Prof. Dr. Boris Vexler


Picture of Boris Vexler

Technical University of Munich

Chair of Optimal Control (Prof. Vexler)

A list of previous courses can be found on TUMonline.

2024

  • Leykekhman, Dmitriy; Vexler, Boris; Wagner, Jakob: A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. , 2024 more… BibTeX Full text ( DOI )
  • Pfefferer, Johannes; Vexler, Boris: Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. , 2024 more… BibTeX Full text ( DOI )
  • Pfefferer, Johannes; Vexler, Boris: Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains. , 2024 more… BibTeX Full text ( DOI )
  • Vexler, Boris; Wagner, Jakob: Error estimates for finite element discretizations of the instationary Navier-Stokes equations. ESAIM: Mathematical Modelling and Numerical Analysis, 2024 more… BibTeX Full text ( DOI )

2023

  • Leykekhman, Dmitriy; Vexler, Boris: \(L^2(I;H^1(\Omega )^d)\) and \(L^2(I;L^2(\Omega )^d)\) best approximation type error estimates for Galerkin solutions of transient Stokes problems. Calcolo 61 (1), 2023 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris; Wagner, Jakob: Fully discrete pointwise smoothing error estimates for measure valued initial data. ESAIM: Mathematical Modelling and Numerical Analysis 57 (5), 2023, 3091-3111 more… BibTeX Full text ( DOI )

2022

  • Behringer, Niklas; Vexler, Boris; Leykekhman, Dmitriy: Fully discrete best-approximation-type estimates in \(L^\infty(I;L^2(\Omega)^d)\) for finite element discretizations of the transient Stokes equations. IMA Journal of Numerical Analysis 43 (2), 2022, 852-880 more… BibTeX Full text ( DOI )

2021

  • Christof, Constantin; Vexler, Boris: New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. ESAIM: Control, Optimisation and Calculus of Variations 27, 2021, 4 more… BibTeX Full text ( DOI )

2020

  • Behringer, Niklas; Leykekhman, Dmitriy; Vexler, Boris: Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. SIAM Journal on Numerical Analysis 58 (3), 2020, 1531-1555 more… BibTeX Full text ( DOI )
  • Engel, Sebastian; Vexler, Boris; Trautmann, Philip: Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation. IMA Journal of Numerical Analysis 41 (4), 2020, 2639-2667 more… BibTeX Full text ( DOI )
  • Hafemeyer, Dominik; Mannel, Florian; Neitzel, Ira; Vexler, Boris: Finite element error estimates for one-dimensional elliptic optimal control by BV-functions. Mathematical Control & Related Fields 10 (2), 2020, 333-363 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris; Walter, Daniel: Numerical analysis of sparse initial data identification for parabolic problems. ESAIM: Mathematical Modelling and Numerical Analysis 54 (4), 2020, 1139-1180 more… BibTeX Full text ( DOI )

2019

  • Behringer, Niklas; Meidner, Dominik; Vexler, Boris: Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking. Pure and Applied Functional Analysis 4 (2), 2019, 177-204 more… BibTeX
  • Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems. SIAM Journal on Control and Optimization 57 (1), 2019, 129-162 more… BibTeX Full text ( DOI )
  • Bonifacius, Lucas; Pieper, Konstantin; Vexler, Boris: Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls. SIAM Journal on Control and Optimization 57 (3), 2019, 1730-1756 more… BibTeX Full text ( DOI )
  • Neitzel, Ira; Pieper, Konstantin; Vexler, Boris; Walter, Daniel: A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Numerische Mathematik 143 (4), 2019, 943-984 more… BibTeX Full text ( DOI )

2018

  • Braack, Malte; Quaas, Martin F.; Tews, Benjamin; Vexler, Boris: Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem. Journal of Optimization Theory and Applications 178 (3), 2018, 950-972 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM Journal on Numerical Analysis 56 (4), 2018, 2178-2202 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Pfefferer, Johannes; Schürholz, Klemens; Vexler, Boris: hp-Finite Elements for Fractional Diffusion. SIAM Journal on Numerical Analysis 56 (4), 2018, 2345-2374 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations. ESAIM: Mathematical Modelling and Numerical Analysis 52 (6), 2018, 2307-2325 more… BibTeX Full text ( DOI )
  • Trautmann, Philip; Vexler, Boris; Zlotnik, Alexander: Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients. Mathematical Control & Related Fields 8 (2), 2018, 411-449 more… BibTeX Full text ( DOI )

2017

  • Leykekhman, Dmitriy; Vexler, Boris: Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control. In: Springer INdAM Series. Springer International Publishing, 2017 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM Journal on Numerical Analysis 55 (4), 2017, 2025-2049 more… BibTeX Full text ( DOI )

2016

  • Failer, Lukas; Meidner, Dominik; Vexler, Boris: Optimal Control of a Linear Unsteady Fluid–Structure Interaction Problem. Journal of Optimization Theory and Applications 170 (1), 2016, 1-27 more… BibTeX Full text ( DOI )
  • Kunisch, Karl; Trautmann, Philip; Vexler, Boris: Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls. SIAM Journal on Control and Optimization 54 (3), 2016, 1212-1244 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3), 2016, 923-952 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM Journal on Numerical Analysis 54 (2), 2016, 561-587 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Control and Optimization 54 (5), 2016, 2403-2435 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM Journal on Numerical Analysis 54 (3), 2016, 1365-1384 more… BibTeX Full text ( DOI )

2015

  • Casas, Eduardo; Vexler, Boris; Zuazua, Enrique: Sparse initial data identification for parabolic PDE and its finite element approximations. Mathematical Control & Related Fields 5 (3), 2015, 377-399 more… BibTeX Full text ( DOI )

2014

  • Casas, Eduardo; Mateos, Mariano; Vexler, Boris: New regularity results and improved error estimates for optimal control problems with state constraints. ESAIM: Control, Optimisation and Calculus of Variations 20 (3), 2014, 803-822 more… BibTeX Full text ( DOI )
  • Flaig, Thomas G.; Meidner, Dominik; Vexler, Boris: Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems on Nonsmooth Domains. In: International Series of Numerical Mathematics. Springer International Publishing, 2014 more… BibTeX Full text ( DOI )
  • Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris: Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations. Inverse Problems 30 (4), 2014, 045002 more… BibTeX Full text ( DOI )
  • Kunisch, Karl; Pieper, Konstantin; Vexler, Boris: Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 52 (5), 2014, 3078-3108 more… BibTeX Full text ( DOI )

2013

  • Kiniger, Bernhard; Vexler, Boris: <i>A priori</i>error estimates for finite element discretizations of a shape optimization problem. ESAIM: Mathematical Modelling and Numerical Analysis 47 (6), 2013, 1733-1763 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Meidner, Dominik; Vexler, Boris: Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Computational Optimization and Applications 55 (3), 2013, 769-802 more… BibTeX Full text ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM Journal on Numerical Analysis 51 (5), 2013, 2797-2821 more… BibTeX Full text ( DOI )
  • May, S.; Rannacher, R.; Vexler, B.: Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems. SIAM Journal on Control and Optimization 51 (3), 2013, 2585-2611 more… BibTeX Full text ( DOI )
  • Pieper, Konstantin; Vexler, Boris: A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space. SIAM Journal on Control and Optimization 51 (4), 2013, 2788-2808 more… BibTeX Full text ( DOI )
  • Springer, Andreas; Vexler, Boris: Third order convergent time discretization for parabolic optimal control problems with control constraints. Computational Optimization and Applications 57 (1), 2013, 205-240 more… BibTeX Full text ( DOI )

2012

  • Richter, Thomas; Springer, Andreas; Vexler, Boris: Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Numerische Mathematik 124 (1), 2012, 151-182 more… BibTeX Full text ( DOI )

2011

  • Apel, Thomas; Benedix, Olaf; Sirch, Dieter; Vexler, Boris: A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. SIAM Journal on Numerical Analysis 49 (3), 2011, 992-1005 more… BibTeX Full text ( DOI )
  • Kaltenbacher, Barbara; Kirchner, Alana; Vexler, Boris: Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems. Inverse Problems 27 (12), 2011, 125008 more… BibTeX Full text ( DOI )
  • Kirchner, Alana; Meidner, Dominik; Vexler, Boris: Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization. Control and Cybernetics 40 (4), 2011, 1019-1042 more… BibTeX
  • Kröner, Axel; Kunisch, Karl; Vexler, Boris: Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints. SIAM Journal on Control and Optimization 49 (2), 2011, 830-858 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Rannacher, Rolf; Vexler, Boris: A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time. SIAM Journal on Control and Optimization 49 (5), 2011, 1961-1997 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems. SIAM Journal on Control and Optimization 49 (5), 2011, 2183-2211 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 more… BibTeX Full text ( DOI )
  • Neitzel, Ira; Vexler, Boris: A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems. Numerische Mathematik 120 (2), 2011, 345-386 more… BibTeX Full text ( DOI )

2009

  • Kröner, Axel; Vexler, Boris: A priori error estimates for elliptic optimal control problems with a bilinear state equation. Journal of Computational and Applied Mathematics 230 (2), 2009, 781-802 more… BibTeX Full text ( DOI )
  • Merino, Pedro; Tröltzsch, Fredi; Vexler, Boris: Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space. ESAIM: Mathematical Modelling and Numerical Analysis 44 (1), 2009, 167-188 more… BibTeX Full text ( DOI )

2008

  • Benedix, Olaf; Vexler, Boris: A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Computational Optimization and Applications 44 (1), 2008, 3-25 more… BibTeX Full text ( DOI )
  • Griesbaum, Anke; Kaltenbacher, Barbara; Vexler, Boris: Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization. Inverse Problems 24 (2), 2008, 025025 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part I: Problems Without Control Constraints. SIAM Journal on Control and Optimization 47 (3), 2008, 1150-1177 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints. SIAM Journal on Control and Optimization 47 (3), 2008, 1301-1329 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: A Priori Error Analysis for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems. In: Numerical Mathematics and Advanced Applications. Springer Berlin Heidelberg, 2008 more… BibTeX Full text ( DOI )
  • Schmich, Michael; Vexler, Boris: Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations. SIAM Journal on Scientific Computing 30 (1), 2008, 369-393 more… BibTeX Full text ( DOI )
  • Vexler, Boris; Wollner, Winnifried: Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints. SIAM Journal on Control and Optimization 47 (1), 2008, 509-534 more… BibTeX Full text ( DOI )
  • de los Reyes, Juan Carlos; Meyer, Christian; Vexler, Boris: Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations. Control and Cybernetics 37 (2), 2008, 251-284 more… BibTeX

2007

  • Amstutz, Samuel; Takahashi, Takéo; Vexler, Boris: Topological sensitivity analysis for time-dependent problems. ESAIM: Control, Optimisation and Calculus of Variations 14 (3), 2007, 427-455 more… BibTeX Full text ( DOI )
  • Becker, Roland; Braack, Malte; Meidner, Dominik; Rannacher, Rolf; Vexler, Boris: Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems. In: Reactive Flows, Diffusion and Transport. Springer Berlin Heidelberg, 2007 more… BibTeX Full text ( DOI )
  • Becker, Roland; Meidner, Dominik; Vexler, Boris: Efficient numerical solution of parabolic optimization problems by finite element methods. Optimization Methods and Software 22 (5), 2007, 813-833 more… BibTeX Full text ( DOI )
  • Becker, Roland; Vexler, Boris: Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3), 2007, 349-367 more… BibTeX Full text ( DOI )
  • Griesse, Roland; Vexler, Boris: Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization. SIAM Journal on Scientific Computing 29 (1), 2007, 22-48 more… BibTeX Full text ( DOI )
  • Kunisch, Karl; Vexler, Boris: Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals. SIAM Journal on Control and Optimization 46 (4), 2007, 1368-1397 more… BibTeX Full text ( DOI )
  • Kunisch, Karl; Vexler, Boris: Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations. SIAM Journal on Control and Optimization 46 (5), 2007, 1726-1753 more… BibTeX Full text ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space‐Time Finite Element Methods for Parabolic Optimization Problems. SIAM Journal on Control and Optimization 46 (1), 2007, 116-142 more… BibTeX Full text ( DOI )
  • Vexler, Boris: Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems. Numerical Functional Analysis and Optimization 28 (7-8), 2007, 957-973 more… BibTeX Full text ( DOI )

2006

  • Rösch, Arnd; Vexler, Boris: Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing. SIAM Journal on Numerical Analysis 44 (5), 2006, 1903-1920 more… BibTeX Full text ( DOI )

2005

  • Becker, Roland; Braack, Malte; Vexler, Boris: Parameter identification for chemical models in combustion problems. Applied Numerical Mathematics 54 (3-4), 2005, 519-536 more… BibTeX Full text ( DOI )
  • Becker, Roland; Vexler, Boris: Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations. Journal of Computational Physics 206 (1), 2005, 95-110 more… BibTeX Full text ( DOI )
  • Rannacher, Rolf; Vexler, Boris: A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements. SIAM Journal on Control and Optimization 44 (5), 2005, 1844-1863 more… BibTeX Full text ( DOI )

2004

  • Becker, Roland; Braack, Malte; Vexler, Boris: Numerical parameter estimation for chemical models in multidimensional reactive flows. Combustion Theory and Modelling 8 (4), 2004, 661-682 more… BibTeX Full text ( DOI )
  • Vexler, Boris; Becker, Roland: A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3), 2004, 435-459 more… BibTeX Full text ( DOI )

Personal Details

Name Boris Vexler
Date and Place of Birth February 17, 1977 in Moscow, Russia
Citizenship German

Professional Career

Since March      2013 Full (W3) professor, Chair of Optimal Control, TUM

Sep. 2014 - 
Dec. 2014

Visiting professor, ETH Zurich
March 2008 - 
Feb. 2013
Associate (W2) professor at Chair of Mathematical Optimization, TUM
Oct. 2004 - 
Feb. 2008
Senior scientist at Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Austrian Academy of Sciences
Jan. 2004 - 
Sep. 2004
Research associate, Numerical Analysis Group, University of Heidelberg
Jan. 2001 - 
Dec. 2003
Member of the international research training group 710 “Complex Processes: Modeling, Simulation, and Optimization”, University of Heidelberg

University Education

June 2008 Habilitation (venia legendi), University of Graz
May 2004 Ph.D. in Mathematics (summa cum laude), University of Heidelberg
Dec.2000 Diploma in Mathematics, University of Heidelberg

Offers

2020 Offer for a full professorship "Mathematical Optimization", KFU Graz (not realized)
2011 - 2013 Offer for a full (W3) professorship, Chair of Optimal Control, TUM (accepted)
  Offer for a full (W3) professorship, University of Düsseldorf (not realized)
  Offer for a full professorship, University of Vienna (not realized)
2007 - 2008 Offer for an associate (W2) professorship, TUM (accepted)
  Offer for an associate (W3) professorship, University of Stuttgart (not realized)
  Offer for an associate (W2) professorship, TU Dresden (not realized)
  Offer for an associate (W2) professorship, University of Bonn (not realized)
  Offer for a junior (W1) professorship, University of Mainz (not realized)