Abstract
Two original approaches for the solution of elastic boundary value problems with domain decomposition (DDBVP) using the symmetric Galerkin boundary element method (SGBEM) are presented. Each approach is based on a variational principle, a difference between them consisting in the treatment of the coupling conditions which connect the solutions through an interface. The computer codes developed are able to deal with curved interfaces in a domain decomposition problem discretized by nonmatching meshes of linear elements along the interfaces. The effectiveness of the methods is documented by a numerically solved example.
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References
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R. Vodička, V. Mantič, and F. París, “Numerical Methods in Continuum Mechanics,” in 4th Workshop on Trefftz Methods (CEACM, 2005).
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Vodička, R., Mantič, V. & París, F. Two variational approaches for domain decomposition problems solved by SGBEM with nonconforming discretizations. Phys. Part. Nuclei Lett. 5, 227–230 (2008). https://doi.org/10.1134/S1547477108030199
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DOI: https://doi.org/10.1134/S1547477108030199