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Mathematics

D-Index
34
Citations
6684
World Ranking
2874
National Ranking
51

Overview

Stefan A. Sauter is affiliated with the University of Zurich in Switzerland and focuses research on the fields of Engineering and Mathematics. Their work spans several subfields including Computational Mechanics, Mechanics of Materials, Electrical and Electronic Engineering, Computational Theory and Mathematics, and Mathematical Physics.

The main research topics covered by Stefan A. Sauter include:

  • Advanced Numerical Methods in Computational Mathematics
  • Numerical methods in engineering
  • Electromagnetic Simulation and Numerical Methods
  • Advanced Mathematical Modeling in Engineering
  • Numerical methods for differential equations
  • Numerical methods in inverse problems
  • Computational Fluid Dynamics and Aerodynamics

Recent papers authored or coauthored by Stefan A. Sauter illustrate contributions to numerical analysis and stability in finite element methods and partial differential equations. Selected works include:

  • On the inf-sup stability of Crouzeix-Raviart Stokes elements in 3D, 2022, Mathematics of Computation
  • Critical functions and inf-sup stability of Crouzeix-Raviart elements, 2022, Computers & Mathematics with Applications
  • Crouzeix-Raviart triangular elements are inf-sup stable, 2022, Mathematics of Computation
  • Wavenumber-Explicit hp-FEM Analysis for Maxwell's Equations with Impedance Boundary Conditions, 2023, Foundations of Computational Mathematics
  • Space-Time Methods for Time-Dependent Partial Differential Equations, 2023, Oberwolfach Reports

Frequent collaborators in research include:

  • Céline Torres
  • Jens Markus Melenk
  • Benedikt Gräßle
  • Nis-Erik Bohne
  • Ralf Hiptmair

Stefan A. Sauter has published multiple papers in several notable academic venues. The most frequent publication venues are:

  • arXiv (Cornell University)
  • Mathematics of Computation
  • Computers & Mathematics with Applications
  • Oberwolfach Reports
  • IMA Journal of Numerical Analysis

Their contributions to academic books include a publication with EMS tracts in mathematics titled Accuracy of Mathematical Models released in 2020.

Best Publications

  • Boundary Element Methods

    Stefan A. Sauter;Christoph Schwab

  • Is the Pollution Effect of the FEM Avoidable for the Helmholtz Equation Considering High Wave Numbers

    Ivo M. Babuska;Stefan A. Sauter

  • A Generalized Finite Element Method for solving the Helmholtz equation in two dimensions with minimal pollution

    Ivo M. Babuska;Frank Ihlenburg;Ellen T. Paik;Stefan A. Sauter

  • On H2-Matrices

    Wolfgang Hackbusch;Boris N. Khoromskij;Stefan A. Sauter

  • Wavenumber Explicit Convergence Analysis for Galerkin Discretizations of the Helmholtz Equation

    J. M. Melenk;S. Sauter

  • Convergence analysis for finite element discretizations of the Helmholtz equation with Dirichlet-to-Neumann boundary conditions

    Jens Markus Melenk;Stefan A. Sauter

  • Composite finite elements for the approximation of PDEs on domains with complicated micro-structures

    W. Hackbusch;S.A. Sauter

  • Rapid Solution of the Wave Equation in Unbounded Domains

    L. Banjai;S. Sauter

  • Efficient automatic quadrature in 3-d Galerkin BEM

    Stefan Erichsen;Stefan A. Sauter

  • General DG-Methods for Highly Indefinite Helmholtz Problems

    J. M. Melenk;A. Parsania;S. Sauter

  • Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method

    Wolfgang Dahmen;Birgit Faermann;Ivan G. Graham;Wolfgang Hackbusch

  • Finite elements on degenerate meshes: inverse-type inequalities and applications

    Ivan G. Graham;Wolfgang Hackbusch;Stefan A. Sauter

  • Quadrature for \(hp\)-Galerkin BEM in \({\hbox{\sf l\kern-.13em R}}^3\)

    Stefan A. Sauter;Christoph Schwab

  • Variable order panel clustering

    S. A. Sauter

  • Reliability of infinite element methods for the numerical computation of waves

    F. Ihlenburg;I. Babuška;S. Sauter

  • On the efficient use of the Galerkin-method to solve Fredholm integral equations

    Wolfgang Hackbusch;Stefan A. Sauter

  • Stability and finite element error analysis for the Helmholtz equation with variable coefficients

    Ivan George Graham;Stefan A Sauter

  • Composite finite elements for 3D image based computing

    Florian Liehr;Tobias Preusser;Martin Rumpf;Stefan Sauter

  • Use of tensor formats in elliptic eigenvalue problems

    Wolfgang Hackbusch;Boris N. Khoromskij;Stefan A. Sauter;Eugene E. Tyrtyshnikov

  • On numerical cubatures of nearly singular surface integrals arising in BEM collocation

    Wolfgang Hackbusch;Stefan A. Sauter

  • Elliptic Differential Equations

    Stefan A. Sauter;Christoph Schwab

Frequent Co-Authors

Wolfgang Hackbusch
Wolfgang Hackbusch Max Planck Institute for Mathematics in the Sciences
Ivan G. Graham
Ivan G. Graham University of Bath
Patrick Ciarlet
Patrick Ciarlet École Nationale Supérieure de Techniques Avancées
Ivo Babuška
Ivo Babuška The University of Texas at Austin
Boris N. Khoromskij
Boris N. Khoromskij Max Planck Institute for Mathematics in the Sciences
Philippe G. Ciarlet
Philippe G. Ciarlet City University of Hong Kong
Martin Rumpf
Martin Rumpf University of Bonn
Dietrich Braess
Dietrich Braess Ruhr University Bochum

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