zbMATH — the first resource for mathematics

Meidner, Dominik

Compute Distance To:
 Author ID: meidner.dominik Published as: Meidner, D.; Meidner, Dominik External Links: MGP · ORCID · dblp
 Documents Indexed: 21 Publications since 2007, including 1 Book
all top 5

Co-Authors

 1 single-authored 17 Vexler, Boris 3 Rannacher, Rolf 2 Becker, Roland 2 Richter, Thomas 1 Behringer, Niklas 1 Braack, Malte 1 Failer, Lukas 1 Flaig, Thomas G. 1 Kirchner, Alana 1 Leykekhman, Dmitriy 1 Pfefferer, Johannes 1 Schürholz, Klemens 1 Vihharev, Jevgeni
all top 5

Serials

 5 SIAM Journal on Control and Optimization 1 Computer Methods in Applied Mechanics and Engineering 1 Control and Cybernetics 1 Journal of Optimization Theory and Applications 1 SIAM Journal on Numerical Analysis 1 Computational Optimization and Applications 1 Optimization Methods & Software 1 Computational Methods in Applied Mathematics 1 Journal of Numerical Mathematics 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Pure and Applied Functional Analysis
all top 5

Fields

 19 Numerical analysis (65-XX) 15 Calculus of variations and optimal control; optimization (49-XX) 12 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 2 Mechanics of deformable solids (74-XX) 2 Systems theory; control (93-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)

Citations contained in zbMATH Open

16 Publications have been cited 301 times in 191 Documents Cited by Year
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. II: Problems with control constraints. Zbl 1161.49035
Meidner, Dominik; Vexler, Boris
2008
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. I: Problems without control constraints. Zbl 1161.49026
Meidner, Dominik; Vexler, Boris
2008
Adaptive space-time finite element methods for parabolic optimization problems. Zbl 1149.65051
Meidner, Dominik; Vexler, Boris
2007
A priori error estimates for finite element discretizations of parabolic optimization problems with pointwise state constraints in time. Zbl 1234.49029
Meidner, Dominik; Rannacher, Rolf; Vexler, Boris
2011
Efficient numerical solution of parabolic optimization problems by finite element methods. Zbl 1135.35317
Becker, Roland; Meidner, Dominik; Vexler, Boris
2007
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
2009
A priori error analysis of the Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems. Zbl 1234.49030
Meidner, Dominik; Vexler, Boris
2011
Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196
Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B.
2007
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Zbl 1272.49049
Leykekhman, Dmitriy; Meidner, Dominik; Vexler, Boris
2013
$$hp$$-finite elements for fractional diffusion. Zbl 1397.65282
Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris
2018
Goal-oriented error estimation for the fractional step theta scheme. Zbl 1284.65135
Meidner, Dominik; Richter, Thomas
2014
Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. Zbl 1412.65152
Meidner, Dominik; Vexler, Boris
2018
Adaptive space-time finite element methods for optimization problems governed by nonlinear parabolic systems. Zbl 1140.65300
Meidner, Dominik
2008
Optimal control of a linear unsteady fluid-structure interaction problem. Zbl 1346.35033
Failer, Lukas; Meidner, Dominik; Vexler, Boris
2016
A posteriori error estimation for the fractional step theta discretization of the incompressible Navier-Stokes equations. Zbl 1423.76260
Meidner, Dominik; Richter, Thomas
2015
A priori error analysis for space-time finite element discretization of parabolic optimal control problems. Zbl 1157.65406
Meidner, D.; Vexler, B.
2008
$$hp$$-finite elements for fractional diffusion. Zbl 1397.65282
Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris
2018
Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. Zbl 1412.65152
Meidner, Dominik; Vexler, Boris
2018
Optimal control of a linear unsteady fluid-structure interaction problem. Zbl 1346.35033
Failer, Lukas; Meidner, Dominik; Vexler, Boris
2016
A posteriori error estimation for the fractional step theta discretization of the incompressible Navier-Stokes equations. Zbl 1423.76260
Meidner, Dominik; Richter, Thomas
2015
Goal-oriented error estimation for the fractional step theta scheme. Zbl 1284.65135
Meidner, Dominik; Richter, Thomas
2014
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Zbl 1272.49049
Leykekhman, Dmitriy; Meidner, Dominik; Vexler, Boris
2013
A priori error estimates for finite element discretizations of parabolic optimization problems with pointwise state constraints in time. Zbl 1234.49029
Meidner, Dominik; Rannacher, Rolf; Vexler, Boris
2011
A priori error analysis of the Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems. Zbl 1234.49030
Meidner, Dominik; Vexler, Boris
2011
Goal-oriented error control of the iterative solution of finite element equations. Zbl 1169.65340
Meidner, D.; Rannacher, R.; Vihharev, J.
2009
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. II: Problems with control constraints. Zbl 1161.49035
Meidner, Dominik; Vexler, Boris
2008
A priori error estimates for space-time finite element discretization of parabolic optimal control problems. I: Problems without control constraints. Zbl 1161.49026
Meidner, Dominik; Vexler, Boris
2008
Adaptive space-time finite element methods for optimization problems governed by nonlinear parabolic systems. Zbl 1140.65300
Meidner, Dominik
2008
A priori error analysis for space-time finite element discretization of parabolic optimal control problems. Zbl 1157.65406
Meidner, D.; Vexler, B.
2008
Adaptive space-time finite element methods for parabolic optimization problems. Zbl 1149.65051
Meidner, Dominik; Vexler, Boris
2007
Efficient numerical solution of parabolic optimization problems by finite element methods. Zbl 1135.35317
Becker, Roland; Meidner, Dominik; Vexler, Boris
2007
Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196
Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B.
2007
all top 5

Cited by 291 Authors

 20 Vexler, Boris 11 Chen, Yanping 9 Hou, Tianliang 9 Wollner, Winnifried 8 Casas, Eduardo 8 Vohralík, Martin 7 Chrysafinos, Konstantinos 7 Leykekhman, Dmitriy 7 Wick, Thomas 6 Huang, Yunqing 6 Neitzel, Ira 6 Otárola, Enrique 5 Gong, Wei 5 Hinze, Michael 5 Langer, Ulrich 5 Mateos, Mariano 4 Antil, Harbir 4 Fu, Hongfei 4 Kunisch, Karl 4 Meidner, Dominik 4 Rösch, Arnd 4 Salgado, Abner J. 4 Sinha, Rajen Kumar 4 Tang, Yuelong 3 Akman, Tuğba 3 Carraro, Thomas 3 Endtmayer, Bernhard 3 Fidkowski, Krzysztof J. 3 Hua, Yuchun 3 Huang, Fenglin 3 Karasözen, Bülent 3 Larsson, Stig 3 Lin, Xiuxiu 3 Pieper, Konstantin 3 Rannacher, Rolf 3 Richter, Thomas 3 Rui, Hongxing 3 Shakya, Pratibha 3 Tröltzsch, Fredi 2 Allendes, Alejandro 2 Bertoluzza, Silvia 2 Bonifacius, Lucas 2 Borzì, Alfio 2 Decoene, Astrid 2 Dolejší, Vít 2 Failer, Lukas 2 Gosselet, Pierre 2 Gupta, Nupur 2 Hassan, Sarah Ali 2 Hofreither, Clemens 2 Japhet, Caroline 2 Johansson, Håkan 2 Lacouture, Loïc 2 Lang, Jens 2 Larsson, Fredrik 2 Li, Buyang 2 Liu, Jun 2 Ludovici, Francesco 2 Luo, Xianbing 2 Martin, Sébastien 2 Nataraj, Neela 2 Papež, Jan 2 Rankin, Richard 2 Rey, Christian A. 2 Rey, Valentine 2 Richter, Thomas Michael 2 Runesson, Kenneth 2 Schillings, Claudia 2 Schulz, Volker H. 2 Springer, Andreas 2 Steinbach, Olaf 2 Teymurov, Rafig Agadjan 2 Ulbrich, Stefan 2 Xiao, Mingqing 2 Yan, Ningning 2 Yang, Danping 2 Yang, Huidong 2 Yousef, Soleiman 2 Zhang, Zhiyue 2 Zhou, Jianwei 2 Zhou, Zhaojie 1 Abbeloos, Dirk 1 Akman Yıldız, Tuğba 1 Amirfakhrian, Majid 1 Anciaux-Sedrakian, A. 1 Apel, Thomas 1 Arioli, Mario 1 Azizi, Masoomeh 1 Azmi, Behzad 1 Banjai, Lehel 1 Becker, Robin 1 Beckers, Susanne 1 Behrens, Jorn 1 Ben Gharbia, Ibtihel 1 Benedix, Olaf 1 Boucher, Randy 1 Boulanger, Anne-Céline 1 Braack, Malte 1 Brandenburg, Christian 1 Bui-Thanh, Tan ...and 191 more Authors
all top 5

Cited in 62 Serials

 13 Journal of Computational and Applied Mathematics 12 SIAM Journal on Control and Optimization 11 Computational Optimization and Applications 9 Computers & Mathematics with Applications 9 SIAM Journal on Numerical Analysis 9 Journal of Scientific Computing 8 Computer Methods in Applied Mechanics and Engineering 8 Numerische Mathematik 8 Applied Numerical Mathematics 6 Journal of Computational Physics 5 Journal of Optimization Theory and Applications 5 SIAM Journal on Scientific Computing 4 Mathematics of Computation 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 3 Applied Mathematics and Computation 3 BIT 3 Numerical Functional Analysis and Optimization 3 Journal of Numerical Mathematics 3 GAMM-Mitteilungen 2 Applicable Analysis 2 Computers and Fluids 2 Calcolo 2 International Journal for Numerical Methods in Engineering 2 Numerical Methods for Partial Differential Equations 2 Computing and Visualization in Science 2 Foundations of Computational Mathematics 2 Frontiers of Mathematics in China 1 International Journal of Control 1 Journal of Mathematical Analysis and Applications 1 Ukrainian Mathematical Journal 1 Chaos, Solitons and Fractals 1 Mathematics and Computers in Simulation 1 Optimal Control Applications & Methods 1 Systems & Control Letters 1 Acta Mathematicae Applicatae Sinica. English Series 1 Optimization 1 Computational Mechanics 1 Computational Mathematics and Modeling 1 Journal of Global Optimization 1 Numerical Algorithms 1 International Journal of Computer Mathematics 1 SIAM Journal on Mathematical Analysis 1 ETNA. Electronic Transactions on Numerical Analysis 1 Advances in Computational Mathematics 1 Discrete and Continuous Dynamical Systems 1 European Journal of Control 1 Nonlinear Dynamics 1 Vietnam Journal of Mathematics 1 Journal of Inequalities and Applications 1 Fractional Calculus & Applied Analysis 1 Journal of Mathematical Fluid Mechanics 1 Computational Geosciences 1 Lobachevskii Journal of Mathematics 1 The ANZIAM Journal 1 Journal of Systems Science and Complexity 1 Computational Methods in Applied Mathematics 1 JMMA. Journal of Mathematical Modelling and Algorithms 1 Discrete and Continuous Dynamical Systems. Series S 1 Science China. Mathematics 1 International Journal for Numerical Methods in Biomedical Engineering 1 Mathematical Control and Related Fields 1 ISRN Applied Mathematics
all top 5

Cited in 25 Fields

 152 Numerical analysis (65-XX) 116 Calculus of variations and optimal control; optimization (49-XX) 79 Partial differential equations (35-XX) 26 Fluid mechanics (76-XX) 14 Mechanics of deformable solids (74-XX) 9 Systems theory; control (93-XX) 6 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Real functions (26-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Optics, electromagnetic theory (78-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Potential theory (31-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Operator theory (47-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)