Prof. Dr. Boris Vexler

Publikationen

Wissenschaftliche Beiträge in Zeitschriften
Dmitriy Leykekhman, Boris Vexler:
Discrete maximal parabolic regularity for Galerkin finite element methods
Numerische Mathematik, 135(3), pp. 923-952, 2017. (doi:10.1007/s00211-016-0821-2)
Dmitriy Leykekhman, Boris Vexler:
Global and interior pointwise best approximation results for the gradient of Galerkin solutions for parabolic problems
SIAM Journal on Numerical Analysis 55(4), pp. 2025-2049, 2017. (doi:10.1137/16M1080252)
Dmitriy Leykekhman, Boris Vexler :
Optimal a priori error estimates of parabolic optimal control problems with a moving point control
Solvability, Regularity, Optimal Control of Boundary Value Problems for PDEs, Springer Verlag, accepted, 2017.
Philip Trautmann, Boris Vexler, Alexander Zlotnik:
Finite Element Error Analysis For Measure-valued Optimal Control Problems Governed by a 1D Wave Equation with Variable Coefficients
Mathematical Control and Related Fields, accepted, 2017.
Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler:
hp-Finite Elements for Fractional Diffusion
submitted, Preprint arXiv: 1706.04066, 2017.
Malte Braack, Martin Quaas, Benjamin Tews, Boris Vexler:
Optimization of fishing strategies in space and time as a non-convex optimal control problem
submitted, 2017.
Dominik Meidner, Boris Vexler:
Optimal Error Estimates for Fully Discrete Galerkin Approximations of Semilinear Parabolic Equations
submitted, Preprint arXiv: 1707.07889, 2017.
Dmitriy Leykekhman, Boris Vexler:
Discrete maximal parabolic regularity for Galerkin finite element methods for non-autonomous parabolic problems
submitted, Preprint arXiv: 1707.09163, 2017.
Karl Kunisch, Philip Trautmann, Boris Vexler:
Optimal control of the undamped linear wave equation with measure valued controls
SIAM Journal on Control and Optimization 54(3), pp. 1212-1244, 2016. (doi:10.1137/141001366)
Dmitriy Leykekhman, Boris Vexler:
Finite element pointwise results on convex polyhedral domains
SIAM Journal on Numerical Analysis 54(2), pp. 561–587, 2016. (doi:10.1137/15M1013912)
Dmitriy Leykekhman, Boris Vexler:
A priori error estimates for three dimensional parabolic optimal control problems with pointwise control
SIAM Journal on Control and Optimization, 54(5), pp. 2403-2435, 2016. (doi:10.1137/15M1028042)
Lukas Failer, Dominik Meidner, Boris Vexler:
Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem
Journal of Optimization Theory and Applications, 170(1), pp. 1-27, 2016. (doi:10.1007/s10957-016-0930-1)
Dmitriy Leykekhman, Boris Vexler:
Pointwise best approximation results for Galerkin finite element solutions of parabolic problems
SIAM Journal on Numerical Analysis 54(3), pp. 1365-1384, 2016. (doi:10.1137/15M103412X)
Eduardo Casas, Boris Vexler, Enrique Zuazua:
Sparse initial data identification for parabolic PDE and it´s finite element approximations
Mathematical Control and Related Fields 5(3), pp. 377-399, 2015. (doi:10.3934/mcrf.2015.5.377)
Andreas Springer, Boris Vexler:
Third Order Convergent Time Discretization for Parabolic Optimal Control Problems with Control Constraints
Computational Optimization and Applications 57(1), pp. 205-240, 2014. (doi:10.1007/s10589-013-9580-5)
Eduardo Casas, Mariano Mateos, Boris Vexler:
New Regularity Results and Improved Error Estimates for Optimal Control Problems with State Constraints
ESAIM: Control, Optimisation and Calculus of Variations 20(3), pp. 803-822, 2014. (doi:10.1051/cocv/2013084)
Barbara Kaltenbacher, Alana Kirchner, Boris Vexler:
Goal oriented adaptivity in the IRGNM for parameter identification in PDEs II: All-at-once formulations
Inverse Problems, 30(4), 045002, 2014. (doi:10.1088/0266-5611/30/4/045002)
Karl Kunisch, Konstantin Pieper, Boris Vexler:
Measure valued directional sparsity for parabolic optimal control problems
SIAM Journal on Control and Optimization 52(5), pp. 3078-3108, 2014. (doi:10.1137/140959055)
Dmitriy Leykekhman, Dominik Meidner, Boris Vexler:
Optimal Error Estimates for Finite Element Discretization of Elliptic Optimal Control Problems with Finitely Many Pointwise State Constraints
Computational Optimization and Applications 55(3), pp. 769-802, 2013. (doi:10.1007/s10589-013-9537-8)
Konstantin Pieper, Boris Vexler:
A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space
SIAM Journal on Control and Optimization 51(4), pp. 2788-2808, 2013. (doi:10.1137/120889137)
Dmitriy Leykekhman, Boris Vexler:
Optimal a Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control
SIAM Journal on Numerical Analysis 51(5), pp. 2797-2821, 2013. (doi:10.1137/120885772)
Sandra May, Rolf Rannacher, Boris Vexler:
Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems
SIAM Journal on Control and Optimization 51 (3), pp. 2585-2611, 2013. (doi:10.1137/080735734)
Bernhard Kiniger, Boris Vexler:
A Priori Error Estimates for Finite Element Discretizations of a Shape Optimization Problem
ESAIM: Mathematical Modelling and Numerical Analysis 47(6), pp. 1733-1763, 2013. (doi:10.1051/m2an/2013086)
Thomas Richter, Andreas Springer, Boris Vexler:
Efficient Numerical Realization of Discontinuous Galerkin Methods for Temporal Discretization of Parabolic Problems
Numerische Mathematik 124(1), pp. 151-182, 2013. (doi:10.1007/s00211-012-0511-7)
Ira Neitzel, Boris Vexler:
A Priori Error Estimates for Space-Time Finite Element Discretization of Semilinear Parabolic Optimal Control Problems
Numerische Mathematik 120(2), pp. 345-386, 2012. (doi:10.1007/s00211-011-0409-9)
Alana Kirchner, Dominik Meidner, Boris Vexler:
Trust Region Methods with Hierarchical Finite Element Models for PDE-Constrained Optimization
Control and Cybernetics 40(4), pp. 1019-1042, 2011.
Dominik Meidner, Boris Vexler:
A Priori Error Analysis of the Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems
SIAM Journal on Control and Optimization 49(5), pp. 2183-2211, 2011. (doi:10.1137/100809611)
Dominik Meidner, Rolf Rannacher, Boris Vexler:
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), pp. 1961-1997, 2011. (doi:10.1137/100793888)
Barbara Kaltenbacher, Alana Kirchner, Boris Vexler:
Adaptive Discretizations for the Choice of a Tikhonov Regularization Parameter in Nonlinear Inverse Problems
Inverse Problems 27(12), 2011. (doi:10.1088/0266-5611/27/12/125008)
Axel Kröner, Karl Kunisch, Boris Vexler:
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints
SIAM Journal on Control and Optimization 49(2), pp. 830-858, 2011. (doi:10.1137/090766541)
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vexler:
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-hand Side
SIAM Journal on Numerical Analysis 49(3), pp. 992-1005, 2011. (doi:10.1137/090778018)
Pedro Merino, Fredi Tröltzsch, Boris Vexler:
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), pp. 167-188, 2010. (doi:10.1051/m2an/2009045)
Olaf Benedix, Boris Vexler:
A Posteriori Error Estimation and Adaptivity for Elliptic Optimal Control Problems with State Constraints
Computational Optimization and Applications 44(1), pp. 3-25, 2009. (doi:10.1007/s10589-008-9200-y)
Axel Kröner, Boris Vexler:
A Priori Error Estimates for Elliptic Optimal Control Problems with Bilinear State Equation
Journal of Computational and Applied Mathematics 230(2), pp. 781-802, 2009. (doi:10.1016/j.cam.2009.01.023)
Dominik Meidner, Boris Vexler:
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), pp. 1301-1329, 2008. (doi:10.1137/070694028)
Dominik Meidner, Boris Vexler:
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), pp. 1150-1177, 2008. (doi:10.1137/070694016)
Samuel Amstutz, Takeo Takahashi, Boris Vexler:
Topological Sensitivity Analysis for Time-Dependent Problems
ESAIM: Control, Optimisation and Calculus of Variations 14(3), pp. 427-455, 2008. (doi:10.1051/cocv:2007059)
Michael Schmich, Boris Vexler:
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations
SIAM Journal on Scientific Computing 30(1), pp. 369-393, 2008. (doi:10.1137/060670468)
Boris Vexler, Winnifried Wollner:
Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints
SIAM Journal on Control and Optimization 47(1), pp. 509-534, 2008. (doi:10.1137/070683416)
Anke Griesbaum, Barbara Kaltenbacher, Boris Vexler:
Efficient Computation of the Tikhonov Regularization Parameter by Goal Oriented Adaptive Discretization
Inverse Problems 24(2), 2008. (doi:10.1088/0266-5611/24/2/025025)
Juan Carlos de los Reyes, Christian Meyer, Boris Vexler:
Finite Element Error Analysis for State-Constrained Optimal Control of the Stokes Equations
Control and Cybernetics 37(2), pp. 251-284, 2008.
Dominik Meidner, Boris Vexler:
Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems
SIAM Journal on Control and Optimization 46(1), pp. 116-142, 2007. (doi:10.1137/060648994)
Roland Becker, Dominik Meidner, Boris Vexler:
Efficient Numerical Solution of Parabolic Optimization Problems by Finite Element Methods
Optimization Methods and Software 22(5), pp. 813-833, 2007. (doi:10.1080/10556780701228532)
Boris Vexler:
Finite Element Approximation of Elliptic Dirichlet Optimal Control Problems
Numerical Functional Analysis and Optimization 28(7-8), pp. 957-973, 2007. (doi:10.1080/01630560701493305)
Roland Griesse, Boris Vexler:
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-constrained Optimization
SIAM Journal on Scientific Computing 29(1), pp. 22-48, 2007. (doi:10.1137/050637273)
Roland Becker, Boris Vexler:
Optimal Control of the Convection-Diffusion Equation Using Stabilized Finite Element Methods
Numerische Mathematik 106(3), pp. 349-367, 2007. (doi:10.1007/s00211-007-0067-0)
Karl Kunisch, Boris Vexler:
Optimal Vortex Reduction for Instationary Flows based on Translation Invariant Cost Functionals
SIAM Journal on Control and Optimization 46(4), pp. 1368-1397, 2007. (doi:10.1137/050632774)
Karl Kunisch, Boris Vexler:
Constrained Dirichlet Boundary Control in L² for a Class of Evolution Equations
SIAM Journal on Control and Optimization 46(5), 1726-1753, 2007. (doi:10.1137/060670110)
Arnd Rösch, Boris Vexler:
Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
SIAM Journal on Numerical Analysis 44(5), 1903-1920, 2006. (doi:10.1137/050637364)
Roland Becker, Boris Vexler:
Mesh Refinement and Numerical Sensitivity Analysis for Parameter Calibration of Partial Differential Equations
Journal of Computational Physics 206(1), pp. 95-110, 2005. (doi:10.1016/j.jcp.2004.12.018)
Roland Becker, Malte Braack, Boris Vexler:
Parameter Identification for Chemical Models in Combustion Problems
Applied Numerical Mathematics 54(3-4), pp. 519-536, 2005. (doi:10.1016/j.apnum.2004.09.017)
Rolf Rannacher, Boris Vexler:
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), pp. 1844-1863, 2005. (doi:10.1137/040611100)
Roland Becker, Boris Vexler:
A Posteriori Error Estimation for Finite Element Discretization of Parameter Identification Problems
Numerische Mathematik 96(3), pp. 435-459, 2004. (doi:10.1007/s00211-003-0482-9)
Roland Becker, Malte Braack, Boris Vexler:
Numerical Parameter Estimation for Chemical Models in Multidimensional Reactive Flows
Combustion Theory and Modelling 8(4), pp. 661-682, 2004. (doi:10.1088/1364-7830/8/4/001)

Habilitationsschrift, Dissertation und Diplomarbeit
Effictient Numerical Soltion of Optimization Problems Governed by Partial Differential Equations
Habilitation thesis, University of Graz, 2008
Adaptive Finite Element Methods for Parameter Identification Problems
PhD thesis, University of Heidelberg, 2004
A-posteriori Fehlerschaetzung bei Finite-Elemente-Approximation Nichtlinearer Elliptischer Differentialgleichungen
Diploma thesis, University of Heidelberg, 2000 (in german)
 
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