Boris Vexler

Publication Activity (10 Years)

Years Active: 2003-2024
Publications (10 Years): 24

Top Topics

Error Estimates

Sensor Placement

Top Venues

SIAM J. Numer. Anal.

SIAM J. Control. Optim.

J. Optim. Theory Appl.

Publications

Johannes Pfefferer, Boris Vexler
Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains. CoRR (2024)
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time. CoRR (2024)
Boris Vexler, Jakob Wagner
Error estimates for finite element discretizations of the instationary Navier-Stokes equations. CoRR (2023)
Dmitriy Leykekhman, Boris Vexler, Jakob Wagner
Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data. CoRR (2023)
Dmitriy Leykekhman, Boris Vexler
(Ω)) best approximation type error estimates for Galerkin solutions of transient Stokes problems. CoRR (2023)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Fully discrete best approximation type estimates in $L^{\infty}(I;L^2(Ω)^d)$ for finite element discretizations of the transient Stokes equations. CoRR (2021)
Marita Holtmannspötter, Arnd Rösch, Boris Vexler
A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system. CoRR (2020)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra. SIAM J. Numer. Anal. 58 (3) (2020)
Niklas Behringer, Dmitriy Leykekhman, Boris Vexler
Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra. CoRR (2019)
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls. SIAM J. Control. Optim. 57 (3) (2019)
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems. SIAM J. Control. Optim. 57 (1) (2019)
Sebastian Engel, Philip Trautmann, Boris Vexler
Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation. CoRR (2019)
Ira Neitzel, Konstantin Pieper, Boris Vexler, Daniel Walter
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems. Numerische Mathematik 143 (4) (2019)
Dominik Meidner, Johannes Pfefferer, Klemens Schürholz, Boris Vexler
hp-Finite Elements for Fractional Diffusion. SIAM J. Numer. Anal. 56 (4) (2018)
Dmitriy Leykekhman, Boris Vexler
Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems. SIAM J. Numer. Anal. 56 (4) (2018)
Malte Braack, Martin F. Quaas, Benjamin Tews, Boris Vexler
Optimization of Fishing Strategies in Space and Time as a Non-convex Optimal Control Problem. J. Optim. Theory Appl. 178 (3) (2018)
Dmitriy Shutin, Boris Vexler
Sparse Bayesian learning with dictionary refinement for super-resolution through time. CAMSAP (2017)
Dmitriy Leykekhman, Boris Vexler
Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems. SIAM J. Numer. Anal. 55 (4) (2017)
Dmitriy Leykekhman, Boris Vexler
Discrete maximal parabolic regularity for Galerkin finite element methods. Numerische Mathematik 135 (3) (2017)
Karl Kunisch, Philip Trautmann, Boris Vexler
Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls. SIAM J. Control. Optim. 54 (3) (2016)
Dmitriy Leykekhman, Boris Vexler
Finite Element Pointwise Results on Convex Polyhedral Domains. SIAM J. Numer. Anal. 54 (2) (2016)
Dmitriy Leykekhman, Boris Vexler
A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Control. Optim. 54 (5) (2016)
Dmitriy Leykekhman, Boris Vexler
Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems. SIAM J. Numer. Anal. 54 (3) (2016)
Lukas Failer, Dominik Meidner, Boris Vexler
Optimal Control of a Linear Unsteady Fluid-Structure Interaction Problem. J. Optim. Theory Appl. 170 (1) (2016)
Dmitriy Shutin, Boris Vexler
A semismooth Newton method for adaptive distributed sparse linear regression. CAMSAP (2015)
Andreas Springer, Boris Vexler
Third order convergent time discretization for parabolic optimal control problems with control constraints. Comput. Optim. Appl. 57 (1) (2014)
Karl Kunisch, Konstantin Pieper, Boris Vexler
Measure Valued Directional Sparsity for Parabolic Optimal Control Problems. SIAM J. Control. Optim. 52 (5) (2014)
Sandra May, Rolf Rannacher, Boris Vexler
Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems. SIAM J. Control. Optim. 51 (3) (2013)
Konstantin Pieper, Boris Vexler
A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space. SIAM J. Control. Optim. 51 (4) (2013)
Dmitriy Leykekhman, Boris Vexler
Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with Pointwise Control. SIAM J. Numer. Anal. 51 (5) (2013)
Thomas Richter, Andreas Springer, Boris Vexler
Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems. Numerische Mathematik 124 (1) (2013)
Dmitriy Leykekhman, Dominik Meidner, Boris Vexler
Optimal error estimates for finite element discretization of elliptic optimal control problems with finitely many pointwise state constraints. Comput. Optim. Appl. 55 (3) (2013)
Ira Neitzel, Boris Vexler
A priori error estimates for space-time finite element discretization of semilinear parabolic optimal control problems. Numerische Mathematik 120 (2) (2012)
Dominik Meidner, Boris Vexler
A Priori Error Analysis of the Petrov-Galerkin Crank-Nicolson Scheme for Parabolic Optimal Control Problems. SIAM J. Control. Optim. 49 (5) (2011)
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 J. Control. Optim. 49 (5) (2011)
Thomas Apel, Olaf Benedix, Dieter Sirch, Boris Vexler
A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side. SIAM J. Numer. Anal. 49 (3) (2011)
Axel Kröner, Karl Kunisch, Boris Vexler
Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints. SIAM J. Control. Optim. 49 (2) (2011)
Olaf Benedix, Boris Vexler
A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints. Comput. Optim. Appl. 44 (1) (2009)
Michael Schmich, Boris Vexler
Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations. SIAM J. Sci. Comput. 30 (1) (2008)
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 J. Control. Optim. 47 (3) (2008)
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 J. Control. Optim. 47 (3) (2008)
Boris Vexler, Winnifried Wollner
Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints. SIAM J. Control. Optim. 47 (1) (2008)
Karl Kunisch, Boris Vexler
Optimal Vortex Reduction for Instationary Flows Based on Translation Invariant Cost Functionals. SIAM J. Control. Optim. 46 (4) (2007)
Roland Becker, Dominik Meidner, Boris Vexler
Efficient numerical solution of parabolic optimization problems by finite element methods. Optim. Methods Softw. 22 (5) (2007)
Dominik Meidner, Boris Vexler
Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems. SIAM J. Control. Optim. 46 (1) (2007)
Karl Kunisch, Boris Vexler
for a Class of Evolution Equations. SIAM J. Control. Optim. 46 (5) (2007)
Roland Becker, Boris Vexler
Optimal control of the convection-diffusion equation using stabilized finite element methods. Numerische Mathematik 106 (3) (2007)
Roland Griesse, Boris Vexler
Numerical Sensitivity Analysis for the Quantity of Interest in PDE-Constrained Optimization. SIAM J. Sci. Comput. 29 (1) (2007)
Arnd Rösch, Boris Vexler
Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing. SIAM J. Numer. Anal. 44 (5) (2006)
Rolf Rannacher, Boris Vexler
A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements. SIAM J. Control. Optim. 44 (5) (2005)
Roland Becker, Boris Vexler
A posteriori error estimation for finite element discretization of parameter identification problems. Numerische Mathematik 96 (3) (2004)
Boris Vexler
Adaptive Finite Elements for Output-Oriented Model Calibration. HPSC (2003)