 0934.65117
Dörfler, W.
1999
Adaptive finite elements for exterior domain problems. Zbl 0928.65138
Bänsch, E.; Dörfler, W.
1998
Hierarchical bases for elliptic problems. Zbl 0766.65088
Dörfler, W.
1992
An elliptic problem with strongly nonlinear interface condition. Zbl 1433.35124
Dörfler, Willy; Maier, Markus
2020
Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. Zbl 07224806
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian; Ziegler, Daniel
2019
On the settling behaviour of polydisperse particle clouds in viscous fluids. Zbl 1408.76176
Bülow, F.; Nirschl, H.; Dörfler, W.
2015
Coupled mode equation modeling for out-of-plane gap solitons in 2D photonic crystals. Zbl 1270.35176
Dohnal, Tomáš; Dörfler, Willy
2013
Robust discretization and a posteriori control for strongly oscillating solutions of the stationary Schrödinger equation. Zbl 1284.65150
Dörfler, Willy
2011
Fluid flow with dynamic contact angle: Numerical simulation. Zbl 0998.35039
Dörfler, W.; Goncharova, O.; Kröner, D.
2002
On the direct product of hypergraphs. Zbl 0503.05048
Doerfler, W.
1982
An elliptic problem with strongly nonlinear interface condition. Zbl 1433.35124
Dörfler, Willy; Maier, Markus
2020
Parallel adaptive discontinuous Galerkin discretizations in space and time for linear elastic and acoustic waves. Zbl 07224806
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian; Ziegler, Daniel
2019
Towards the simulations of inertial dense particulate flows with a volume-averaged lattice Boltzmann method. Zbl 1390.76892
Höcker, Stephan B.; Trunk, Robin; Dörfler, Willy; Krause, Mathias J.
2018
Space-time discontinuous Galerkin discretizations for linear first-order hyperbolic evolution systems. Zbl 1360.65234
Dörfler, Willy; Findeisen, Stefan; Wieners, Christian
2016
Parallel dilute particulate flow simulations in the human nasal cavity. Zbl 1390.76938
Henn, Thomas; Thäter, Gudrun; Dörfler, Willy; Nirschl, Hermann; Krause, Mathias J.
2016
Local well-posedness of a quasilinear wave equation. Zbl 1350.35128
Dörfler, Willy; Gerner, Hannes; Schnaubelt, Roland
2016
On the settling behaviour of polydisperse particle clouds in viscous fluids. Zbl 1408.76176
Bülow, F.; Nirschl, H.; Dörfler, W.
2015
A posteriori error estimation for highly indefinite Helmholtz problems. Zbl 1287.35002
Dörfler, Willy; Sauter, Stefan
2013
Coupled mode equation modeling for out-of-plane gap solitons in 2D photonic crystals. Zbl 1270.35176
Dohnal, Tomáš; Dörfler, Willy
2013
Photonic crystals. Mathematical analysis and numerical approximation. Zbl 1238.78001
Dörfler, Willy; Lechleiter, Armin; Plum, Michael; Schneider, Guido; Wieners, Christian
2011
Convergence of an adaptive $$hp$$ finite element strategy in higher space-dimensions. Zbl 1230.65115
Bürg, M.; Dörfler, W.
2011
Robust discretization and a posteriori control for strongly oscillating solutions of the stationary Schrödinger equation. Zbl 1284.65150
Dörfler, Willy
2011
Convergence of an adaptive $$hp$$ finite element strategy in one space dimension. Zbl 1123.65079
Dörfler, W.; Heuveline, V.
2007
Reliable a posteriori error control for nonconforming finite element approximation of Stokes flow. Zbl 1078.76041
Dörfler, W.; Ainsworth, M.
2005
Small data oscillation implies the saturation assumption. Zbl 0995.65109
Dörfler, Willy; Nochetto, Ricardo H.
2002
Fluid flow with dynamic contact angle: Numerical simulation. Zbl 0998.35039
Dörfler, W.; Goncharova, O.; Kröner, D.
2002
Fundamental systems of numerical schemes for linear convection-diffusion equations and their relationship to accuracy. Zbl 0988.65096
Ainsworth, M.; Dörfler, W.
2001
An adaptive finite element method for a linear elliptic equation with variable coefficients. Zbl 0956.65105
Dörfler, W.; Wilderotter, O.
2000
Uniform a priori estimates for singularly perturbed elliptic equations in multidimensions. Zbl 0979.35016
Dörfler, W.
1999
Uniform error estimates for an exponentially fitted finite element method for singularly perturbed elliptic equations. Zbl 0934.65117
Dörfler, W.
1999
An adaptive strategy for elliptic problems including a posteriori controlled boundary approximation. Zbl 0904.65105
Dörfler, W.; Rumpf, M.
1998
Adaptive finite elements for exterior domain problems. Zbl 0928.65138
Bänsch, E.; Dörfler, W.
1998
A convergent adaptive algorithm for Poisson’s equation. Zbl 0854.65090
Dörfler, Willy
1996
A time- and spaceadaptive algorithm for the linear time-dependent Schrödinger equation. Zbl 0860.65097
Dörfler, Willy
1996
A robust adaptive strategy for the nonlinear Poisson equation. Zbl 0846.65057
Dörfler, W.
1995
Hierarchical bases for elliptic problems. Zbl 0766.65088
Dörfler, W.
1992
The conditioning of the stiffness matrix for certain elements approximating the incompressibility condition in fluid dynamics. Zbl 0705.76026
Dörfler, W.
1990
On the direct product of hypergraphs. Zbl 0503.05048
Doerfler, W.
1982
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#### Cited by 805 Authors

 29 Carstensen, Carsten 29 Praetorius, Dirk 15 Nochetto, Ricardo Horacio 12 Gedicke, Joscha 10 Verani, Marco 10 Xie, Hehu 9 Gudi, Thirupathi 9 Hoppe, Ronald H. W. 9 Xu, Jinchao 8 Ainsworth, Mark 8 Chen, Long 8 Chung, Tsz Shun Eric 8 Feischl, Michael 8 Gallistl, Dietmar 8 Karkulik, Michael 8 Krause, Mathias J. 8 Stevenson, Rob P. 8 Vohralík, Martin 7 Canuto, Claudio 7 Führer, Thomas 7 Hu, Jun 7 Xu, Fei 6 Aurada, Markus 6 Brenner, Susanne Cecelia 6 Dörfler, Willy 6 Ferraz-Leite, Samuel 6 Gosse, Laurent 6 Guo, Hailong 6 Morin, Pedro 6 Ovall, Jeffrey S. 6 Schroder, Andreas 6 Shi, Zhongci 6 Zou, Qingsong 5 Agouzal, Abdellatif 5 Bank, Randolph E. 5 Berrone, Stefano 5 Bespalov, Alexei 5 Demlow, Alan 5 Erath, Christoph 5 Giannelli, Carlotta 5 Hinze, Michael 5 Huang, Qiumei 5 Langer, Ulrich 5 Liu, Huipo 5 Matculevich, Svetlana 5 Mederski, Jarosław 5 Mehrmann, Volker 5 Nguyen-Xuan, Hung 5 Park, Eun-Jae 5 Repin, Sergeĭ Igorevich 5 Stephan, Ernst Peter 5 Veeser, Andreas 5 Vejchodský, Tomáš 5 Wang, Zhoufeng 5 Wihler, Thomas Pascal 5 Xu, Yifeng 5 Yan, Ningning 5 Zhong, Liuqiang 4 Anitescu, Cosmin 4 Boffi, Daniele 4 Bürg, Markus 4 Cockburn, Bernardo 4 Efendiev, Yalchin R. 4 Gantner, Gregor 4 Haberl, Alexander 4 Hecht, Frédéric 4 Holst, Michael J. 4 Huang, Yunqing 4 Kahle, Christian 4 Kim, Kwang Yeon 4 Kornhuber, Ralf 4 Li, Xiaolin 4 Liu, Gui-Rong 4 Makridakis, Charalambos G. 4 Mao, Shipeng 4 Merdon, Christian 4 Międlar, Agnieszka 4 Mu, Lin 4 Perugia, Ilaria 4 Porwal, Kamana 4 Rabczuk, Timon 4 Sauter, Stefan A. 4 Siebert, Kunibert G. 4 Wohlmuth, Barbara I. 4 Xie, Xiaoping 4 Yang, Yidu 4 Zou, Jun 3 Achchab, Boujemaa 3 Banz, Lothar 3 Bartsch, Thomas J. 3 Beirão da Veiga, Lourenço 3 Benner, Peter 3 Bi, Hai 3 Bonito, Andrea 3 Bordas, Stéphane Pierre Alain 3 Bringmann, Philipp 3 Buffa, Annalisa 3 Cai, Zhiqiang 3 Chen, Yanping 3 Chen, Zhangxin ...and 705 more Authors
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#### Cited in 97 Serials

 50 Mathematics of Computation 48 Numerische Mathematik 45 Computer Methods in Applied Mechanics and Engineering 39 Computers & Mathematics with Applications 38 Journal of Computational and Applied Mathematics 36 Journal of Scientific Computing 30 Applied Numerical Mathematics 17 SIAM Journal on Numerical Analysis 16 SIAM Journal on Scientific Computing 14 Numerical Methods for Partial Differential Equations 13 Journal of Computational Physics 13 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 11 Applied Mathematics and Computation 9 Computers and Fluids 9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Computational Methods in Applied Mathematics 6 Computing and Visualization in Science 6 Multiscale Modeling & Simulation 6 Science China. Mathematics 5 International Journal for Numerical Methods in Engineering 5 Numerical Algorithms 5 Advances in Computational Mathematics 4 Applicable Analysis 4 Mathematical Methods in the Applied Sciences 4 BIT 4 Applied Mathematical Modelling 4 Journal of Mathematical Sciences (New York) 4 Numerical Linear Algebra with Applications 4 Engineering Analysis with Boundary Elements 4 Foundations of Computational Mathematics 4 Journal of Numerical Mathematics 3 Journal of Mathematical Analysis and Applications 3 Computing 3 Optimization Methods & Software 2 International Journal for Numerical Methods in Fluids 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Calcolo 2 Journal of Differential Equations 2 Journal of Functional Analysis 2 Numerical Functional Analysis and Optimization 2 Zeitschrift für Analysis und ihre Anwendungen 2 Computational Mechanics 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 Computational Optimization and Applications 2 ETNA. Electronic Transactions on Numerical Analysis 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 European Journal of Mechanics. B. Fluids 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 International Journal of Computational Methods 2 East Asian Journal on Applied Mathematics 2 SIAM/ASA Journal on Uncertainty Quantification 1 Archive for Rational Mechanics and Analysis 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Wave Motion 1 Acta Mathematica Vietnamica 1 Applied Mathematics and Optimization 1 Mathematics and Computers in Simulation 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Applied Mathematics Letters 1 Science in China. Series A 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Linear Algebra and its Applications 1 SIAM Review 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Dynamics and Differential Equations 1 Journal of Mathematical Imaging and Vision 1 Communications in Numerical Methods in Engineering 1 Computational and Applied Mathematics 1 Discrete and Continuous Dynamical Systems 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Mathematical Fluid Mechanics 1 European Journal of Mechanics. A. Solids 1 Acta Mathematica Sinica. English Series 1 Computational Geosciences 1 Engineering Computations 1 Archives of Computational Methods in Engineering 1 Acta Numerica 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Discrete and Continuous Dynamical Systems. Series S 1 International Journal for Numerical Methods in Biomedical Engineering 1 Afrika Matematika 1 Axioms 1 EURO Journal on Computational Optimization 1 Open Mathematics 1 AMM. Applied Mathematics and Mechanics. (English Edition) 1 SMAI Journal of Computational Mathematics 1 Electronic Research Archive
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#### Cited in 34 Fields

 507 Numerical analysis (65-XX) 247 Partial differential equations (35-XX) 92 Fluid mechanics (76-XX) 50 Mechanics of deformable solids (74-XX) 44 Optics, electromagnetic theory (78-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 14 Approximations and expansions (41-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Integral equations (45-XX) 8 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Ordinary differential equations (34-XX) 5 Probability theory and stochastic processes (60-XX) 5 Computer science (68-XX) 4 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Geophysics (86-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Real functions (26-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Statistics (62-XX) 1 Astronomy and astrophysics (85-XX)