Prof. Dr. Boris Vexler


Foto von Boris Vexler

Technische Universität München

Lehrstuhl für Optimalsteuerung (Prof. Vexler)

Eine Liste früherer Lehrveranstaltungen finden Sie in TUMonline.

2024

  • Pfefferer, Johannes; Vexler, Boris: Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. , 2024 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris; Wagner, Jakob: Error estimates for finite element discretizations of the instationary Navier-Stokes equations. , 2023 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3), 2016, 923-952 mehr… BibTeX Volltext ( DOI )
  • Leykekhman, Dmitriy; Vexler, Boris: Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM Journal on Numerical Analysis 54 (2), 2016, 561-587 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Meidner, Dominik; Vexler, Boris: Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. In: International Series of Numerical Mathematics. Springer Basel, 2011 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Becker, Roland; Vexler, Boris: Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3), 2007, 349-367 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris: Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems. Numerical Functional Analysis and Optimization 28 (7-8), 2007, 957-973 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( 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 mehr… BibTeX Volltext ( DOI )
  • Vexler, Boris; Becker, Roland: A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3), 2004, 435-459 mehr… BibTeX Volltext ( DOI )

Persönliche Daten

Name Boris Vexler
Geburtsdatum und -ort 17. Februar 1977 in Moskau, Russland
Staatsangehörigkeit deutsch

Beruflicher Werdegang

Seit März 2013 Professor (W3), Inhaber des Lehrstuhls für Optimalsteuerung, Technische Universität München
Sep. 2014 - Dez. 2014 Gastprofessor an der ETH Zürich
März 2008 - Feb. 2013 Professor (W2) am Lehrstuhl für Mathematische Optimierung, Technische Universität München
Okt. 2004 - Feb. 2008 Wissenschaftlicher Mitarbeiter am Johann Radon Institute for Computational and Applied Mathematics (RICAM), Linz, Österreichische Akademie der Wissenschaften
Jan. 2004 - Sep. 2004 Wissenschaftlicher Mitarbeiter, Arbeitsgruppe Numerische Mathematik, Universität Heidelberg
Jan. 2001 - Dez. 2003 Mitglied des Internationalen Graduiertenkollegs 710 „Komplexe Prozesse: Modellierung, Simulation und Optimierung“, Universität Heidelberg

Akademische Ausbildung

Juni 2008 Habilitation (venia legendi), Universität Graz
Mai 2004 Promotion in Mathematik (summa cum laude), Universität Heidelberg
Dez. 2000 Diplom in Mathematik, Universität Heidelberg

Rufe

2020 Ruf auf Professur (Lehrstuhl) "Mathematische Optimierung", KFU Graz (abgelehnt)
2011 - 2013 Ruf auf W3 Professur, Lehrstuhl für Optimalsteuerung, TUM (angenommen)
  Ruf auf W3 Professur, Universität Düsseldorf (abgelehnt)
  Ruf auf Professur (Lehrstuhl), Universität Wien (abgelehnt)
2007 - 2008 Ruf auf W2 Professur, TUM (angenommen)
  Ruf auf W3 Professur, Universität Stuttgart (abgelehnt)
  Ruf auf W2 Professur, TU Dresden (abgelehnt)
  Ruf auf W2 Professur, Universität Bonn (abgelehnt)
  Ruf auf W1 Juniorprofessur, Universität Mainz (abgelehnt)