Boris Vexler

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All published works
Action Title Year Authors
+ PDF Chat Optimal Control of the Navier-Stokes equations via Pressure Boundary Conditions 2025 Boris Vexler
Jakob Wagner
+ PDF Chat A priori error estimates for finite element discretization of semilinear elliptic equations with non-Lipschitz nonlinearities 2024 Boris Vexler
+ PDF Chat Numerical Analysis for Neumann Optimal Control Problems on Convex Polyhedral Domains 2024 Johannes Pfefferer
Boris Vexler
+ PDF Chat A priori error estimates for optimal control problems governed by the transient Stokes equations and subject to state constraints pointwise in time 2024 Dmitriy Leykekhman
Boris Vexler
Jakob Wagner
+ Error estimates for finite element discretizations of the instationary Navier-Stokes equations 2024 Boris Vexler
Jakob Wagner
+ Numerical Analysis for Dirichlet Optimal Control Problems on Convex Polyhedral Domains 2024 Johannes Pfefferer
Boris Vexler
+ PDF Chat Fully discrete pointwise smoothing error estimates for measure valued initial data 2023 Dmitriy Leykekhman
Boris Vexler
Jakob Wagner
+ Fully Discrete Pointwise Smoothing Error Estimates for Measure Valued Initial Data 2023 Dmitriy Leykekhman
Boris Vexler
Jakob Wagner
+ $L^2(I;H^1(Ω))$ and $L^2(I;L^2(Ω))$ best approximation type error estimates for Galerkin solutions of transient Stokes problems 2023 Dmitriy Leykekhman
Boris Vexler
+ Error estimates for finite element discretizations of the instationary Navier-Stokes equations 2023 Boris Vexler
Jakob Wagner
+ PDF Chat A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system 2021 Marita Holtmannspötter
Arnd Rösch
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 2021 Niklas Behringer
Dmitriy Leykekhman
Boris Vexler
+ PDF Chat New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints 2020 Constantin Christof
Boris Vexler
+ PDF Chat Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation 2020 Sebastian Engel
Boris Vexler
Philip Trautmann
+ A priori error estimates for the space-time finite element discretization of an optimal control problem governed by a coupled linear PDE-ODE system 2020 Marita Holtmannspötter
Arnd Rösch
Boris Vexler
+ PDF Chat Numerical analysis of sparse initial data identification for parabolic problems 2020 Dmitriy Leykekhman
Boris Vexler
Daniel Walter
+ PDF Chat Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra 2020 Niklas Behringer
Dmitriy Leykekhman
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 2020 Marita Holtmannspötter
Arnd Rösch
Boris Vexler
+ Mini-Workshop: Numerical Analysis for Non-Smooth PDE-Constrained Optimal Control Problems 2019 Susanne C. Brenner
Dmitriy Leykekhman
Boris Vexler
+ PDF Chat A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems 2019 Ira Neitzel
Konstantin Pieper
Boris Vexler
Daniel Walter
+ PDF Chat Finite element error estimates for one-dimensional elliptic optimal control by BV-functions 2019 Dominik Hafemeyer
Florian Mannel
Ira Neitzel
Boris Vexler
+ Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation 2019 Sebastian Engel
Philip Trautmann
Boris Vexler
+ Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra 2019 Niklas Behringer
Dmitriy Leykekhman
Boris Vexler
+ Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems 2019 Dmitriy Leykekhman
Boris Vexler
Daniel Walter
+ Finite element error estimates for elliptic optimal control by BV functions 2019 Dominik Hafemeyer
Florian Mannel
Ira Neitzel
Boris Vexler
+ Finite element error estimates for one-dimensional elliptic optimal control by BV functions 2019 Dominik Hafemeyer
Florian Mannel
Ira Neitzel
Boris Vexler
+ PDF Chat A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems 2019 Lucas Bonifacius
Konstantin Pieper
Boris Vexler
+ PDF Chat Error Estimates for Space-Time Discretization of Parabolic Time-Optimal Control Problems with Bang-Bang Controls 2019 Lucas Bonifacius
Konstantin Pieper
Boris Vexler
+ Optimal finite element error estimates for an optimal control problem governed by the wave equation with controls of bounded variation 2019 Sebastian Engel
Philip Trautmann
Boris Vexler
+ Global and local pointwise error estimates for finite element approximations to the Stokes problem on convex polyhedra 2019 Niklas Behringer
Dmitriy Leykekhman
Boris Vexler
+ Numerical Analysis of Sparse Initial Data Identification for Parabolic Problems 2019 Dmitriy Leykekhman
Boris Vexler
Daniel Walter
+ Finite element error estimates for one-dimensional elliptic optimal control by BV functions 2019 Dominik Hafemeyer
Florian Mannel
Ira Neitzel
Boris Vexler
+ Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls 2018 Lucas Bonifacius
Konstantin Pieper
Boris Vexler
+ PDF Chat Optimal error estimates for fully discrete Galerkin approximations of semilinear parabolic equations 2018 Dominik Meidner
Boris Vexler
+ PDF Chat Discrete Maximal Parabolic Regularity for Galerkin Finite Element Methods for Nonautonomous Parabolic Problems 2018 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Finite element error analysis for measure-valued optimal control problems governed by a 1D wave equation with variable coefficients 2018 Philip Trautmann
Boris Vexler
Alexander Zlotnik
+ Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking 2018 Niklas Behringer
Dominik Meidner
Boris Vexler
+ PDF Chat $hp$-Finite Elements for Fractional Diffusion 2018 Dominik Meidner
Johannes Pfefferer
Klemens Schürholz
Boris Vexler
+ Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls 2018 Lucas Bonifacius
Konstantin Pieper
Boris Vexler
+ A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems 2018 Lucas Bonifacius
Konstantin Pieper
Boris Vexler
+ Finite element error analysis for measure-valued optimal control problems governed by the 1D generalized wave equation 2017 Alexander Zlotnik
Philip Trautmann
Boris Vexler
+ PDF Chat Global and Interior Pointwise best Approximation Results for the Gradient of Galerkin Solutions for Parabolic Problems 2017 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Optimal A Priori Error Estimates of Parabolic Optimal Control Problems with a Moving Point Control 2017 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Discrete maximal parabolic regularity for Galerkin finite element methods 2016 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems 2016 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls 2016 Karl Kunisch
Philip Trautmann
Boris Vexler
+ A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control 2016 Dmitriy Leykekhman
Boris Vexler
+ PDF Chat Sparse initial data identification for parabolic PDE and its finite element approximations 2015 Eduardo Casas
Boris Vexler
Enrique Zuazua
+ PDF Chat Goal oriented adaptivity in the IRGNM for parameter identification in PDEs: II. all-at-once formulations 2014 Barbara Kaltenbacher
Alana Kirchner
Boris Vexler
+ Measure Valued Directional Sparsity for Parabolic Optimal Control Problems 2014 Karl Kunisch
Konstantin Pieper
Boris Vexler
+ Third order convergent time discretization for parabolic optimal control problems with control constraints 2013 Andreas Springer
Boris Vexler
+ PDF Chat A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space 2013 Konstantin Pieper
Boris Vexler
+ PDF Chat Numerical Simulation of Transport in Porous Media: Some Problems from Micro to Macro Scale 2013 Quanji Cai
Sheema Kooshapur
Michael Manhart
Ralf-Peter Mundani
E. Rank
Andreas Springer
Boris Vexler
+ Efficient numerical realization of discontinuous Galerkin methods for temporal discretization of parabolic problems 2012 Thomas Richter
Andreas Springer
Boris Vexler
+ PDF Chat Adaptive Finite Element Methods for Parameter Identification Problems 2012 Boris Vexler
+ Adaptive discretizations for the choice of a Tikhonov regularization parameter in nonlinear inverse problems 2011 Barbara Kaltenbacher
Alana Kirchner
Boris Vexler
+ PDF Chat Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints 2011 Axel Kröner
Karl Kunisch
Boris Vexler
+ A Priori Error Analysis of the Petrov–Galerkin Crank–Nicolson Scheme for Parabolic Optimal Control Problems 2011 Dominik Meidner
Boris Vexler
+ Adaptive finite element discretization in PDE‐based optimization 2010 Rolf Rannacher
Boris Vexler
+ Semismooth Newton Methods for an Optimal Boundary Control Problem of Wave Equations 2010 Axel Kröner
Karl Kunisch
Boris Vexler
+ PDF Chat Error estimates for the finite element approximation of a semilinear elliptic control problem with state constraints and finite dimensional control space 2009 Pedro Merino
Fredi Tröltzsch
Boris Vexler
+ A priori error estimates for elliptic optimal control problems with a bilinear state equation 2009 Axel Kröner
Boris Vexler
+ Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization 2008 Anke Griesbaum
Barbara Kaltenbacher
Boris Vexler
+ PDF Chat Efficient numerical solution of parabolic optimization problems by finite element methods 2007 Roland Becker
Dominik Meidner
Boris Vexler
+ Adaptive Finite Element Methods for PDE-Constrained Optimal Control Problems 2007 Roland Becker
Malte Braack
Dominik Meidner
Rolf Rannacher
Boris Vexler
+ PDF Chat Optimal control of the convection-diffusion equation using stabilized finite element methods 2007 Roland Becker
Boris Vexler
+ PDF Chat Numerical Sensitivity Analysis for the Quantity of Interest in PDE‐Constrained Optimization 2007 Roland Griesse
Boris Vexler
+ PDF Chat Mesh Refinement and Numerical Sensitivity Analysis for Parameter Calibration of Partial Differential Equations 2005 Roland Becker
Boris Vexler
+ Parameter identification for chemical models in combustion problems 2004 Roland Becker
Malte Braack
Boris Vexler
+ Numerical parameter estimation for chemical models in multidimensional reactive flows 2004 Roland Becker
Malte Braack
Boris Vexler
+ Mesh Adaptation for Parameter Identification Problems 2003 Roland Becker
Boris Vexler
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ PDF Chat A Variational Discretization Concept in Control Constrained Optimization: The Linear-Quadratic Case 2005 Michael Hinze
13
+ PDF Chat Time discretization of parabolic problems by the discontinuous Galerkin method 1985 Kenneth Eriksson
Claes Johnson
Vidar Thomée
12
+ PDF Chat Discrete maximal parabolic regularity for Galerkin finite element methods 2016 Dmitriy Leykekhman
Boris Vexler
11
+ Measure Valued Directional Sparsity for Parabolic Optimal Control Problems 2014 Karl Kunisch
Konstantin Pieper
Boris Vexler
11
+ PDF Chat A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space 2013 Konstantin Pieper
Boris Vexler
11
+ PDF Chat Efficient numerical solution of parabolic optimization problems by finite element methods 2007 Roland Becker
Dominik Meidner
Boris Vexler
9
+ Elliptic Problems in Nonsmooth Domains 2011 Pierre Grisvard
9
+ PDF Chat Pointwise Best Approximation Results for Galerkin Finite Element Solutions of Parabolic Problems 2016 Dmitriy Leykekhman
Boris Vexler
9
+ PDF Chat Approximation of Elliptic Control Problems in Measure Spaces with Sparse Solutions 2012 Eduardo Casas
Christian Clason
Karl Kunisch
9
+ Adaptive Finite Element Methods for Parabolic Problems II: Optimal Error Estimates in $L_\infty L_2 $ and $L_\infty L_\infty $ 1995 Kenneth Eriksson
Claes Johnson
8
+ PDF Chat Sparse initial data identification for parabolic PDE and its finite element approximations 2015 Eduardo Casas
Boris Vexler
Enrique Zuazua
8
+ PDF Chat Galerkin Finite Element Methods for Parabolic Problems. 1985 Rolf Rannacher
Vidar Thomée
8
+ An optimal control approach to <i>a posteriori</i> error estimation in finite element methods 2001 Roland Becker
Rolf Rannacher
8
+ PDF Chat Parabolic Control Problems in Measure Spaces with Sparse Solutions 2013 Eduardo Casas
Christian Clason
Karl Kunisch
7
+ PDF Chat Partial Differential Equations 1988 Shiing-Shen Chern
7
+ Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem 1991 Kenneth Eriksson
Claes Johnson
7
+ PDF Chat Inverse problems in spaces of measures 2012 Kristian Bredies
Hanna K. Pikkarainen
7
+ PDF Chat Well-Posedness of Parabolic Difference Equations 1994 Allaberen Ashyralyev
П. Е. Соболевский
6
+ PDF Chat Optimal Control of Semilinear Elliptic Equations in Measure Spaces 2014 Eduardo Casas
Karl Kunisch
6
+ Optimal Control of Systems Governed by Partial Differential Equations 1971 J. L. Lions
6
+ A Priori Error Estimates for Three Dimensional Parabolic Optimal Control Problems with Pointwise Control 2016 Dmitriy Leykekhman
Boris Vexler
6
+ Superconvergence Properties of Optimal Control Problems 2004 Christian Meyer
Arnd Rösch
6
+ PDF Chat Primal-Dual Strategy for Constrained Optimal Control Problems 1999 Maı̈tine Bergounioux
Kazufumi Ito
Karl Kunisch
5
+ PDF Chat Pontryagin's Principle for State-Constrained Boundary Control Problems of Semilinear Parabolic Equations 1997 Eduardo Casas
5
+ Perturbation Analysis of Optimization Problems 2000 J. Frédéric Bonnans
Alexander Shapiro
5
+ PDF Chat Parabolic control problems in space-time measure spaces 2015 Eduardo Casas
Karl Kunisch
5
+ None 2002 Anita Hansbo
5
+ Partial Differential Equations 2010 Lawrence Evans
5
+ Adaptive Finite Element Methods for Parabolic Problems VI: Analytic Semigroups 1998 Kenneth Eriksson
Claes Johnson
Stig Larsson
5
+ Parameter identification for chemical models in combustion problems 2004 Roland Becker
Malte Braack
Boris Vexler
5
+ PDF Chat Optimal regularity for elliptic transmission problems including $C^1$ interfaces 2007 Johannes Elschner
Joachim Rehberg
G. Schmidt
4
+ Regularization of Inverse Problems 1996 Heinz W. Engl
Martin Hanke
Andreas B. Neubauer
4
+ Directional Sparsity in Optimal Control of Partial Differential Equations 2012 Roland Herzog
Georg Stadler
Gerd Wachsmuth
4
+ PDF Chat Neumann Boundary Control of Hyperbolic Equations with Pointwise State Constraints 2004 Boris S. Mordukhovich
Jean‐Pierre Raymond
4
+ PDF Chat Convergence and regularization results for optimal control problems with sparsity functional 2010 Gerd Wachsmuth
Daniel Wachsmuth
4
+ Control of distributed singular systems 1985 Jacques Louis Lions
4
+ PDF Chat The Primal-Dual Active Set Strategy as a Semismooth Newton Method 2002 Michael Hintermüller
Kazufumi Ito
Karl Kunisch
4
+ PDF Chat Optimal control of the convection-diffusion equation using stabilized finite element methods 2007 Roland Becker
Boris Vexler
4
+ PDF Chat On a Finite Element Method for Solving the Neutron Transport Equation 1974 P. LASAINT
Pierre-Arnaud Raviart
4
+ Non-Homogeneous Boundary Value Problems and Applications 1973 J. L. Lions
Enrico Magenes
4
+ PDF Chat Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints 2011 Axel Kröner
Karl Kunisch
Boris Vexler
4
+ PDF Chat A posteriori error estimation for hp-version time-stepping methods for parabolic partial differential equations 2010 Dominik Schötzau
Thomas P. Wihler
4
+ PDF Chat Optimal distributed control of the wave equation subject to state constraints 2009 Martin Gugat
Alexander Keimer
Günter Leugering
4
+ PDF Chat Elliptic Partial Differential Equations of Second Order 2001 David Gilbarg
Neil S. Trudinger
4
+ Efficient computation of the Tikhonov regularization parameter by goal-oriented adaptive discretization 2008 Anke Griesbaum
Barbara Kaltenbacher
Boris Vexler
4
+ PDF Chat On the stability of the $L^2$ projection in $H^1(\Omega)$ 2001 James H. Bramble
Joseph E. Pasciak
Olaf Steinbach
3
+ PDF Chat Semismooth Newton Methods for Operator Equations in Function Spaces 2002 Michael Ulbrich
3
+ PDF Chat Stabilization of Galerkin approximations of transport equations by subgrid modeling 1999 Jean‐Luc Guermond
3
+ Convergence of approximations vs. regularity of solutions for convex, control-constrained optimal-control problems 1982 Kazimierz Malanowski
3
+ Iterative Regularization Methods for Nonlinear Ill-Posed Problems 2008 Barbara Kaltenbacher
Andreas B. Neubauer
Otmar Scherzer
3