• Media type: Text; E-Article
  • Title: Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems
  • Contributor: Gimperlein, Heiko [Author]; Stephan, Ernst P. [Author]
  • imprint: Berlin : De Gruyter, 2023
  • Published in: Computational Methods in Applied Mathematics 23 (2023), Nr. 2 ; Computational Methods in Applied Mathematics
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.15488/14773; https://doi.org/10.1515/cmam-2022-0120
  • ISSN: 1609-4840
  • Keywords: Nonlinear Elasticity ; A Posteriori Error Estimates ; A Priori Error Estimates ; Boundary Element Method ; FE-BE Coupling
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  • Description: This article discusses the well-posedness and error analysis of the coupling of finite and boundary elements for interface problems in nonlinear elasticity. It concerns p-Laplacian-type Hencky materials with an unbounded stress-strain relation, as they arise in the modelling of ice sheets, non-Newtonian fluids or porous media. We propose a functional analytic framework for the numerical analysis and obtain a priori and a posteriori error estimates for Galerkin approximations to the resulting boundary/domain variational inequality.
  • Access State: Open Access