Variational formulations of transmission problems via FEM, BEM and DtN mappings

DOI10.1016/S0045-7825(99)00197-8zbMath0994.74069OpenAlexW2016975720MaRDI QIDQ1573137

Gabriel N. Gatica

Publication date: 14 October 2002

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0045-7825(99)00197-8

zbMATH Keywords

hyperelastic materialuniquenessweak solvabilitypotential theoryvariational formulationsmixed finite elementsboundary integral equationselastostaticstransmission problemsGalerkin approximationcoupling procedureDirichlet-to-Neumann mappings

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Boundary element methods applied to problems in solid mechanics (74S15) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Boundary element methods for boundary value problems involving PDEs (65N38)

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Optimized weak coupling of boundary element and finite element methods for acoustic scattering, Calculation of acoustic Green's functions using BEM and Dirichlet-to-Neumann-type boundary conditions

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