## Vexler, Boris

Compute Distance To:
 Author ID: vexler.boris Published as: Vexler, Boris; Vexler, B.
 Documents Indexed: 79 Publications since 2003, including 1 Book 2 Contributions as Editor Co-Authors: 49 Co-Authors with 77 Joint Publications 923 Co-Co-Authors
all top 5

### Co-Authors

 4 single-authored 17 Meidner, Dominik 12 Leykekhman, Dmitriy 9 Becker, Roland 7 Rannacher, Rolf 6 Kunisch, Karl 5 Pieper, Konstantin 4 Braack, Malte 4 Trautmann, Philip 3 Kaltenbacher, Barbara 3 Kirchner, Alana 3 Neitzel, Ira 2 Behringer, Niklas 2 Benedix, Olaf 2 Bonifacius, Lucas 2 Casas, Eduardo 2 Kröner, Axel 2 Rösch, Arnd 2 Springer, Andreas 2 Walter, Daniel 2 Wollner, Winnifried 2 Zlotnik, Alexander A. 1 Amstutz, Samuel 1 Apel, Thomas 1 Besier, Michael 1 Brenner, Susanne Cecelia 1 Christof, Constantin 1 De los Reyes, Juan Carlos 1 Engel, Sebastian 1 Failer, Lukas 1 Flaig, Thomas G. 1 Griesbaum, Anke 1 Hafemeyer, Dominik 1 Herzog, Roland 1 Holtmannspötter, Marita 1 Kiniger, Bernhard 1 Mannel, Florian 1 Mateos, Mariano 1 Merino, Pedro 1 Meyer, Christian 1 Pfefferer, Johannes 1 Quaas, Martin F. 1 Richter, Thomas 1 Schürholz, Klemens 1 Sirch, Dieter 1 Takahashi, Takéo 1 Tews, Benjamin 1 Tröltzsch, Fredi 1 Ulbrich, Michael 1 Zuazua, Enrique
all top 5

### Serials

 17 SIAM Journal on Control and Optimization 9 SIAM Journal on Numerical Analysis 6 Numerische Mathematik 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Mathematical Control and Related Fields 3 Inverse Problems 3 Computational Optimization and Applications 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Control and Cybernetics 2 Journal of Optimization Theory and Applications 2 SIAM Journal on Scientific Computing 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Computational and Applied Mathematics 1 Numerical Functional Analysis and Optimization 1 Applied Numerical Mathematics 1 Optimization Methods & Software 1 Combustion Theory and Modelling 1 Optimization and Engineering 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Oberwolfach Reports 1 GAMM-Mitteilungen 1 Pure and Applied Functional Analysis
all top 5

### Fields

 71 Numerical analysis (65-XX) 52 Calculus of variations and optimal control; optimization (49-XX) 42 Partial differential equations (35-XX) 6 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 4 Systems theory; control (93-XX) 3 Operator theory (47-XX) 3 Operations research, mathematical programming (90-XX) 2 General and overarching topics; collections (00-XX) 2 Mechanics of deformable solids (74-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Real functions (26-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 1,191 times in 689 Documents Cited by Year
Optimal control of the convection-diffusion equation using stabilized finite element methods. Zbl 1133.65037
Becker, Roland; Vexler, Boris
2007
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
Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations. Zbl 1169.65098
Schmich, Michael; Vexler, Boris
2008
Adaptive finite elements for elliptic optimization problems with control constraints. Zbl 1169.65068
Vexler, B.; Wollner, W.
2008
Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087
May, S.; Rannacher, R.; Vexler, B.
2013
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
2014
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Zbl 1192.49031
Benedix, Olaf; Vexler, Boris
2009
A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems. Zbl 1245.65074
Neitzel, Ira; Vexler, Boris
2012
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
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
2014
A priori error estimates for elliptic optimal control problems with a bilinear state equation. Zbl 1178.65071
Kröner, Axel; Vexler, Boris
2009
A priori mesh grading for an elliptic problem with Dirac right-hand side. Zbl 1229.65203
Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris
2011
A posterior error estimation for finite element discretization of parameter identification problems. Zbl 1044.65080
Becker, Roland; Vexler, Boris
2004
Semismooth Newton methods for optimal control of the wave equation with control constraints. Zbl 1218.49035
Kröner, Axel; Kunisch, Karl; Vexler, Boris
2011
Efficient numerical solution of parabolic optimization problems by finite element methods. Zbl 1135.35317
Becker, Roland; Meidner, Dominik; Vexler, Boris
2007
Discrete maximal parabolic regularity for Galerkin finite element methods. Zbl 1364.65198
Leykekhman, Dmitriy; Vexler, Boris
2017
A priori error analysis for discretization of sparse elliptic optimal control problems in measure space. Zbl 1357.49121
Pieper, Konstantin; Vexler, Boris
2013
A priori error analysis of the Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems. (A-priori error analysis of the Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems.) Zbl 1234.49030
Meidner, Dominik; Vexler, Boris
2011
Constrained Dirichlet boundary control in $$L^2$$ for a class of evolution equations. Zbl 1144.49003
Kunisch, K.; Vexler, B.
2007
Optimal a priori error estimates of parabolic optimal control problems with pointwise control. Zbl 1284.49035
Leykekhman, Dmitriy; Vexler, Boris
2013
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
2016
Finite element error analysis for state-constrained optimal control of the Stokes equations. Zbl 1235.49068
de los Reyes, Juan Carlos; Meyer, Christian; Vexler, Boris
2008
Optimal control of the Stokes equations: a priori error analysis for finite element discretization with postprocessing. Zbl 1140.49015
Rösch, Arnd; Vexler, Boris
2006
A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. Zbl 1113.65102
Rannacher, R.; Vexler, B.
2006
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
2015
Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations. Zbl 1082.65130
Becker, Roland; Vexler, Boris
2005
Finite element pointwise results on convex polyhedral domains. Zbl 1335.65093
Leykekhman, Dmitriy; Vexler, Boris
2016
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems. Zbl 1382.65319
Leykekhman, Dmitriy; Vexler, Boris
2016
Finite element approximation of elliptic Dirichlet optimal control problems. Zbl 1148.65051
Vexler, B.
2007
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. Zbl 1191.65076
Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris
2010
Optimal vortex reduction for instationary flows based on translation invariant cost functionals. Zbl 1159.35398
Kunisch, K.; Vexler, B.
2007
Topological sensitivity analysis for time-dependent problems. Zbl 1357.49146
Amstutz, Samuel; Takahashi, Takéo; Vexler, Boris
2008
$$hp$$-finite elements for fractional diffusion. Zbl 1397.65282
Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris
2018
Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Zbl 1268.65138
Richter, Thomas; Springer, Andreas; Vexler, Boris
2013
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
Adaptive finite element methods for PDE-constrained optimal control problems. Zbl 1398.76196
Becker, R.; Braack, M.; Meidner, D.; Rannacher, R.; Vexler, B.
2007
Parameter identification for chemical models in combustion problems. Zbl 1066.80006
Becker, R.; Braack, M.; Vexler, B.
2005
A priori error estimates for three dimensional parabolic optimal control problems with pointwise control. Zbl 1355.49026
Leykekhman, Dmitriy; Vexler, Boris
2016
Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Zbl 1151.65052
Griesbaum, Anke; Kaltenbacher, Barbara; Vexler, Boris
2008
Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Zbl 1231.35306
Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris
2011
A priori error estimates for finite element discretizations of a shape optimization problem. Zbl 1283.49051
Kiniger, Bernhard; Vexler, Boris
2013
Adaptive finite element methods for parameter identification problems. Zbl 1060.65121
Vexler, Boris
2004
Numerical parameter estimation for chemical models in multidimensional reactive flows. Zbl 1068.80533
Becker, R.; Braack, M.; Vexler, B.
2004
Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. Zbl 1412.65152
Meidner, Dominik; Vexler, Boris
2018
Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization. Zbl 1354.65133
Griesse, Roland; Vexler, Boris
2007
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. Zbl 1304.65154
Kaltenbacher, B.; Kirchner, A.; Vexler, B.
2014
Third order convergent time discretization for parabolic optimal control problems with control constraints. Zbl 1283.49033
Springer, Andreas; Vexler, Boris
2014
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Zbl 1423.35452
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel
2019
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
2018
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
Optimal control of a linear unsteady fluid-structure interaction problem. Zbl 1346.35033
Failer, Lukas; Meidner, Dominik; Vexler, Boris
2016
A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1157.65405
May, S.; Rannacher, R.; Vexler, B.
2008
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
2010
Optimization of fishing strategies in space and time as a non-convex optimal control problem. Zbl 1409.49018
Braack, Malte; Quaas, Martin F.; Tews, Benjamin; Vexler, Boris
2018
Discrete maximal parabolic regularity for Galerkin finite element methods for nonautonomous parabolic problems. Zbl 1402.65113
Leykekhman, Dmitriy; Vexler, Boris
2018
Numerical analysis of sparse initial data identification for parabolic problems. Zbl 1446.65114
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel
2020
Error estimates for Space-time discretization of parabolic time-optimal control problems with bang-bang controls. Zbl 1420.49024
Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris
2019
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. Zbl 1440.65180
Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris
2020
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. Zbl 1473.35609
Christof, Constantin; Vexler, Boris
2021
Adaptive finite element methods for parameter identification problems. Zbl 1269.65119
Vexler, Boris
2013
A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems. Zbl 1408.49017
Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris
2019
Global and interior pointwise best approximation results for the gradient of Galerkin solutions for parabolic problems. Zbl 1372.65258
Leykekhman, Dmitriy; Vexler, Boris
2017
Finite element error estimates for optimal control problems with pointwise tracking. Zbl 1458.49026
Behringer, Niklas; Meidner, Dominik; Vexler, Boris
2019
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. Zbl 1472.49058
Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris
2021
Trust region methods with hierarchical finite element models for PDE-constrained optimization. Zbl 1318.49051
Kirchner, Alana; Meidner, Dominik; Vexler, Boris
2011
New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. Zbl 1473.35609
Christof, Constantin; Vexler, Boris
2021
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. Zbl 1472.49058
Holtmannspötter, Marita; Rösch, Arnd; Vexler, Boris
2021
Numerical analysis of sparse initial data identification for parabolic problems. Zbl 1446.65114
Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel
2020
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. Zbl 1440.65180
Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris
2020
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Zbl 1423.35452
Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel
2019
Error estimates for Space-time discretization of parabolic time-optimal control problems with bang-bang controls. Zbl 1420.49024
Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris
2019
A priori error estimates for space-time finite element discretization of parabolic time-optimal control problems. Zbl 1408.49017
Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris
2019
Finite element error estimates for optimal control problems with pointwise tracking. Zbl 1458.49026
Behringer, Niklas; Meidner, Dominik; Vexler, Boris
2019
$$hp$$-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
Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Zbl 1407.65203
Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander
2018
Optimization of fishing strategies in space and time as a non-convex optimal control problem. Zbl 1409.49018
Braack, Malte; Quaas, Martin F.; Tews, Benjamin; Vexler, Boris
2018
Discrete maximal parabolic regularity for Galerkin finite element methods for nonautonomous parabolic problems. Zbl 1402.65113
Leykekhman, Dmitriy; Vexler, Boris
2018
Discrete maximal parabolic regularity for Galerkin finite element methods. Zbl 1364.65198
Leykekhman, Dmitriy; Vexler, Boris
2017
Global and interior pointwise best approximation results for the gradient of Galerkin solutions for parabolic problems. Zbl 1372.65258
Leykekhman, Dmitriy; Vexler, Boris
2017
Optimal control of the undamped linear wave equation with measure valued controls. Zbl 1343.35239
Kunisch, Karl; Trautmann, Philip; Vexler, Boris
2016
Finite element pointwise results on convex polyhedral domains. Zbl 1335.65093
Leykekhman, Dmitriy; Vexler, Boris
2016
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems. Zbl 1382.65319
Leykekhman, Dmitriy; Vexler, Boris
2016
A priori error estimates for three dimensional parabolic optimal control problems with pointwise control. Zbl 1355.49026
Leykekhman, Dmitriy; Vexler, Boris
2016
Optimal control of a linear unsteady fluid-structure interaction problem. Zbl 1346.35033
Failer, Lukas; Meidner, Dominik; Vexler, Boris
2016
Sparse initial data identification for parabolic PDE and its finite element approximations. Zbl 1327.35131
Casas, Eduardo; Vexler, Boris; Zuazua, Enrique
2015
Measure valued directional sparsity for parabolic optimal control problems. Zbl 1326.49035
Kunisch, Karl; Pieper, Konstantin; Vexler, Boris
2014
New regularity results and improved error estimates for optimal control problems with state constraints. Zbl 1293.49044
Casas, Eduardo; Mateos, Mariano; Vexler, Boris
2014
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs. II: All-at-once formulations. Zbl 1304.65154
Kaltenbacher, B.; Kirchner, A.; Vexler, B.
2014
Third order convergent time discretization for parabolic optimal control problems with control constraints. Zbl 1283.49033
Springer, Andreas; Vexler, Boris
2014
Error analysis for a finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1273.65087
May, S.; Rannacher, R.; Vexler, B.
2013
A priori error analysis for discretization of sparse elliptic optimal control problems in measure space. Zbl 1357.49121
Pieper, Konstantin; Vexler, Boris
2013
Optimal a priori error estimates of parabolic optimal control problems with pointwise control. Zbl 1284.49035
Leykekhman, Dmitriy; Vexler, Boris
2013
Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Zbl 1268.65138
Richter, Thomas; Springer, Andreas; Vexler, Boris
2013
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 a shape optimization problem. Zbl 1283.49051
Kiniger, Bernhard; Vexler, Boris
2013
Adaptive finite element methods for parameter identification problems. Zbl 1269.65119
Vexler, Boris
2013
A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems. Zbl 1245.65074
Neitzel, Ira; Vexler, Boris
2012
A posteriori error estimation in PDE-constrained optimization with pointwise inequality constraints. Zbl 1356.49052
Rannacher, Rolf; Vexler, Boris; Wollner, Winnifried
2012
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 mesh grading for an elliptic problem with Dirac right-hand side. Zbl 1229.65203
Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris
2011
Semismooth Newton methods for optimal control of the wave equation with control constraints. Zbl 1218.49035
Kröner, Axel; Kunisch, Karl; Vexler, Boris
2011
A priori error analysis of the Petrov-Galerkin Crank-Nicolson scheme for parabolic optimal control problems. (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 discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Zbl 1231.35306
Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris
2011
Trust region methods with hierarchical finite element models for PDE-constrained optimization. Zbl 1318.49051
Kirchner, Alana; Meidner, Dominik; Vexler, Boris
2011
Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. Zbl 1191.65076
Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris
2010
Adaptive finite element discretization in PDE-based optimization. Zbl 1207.49023
Rannacher, Rolf; Vexler, Boris
2010
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Zbl 1192.49031
Benedix, Olaf; Vexler, Boris
2009
A priori error estimates for elliptic optimal control problems with a bilinear state equation. Zbl 1178.65071
Kröner, Axel; Vexler, Boris
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
Adaptivity with dynamic meshes for space-time finite element discretizations of parabolic equations. Zbl 1169.65098
Schmich, Michael; Vexler, Boris
2008
Adaptive finite elements for elliptic optimization problems with control constraints. Zbl 1169.65068
Vexler, B.; Wollner, W.
2008
Finite element error analysis for state-constrained optimal control of the Stokes equations. Zbl 1235.49068
de los Reyes, Juan Carlos; Meyer, Christian; Vexler, Boris
2008
Topological sensitivity analysis for time-dependent problems. Zbl 1357.49146
Amstutz, Samuel; Takahashi, Takéo; Vexler, Boris
2008
Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Zbl 1151.65052
Griesbaum, Anke; Kaltenbacher, Barbara; Vexler, Boris
2008
A priori error analysis for the finite element approximation of elliptic Dirichlet boundary control problems. Zbl 1157.65405
May, S.; Rannacher, R.; Vexler, B.
2008
Optimal control of the convection-diffusion equation using stabilized finite element methods. Zbl 1133.65037
Becker, Roland; Vexler, Boris
2007
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
Constrained Dirichlet boundary control in $$L^2$$ for a class of evolution equations. Zbl 1144.49003
Kunisch, K.; Vexler, B.
2007
Finite element approximation of elliptic Dirichlet optimal control problems. Zbl 1148.65051
Vexler, B.
2007
Optimal vortex reduction for instationary flows based on translation invariant cost functionals. Zbl 1159.35398
Kunisch, K.; Vexler, B.
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
Numerical sensitivity analysis for the quantity of interest in PDE-constrained optimization. Zbl 1354.65133
Griesse, Roland; Vexler, Boris
2007
Optimal control of the Stokes equations: a priori error analysis for finite element discretization with postprocessing. Zbl 1140.49015
Rösch, Arnd; Vexler, Boris
2006
A priori error estimates for the finite element discretization of elliptic parameter identification problems with pointwise measurements. Zbl 1113.65102
Rannacher, R.; Vexler, B.
2006
Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations. Zbl 1082.65130
Becker, Roland; Vexler, Boris
2005
Parameter identification for chemical models in combustion problems. Zbl 1066.80006
Becker, R.; Braack, M.; Vexler, B.
2005
A posterior error estimation for finite element discretization of parameter identification problems. Zbl 1044.65080
Becker, Roland; Vexler, Boris
2004
Adaptive finite element methods for parameter identification problems. Zbl 1060.65121
Vexler, Boris
2004
Numerical parameter estimation for chemical models in multidimensional reactive flows. Zbl 1068.80533
Becker, R.; Braack, M.; Vexler, B.
2004
all top 5

### Cited by 871 Authors

 38 Vexler, Boris 28 Casas, Eduardo 27 Kunisch, Karl 18 Chen, Yanping 16 Otárola, Enrique 15 Mateos, Mariano 15 Rösch, Arnd 15 Wollner, Winnifried 15 Zhou, Zhaojie 14 Hinze, Michael 14 Leykekhman, Dmitriy 14 Neitzel, Ira 13 Tröltzsch, Fredi 12 Gong, Wei 12 Li, Buyang 11 Yan, Ningning 10 Brenner, Susanne Cecelia 10 Chrysafinos, Konstantinos 10 Hou, Tianliang 9 Salgado, Abner J. 9 Sinha, Rajen Kumar 8 Antil, Harbir 8 Fu, Hongfei 8 Huang, Yunqing 8 Meidner, Dominik 8 Pfefferer, Johannes 8 Tang, Yuelong 8 Zhang, Yangwen 7 Allendes, Alejandro 7 Apel, Thomas 7 Becker, Roland 7 Kaltenbacher, Barbara 7 Singler, John R. 7 Steinbach, Olaf 7 Yücel, Hamdullah 6 Braack, Malte 6 Burman, Erik 6 Clason, Christian 6 Gudi, Thirupathi 6 Herzog, Roland 6 Hua, Yuchun 6 Meyer, Christian 6 Nicaise, Serge 6 Pieper, Konstantin 6 Rankin, Richard 6 Rannacher, Rolf 6 Ulbrich, Michael 6 Wachsmuth, Daniel 6 Wachsmuth, Gerd 6 Wick, Thomas 5 Borzì, Alfio 5 Fidkowski, Krzysztof J. 5 Hernández, Erwin 5 Hintermüller, Michael 5 Hu, Weiwei 5 Kahle, Christian 5 Karasözen, Bülent 5 Kröner, Axel 5 Kumar, Sarvesh 5 Leng, Haitao 5 Lu, Zuliang 5 Rui, Hongxing 5 Shakya, Pratibha 5 Trautmann, Philip 5 Ulbrich, Stefan 5 Winkler, Max 5 Yang, Danping 4 Carraro, Thomas 4 Chen, Gang 4 Christof, Constantin 4 Fuica, Francisco 4 Günther, Andreas 4 Hassine, Maatoug 4 Huang, Fenglin 4 Langer, Ulrich 4 Lin, Xiuxiu 4 Liu, Steve Wenbin 4 Lube, Gert 4 Mahnken, Rolf 4 Manohar, Ram P. 4 Manzoni, Andrea 4 Merino, Pedro 4 Oksanen, Lauri 4 Richter, Thomas 4 Sandilya, Ruchi 4 Schiela, Anton 4 van der Zee, Kristoffer George 4 Verani, Marco 4 Walter, Daniel 4 Wohlmuth, Barbara I. 4 Zhang, Zhiyue 4 Zlotnik, Alexander A. 4 Zuazua, Enrique 3 Akman, Tuğba 3 Alexanderian, Alen 3 Benner, Peter 3 Bonifacius, Lucas 3 Bui-Thanh, Tan 3 Chowdhury, Sudipto Paul 3 Failer, Lukas ...and 771 more Authors
all top 5

### Cited in 140 Serials

 40 Computational Optimization and Applications 32 SIAM Journal on Control and Optimization 31 Numerische Mathematik 30 Journal of Computational and Applied Mathematics 29 SIAM Journal on Numerical Analysis 26 Computers & Mathematics with Applications 24 Journal of Scientific Computing 22 Computer Methods in Applied Mechanics and Engineering 20 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 18 Applied Numerical Mathematics 18 SIAM Journal on Scientific Computing 17 Mathematical Control and Related Fields 15 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 14 Journal of Computational Physics 14 Mathematics of Computation 11 Journal of Mathematical Analysis and Applications 11 Journal of Optimization Theory and Applications 11 Numerical Functional Analysis and Optimization 10 Numerical Methods for Partial Differential Equations 9 Applied Mathematics and Computation 8 Applicable Analysis 8 Inverse Problems 7 Applied Mathematics and Optimization 7 International Journal for Numerical Methods in Engineering 7 Computational Mechanics 7 SIAM Journal on Optimization 6 Computers and Fluids 6 Journal of Numerical Mathematics 5 Mathematics and Computers in Simulation 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Numerical Algorithms 5 Advances in Computational Mathematics 5 Optimization Methods & Software 5 Journal of Inequalities and Applications 5 International Journal of Numerical Analysis and Modeling 4 Mathematical Methods in the Applied Sciences 4 BIT 4 Calcolo 4 Optimization 4 International Journal of Computer Mathematics 4 GAMM-Mitteilungen 4 Advances in Applied Mathematics and Mechanics 3 Systems & Control Letters 3 Applied Mathematical Modelling 3 Vietnam Journal of Mathematics 3 Optimization and Engineering 3 Foundations of Computational Mathematics 3 Computational Methods in Applied Mathematics 3 Frontiers of Mathematics in China 3 Inverse Problems and Imaging 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Automatica 2 Optimal Control Applications & Methods 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 SIAM Review 2 Mathematical Programming. Series A. Series B 2 Calculus of Variations and Partial Differential Equations 2 Annales Mathématiques Blaise Pascal 2 Journal of Inverse and Ill-Posed Problems 2 ETNA. Electronic Transactions on Numerical Analysis 2 Discrete and Continuous Dynamical Systems 2 Mathematical Problems in Engineering 2 Computing and Visualization in Science 2 Fractional Calculus & Applied Analysis 2 Lobachevskii Journal of Mathematics 2 Mathematical Modelling and Analysis 2 Journal of Systems Science and Complexity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Acta Numerica 2 Oberwolfach Reports 2 Boundary Value Problems 2 Inverse Problems in Science and Engineering 2 Mathematical Modelling of Natural Phenomena 2 Science China. Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Mathematics in Engineering 2 Results in Applied Mathematics 1 Archive for Rational Mechanics and Analysis 1 Computer Physics Communications 1 International Journal of Control 1 International Journal for Numerical Methods in Fluids 1 Journal of Fluid Mechanics 1 Mathematical Biosciences 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Journal of Differential Equations 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Bulletin of the Iranian Mathematical Society 1 Asymptotic Analysis 1 Journal of Integral Equations and Applications 1 Computational Mathematics and Modeling 1 Multidimensional Systems and Signal Processing 1 Journal of Global Optimization 1 Indagationes Mathematicae. New Series 1 Journal of Mathematical Imaging and Vision 1 The Journal of Analysis ...and 40 more Serials
all top 5

### Cited in 34 Fields

 496 Numerical analysis (65-XX) 413 Calculus of variations and optimal control; optimization (49-XX) 287 Partial differential equations (35-XX) 86 Fluid mechanics (76-XX) 51 Operations research, mathematical programming (90-XX) 48 Mechanics of deformable solids (74-XX) 42 Systems theory; control (93-XX) 21 Biology and other natural sciences (92-XX) 16 Classical thermodynamics, heat transfer (80-XX) 11 Statistics (62-XX) 9 Operator theory (47-XX) 9 Probability theory and stochastic processes (60-XX) 8 Real functions (26-XX) 7 Optics, electromagnetic theory (78-XX) 6 Functional analysis (46-XX) 6 Computer science (68-XX) 5 Ordinary differential equations (34-XX) 5 Approximations and expansions (41-XX) 5 Integral equations (45-XX) 5 Information and communication theory, circuits (94-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Geophysics (86-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Potential theory (31-XX) 2 Difference and functional equations (39-XX) 2 Quantum theory (81-XX) 1 Combinatorics (05-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Differential geometry (53-XX) 1 Mechanics of particles and systems (70-XX)