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

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Gimperlein, H.; Stephan, E.P.: Coupling of Finite and Boundary Elements for Singularly Nonlinear Transmission and Contact Problems. In: Computational Methods in Applied Mathematics 23 (2023), Nr. 2, S. 389-404. DOI: https://doi.org/10.1515/cmam-2022-0120

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Sum total of downloads: 26




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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 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.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2023
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 17 65.38%
2 image of flag of United States United States 6 23.08%
3 image of flag of Indonesia Indonesia 1 3.85%
4 image of flag of United Kingdom United Kingdom 1 3.85%
5 image of flag of Canada Canada 1 3.85%

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