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Title: | FE–BE coupling for a transmission problem involving microstructure |
Authors: | Gimperlein, H Maischak, M Stephan, EP |
Keywords: | interface problem;double–well potential;FE-BE coupling |
Issue Date: | 1-Aug-2021 |
Publisher: | Biemdas |
Citation: | Gimperlein, H., Maischak, M. and Stephan, E.P. (2021) 'FE–BE coupling for a transmission problem involving microstructure', Journal of Applied and Numerical Optimization, 3 (2), pp. 315 - 331. doi: 10.23952/jano.3.2021.2.06. |
Abstract: | We analyze a finite element/boundary element procedure for a non-convex contact problem for the double-well potential. After relaxing the associated functional, the degenerate minimization problem is reduced to a boundary/domain variational inequality, a discretized saddle point formulation of which may then be solved numerically. The convergence of the Galerkin approximations to certain macroscopic quantities and a corresponding a posteriori estimate for the approximation error are discussed. Numerical results illustrate the performance of the proposed method. |
URI: | https://bura.brunel.ac.uk/handle/2438/29092 |
DOI: | https://doi.org/10.23952/jano.3.2021.2.06 |
ISSN: | 2562-5527 |
Other Identifiers: | ORCiD: Matthias Maischak https://orcid.org/0000-0002-9129-7377 |
Appears in Collections: | Dept of Mathematics Research Papers |
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