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Ernst P. Stephan

Ernst P. Stephan

D-Index & Metrics

Mathematics

D-Index
41
Citations
6673
World Ranking
1917
National Ranking
114

Overview

Ernst P. Stephan is affiliated with the University of Hannover in Germany and specializes in engineering, focusing on numerical methods and computational mechanics. Their research outputs encompass multiple subfields, including mechanics of materials, computational mechanics, electrical and electronic engineering, computational theory and mathematics, as well as atomic and molecular physics and optics.

Their scholarly contributions concentrate primarily on numerical methods in engineering and advanced numerical methods in computational mathematics. Additional topics present in their work include electromagnetic simulation and numerical methods, contact mechanics and variational inequalities, advanced mathematical modeling in engineering, electromagnetic scattering and analysis, and metal forming simulation techniques.

Frequent collaborators in their work include:

  • Heiko Gimperlein
  • Ceyhun Özdemir
  • Lothar Banz
  • A. Aimi
  • Giulia Di Credico

Stephan has published in a range of scientific venues, with multiple contributions to Computational Methods in Applied Mathematics, arXiv (Cornell University), Applied Numerical Mathematics, Numerische Mathematik, and Computers & Mathematics with Applications.

Notable recent papers authored or coauthored by Ernst P. Stephan include:

  • "A time-dependent FEM-BEM coupling method for fluid-structure interaction in 3d," 2020, Applied Numerical Mathematics
  • "Higher-order time domain boundary elements for elastodynamics: graded meshes and hp versions," 2023, Numerische Mathematik
  • "A priori and a posteriori error estimates for hp-FEM for a Bingham type variational inequality of the second kind," 2022, Computers & Mathematics with Applications
  • "The saturation assumption yields optimal convergence of two-level adaptive BEM," 2020, Applied Numerical Mathematics
  • "FE-BE coupling for a transmission problem involving microstructure," 2021, Journal of Applied and Numerical Optimization

Best Publications

  • A direct boundary integral equation method for transmission problems

    Martin Costabel;Ernst Stephan

  • Boundary integral equations for screen problems in IR3

    Ernst P. Stephan

  • Boundary integral equations for mixed boundary value problems in polygonal domains and Galerkin approximation

    Martin Costabel;Ernst Stephan

  • On the integral equation method for the plane mixed boundary value problem of the Laplacian

    W. L. Wendland;E. Stephan;G. C. Hsiao;E. Meister

  • Coupling of finite and boundary element methods for an elastoplastic interface problem

    Martin Costabel;Ernst P. Stephan

  • A hypersingular boundary integral method for two-dimensional screen and crack problems

    W. L. Wendland;E. P. Stephan

  • An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems

    Ernst P. Stephan;Wolfgang L. Wendland

  • Remarks to Galerkin and least squares methods with finite elements for general elliptic problems

    Ernst Stephan;Wolfgang Wendland

  • A posteriori error estimates for boundary element methods

    Carsten Carstensen;Ernst P. Stephan

  • Adaptive coupling of boundary elements and finite elements

    Carsten Carstensen;Ernst P. Stephan

  • An improved boundary element Galerkin method for three-dimensional crack problems

    Martin Costabel;Ernst P. Stephan

  • Decompositions in Edge and Corner Singularities for the Solution of the Dirichlet Problem of the Laplacian in a Polyhedron

    T. V. Petersdorff;E. P. Stephan

  • A posteriori error estimate and h-adaptive algorithm on surfaces for Symm's integral equation

    Carsten Carstensen;Matthias Maischak;Ernst P. Stephan

  • Adaptive Boundary Element Methods for Some First Kind Integral Equations

    Carsten Carstensen;Ernst P. Stephan

  • On the Convergence of Collocation Methods for Boundary Integral Equations on Polygons

    Martin Costabel;Ernst P. Stephan

  • On the Convergence of the p-Version of the Boundary Element Galerkin Method.

    E. P. Stephan;M. Suri

  • Regularity of mixed boundary value problems in ℝ3 and boundary element methods on graded meshes

    T. Von Petersdorff;E. P. Stephan

  • Additive schwarz methods for the H-version boundary element method

    Thanh Tran;Ernst P. Stephan

  • Solution procedures for three-dimensional eddy current problems

    R.C. MacCamy;Ernst Stephan;Ernst Stephan

  • Two-level methods for the single layer potential in R 3

    P. Mund;E. P. Stephan;J. Weiße

Frequent Co-Authors

Wolfgang L. Wendland
Wolfgang L. Wendland University of Stuttgart
Martin Costabel
Martin Costabel University of Rennes
Carsten Carstensen
Carsten Carstensen Humboldt-Universität zu Berlin
Gabriel N. Gatica
Gabriel N. Gatica University of Concepción
Ian H. Sloan
Ian H. Sloan University of New South Wales
Ivo Babuška
Ivo Babuška The University of Texas at Austin

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