Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems

Abstract: 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 -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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems ; volume:23 ; number:2 ; year:2023 ; pages:389-404 ; extent:16
Computational methods in applied mathematics ; 23, Heft 2 (2023), 389-404 (gesamt 16)

Creator
Gimperlein, Heiko
Stephan, Ernst P.

DOI
10.1515/cmam-2022-0120
URN
urn:nbn:de:101:1-2023032914080970072194
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
14.08.2025, 10:51 AM CEST

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Associated

  • Gimperlein, Heiko
  • Stephan, Ernst P.

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