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Mathematics

D-Index
34
Citations
3722
World Ranking
2959
National Ranking
182

Overview

Boris Vexler is affiliated with the Technical University of Munich in Germany, with a research focus primarily in engineering and computer science. Their work covers multiple subfields, including computational mechanics, computational theory and mathematics, mechanics of materials, control and systems engineering, and mathematical physics.

Their research topics emphasize advanced numerical methods in computational mathematics, advanced mathematical modeling in engineering, numerical methods in engineering, stability and controllability of differential equations, numerical methods in inverse problems, computational fluid dynamics and aerodynamics, as well as Navier-Stokes equation solutions.

Vexler has contributed to the following recent papers:

  • New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints (2020), ESAIM Control Optimisation and Calculus of Variations
  • Global and Local Pointwise Error Estimates for Finite Element Approximations to the Stokes Problem on Convex Polyhedra (2020), SIAM Journal on Numerical Analysis
  • Numerical analysis for Neumann optimal control problems on convex polyhedral domains (2025), Mathematical Control and Related Fields
  • Fully discrete best-approximation-type estimates in L∞ (I;L2(Ω)d) for finite element discretizations of the transient Stokes equations (2022), IMA Journal of Numerical Analysis
  • Error estimates for finite element discretizations of the instationary Navier-Stokes equations (2024), ESAIM. Mathematical modelling and numerical analysis

The frequent collaborators identified include Dmitriy Leykekhman, Jakob Wagner, Dominik Meidner, Johannes Pfefferer, and Niklas Behringer.

Vexler's publications appear notably in venues such as arXiv (Cornell University), Mathematical Control and Related Fields, ESAIM. Mathematical modelling and numerical analysis, IMA Journal of Numerical Analysis, and ESAIM Control Optimisation and Calculus of Variations.

In addition to journal articles, Vexler has authored a book published by Springer Nature titled Numerical Analysis for Elliptic Optimal Control Problems, scheduled for release in 2025.

Best Publications

  • Adaptive Space-Time Finite Element Methods for Parabolic Optimization Problems

    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

    Dominik Meidner;Boris Vexler

  • Optimal control of the convection-diffusion equation using stabilized finite element methods

    Roland Becker;Boris Vexler

  • Adaptivity with Dynamic Meshes for Space-Time Finite Element Discretizations of Parabolic Equations

    Michael Schmich;Boris Vexler

  • A Priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Optimal Control Problems Part II: Problems with Control Constraints

    Unknown

  • Adaptive Finite Elements for Elliptic Optimization Problems with Control Constraints

    B. Vexler;W. Wollner

  • A posteriori error estimation for finite element discretization of parameter identification problems

    Roland Becker;Boris Vexler

  • Efficient numerical solution of parabolic optimization problems by finite element methods

    Roland Becker;Dominik Meidner;Boris Vexler

  • Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems

    Sandra May;Rolf Rannacher;Boris Vexler

  • Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations

    K. Kunisch;B. Vexler

  • A posteriori error estimation and adaptivity for elliptic optimal control problems with state constraints

    Olaf Benedix;Boris Vexler

  • A priori error estimates for space–time finite element discretization of semilinear parabolic optimal control problems

    Ira Neitzel;Boris Vexler

  • Measure Valued Directional Sparsity for Parabolic Optimal Control Problems

    Karl Kunisch;Konstantin Pieper;Boris Vexler

  • Semismooth Newton Methods for Optimal Control of the Wave Equation with Control Constraints

    Axel Kröner;Karl Kunisch;Boris Vexler

  • A Priori Error Analysis for Discretization of Sparse Elliptic Optimal Control Problems in Measure Space

    Konstantin Pieper;Boris Vexler

  • Mesh refinement and numerical sensitivity analysis for parameter calibration of partial differential equations

    Roland Becker;Boris Vexler

  • Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing

    Arnd Ro¨sch;Boris Vexler

  • A priori error estimates for elliptic optimal control problems with a bilinear state equation

    Axel Kröner;Boris Vexler

  • A Priori Error Estimates for Finite Element Discretizations of Parabolic Optimization Problems with Pointwise State Constraints in Time

    Dominik Meidner;Rolf Rannacher;Boris Vexler

  • A Priori Error Estimates for the Finite Element Discretization of Elliptic Parameter Identification Problems with Pointwise Measurements

    R. Rannacher;B. Vexler

  • A Priori Mesh Grading for an Elliptic Problem with Dirac Right-Hand Side

    Thomas Apel;Olaf Benedix;Dieter Sirch;Boris Vexler

Frequent Co-Authors

Karl Kunisch
Karl Kunisch University of Graz
Rolf Rannacher
Rolf Rannacher Heidelberg University
Barbara Kaltenbacher
Barbara Kaltenbacher University of Klagenfurt
Eduardo Casas
Eduardo Casas University of Cantabria
Fredi Tröltzsch
Fredi Tröltzsch Technical University of Berlin
Susanne C. Brenner
Susanne C. Brenner Louisiana State University
Christian Meyer
Christian Meyer Greifswald University Hospital
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg

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