Two variational formulations for elastic domain decomposition problems solved by SGBEM enforcing coupling conditions in a weak form

DOI10.1016/j.enganabound.2010.05.002zbMath1259.74071OpenAlexW2000136805MaRDI QIDQ1944446

Federico París, Vladislav Mantič, Roman Vodička

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.05.002

zbMATH Keywords

variational principlesdomain decompositionboundary integral equationssymmetric Galerkin boundary element methodsaddle pointpotential energymin-max principlenon-matching meshes

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Boundary element methods applied to problems in solid mechanics (74S15) Energy minimization in equilibrium problems in solid mechanics (74G65)

Related Items

An energy based formulation of a quasi-static interface damage model with a multilinear cohesive law ⋮ A quasi-static interface damage model with cohesive cracks: SQP-SGBEM implementation ⋮ Coupling of BEM subdomains -- BETI applied to collocation BEM with mixed basis functions ⋮ Isogeometric FE-BE method with non-conforming coupling interface for solving elasto-thermoviscoelastic problems ⋮ Frictionless contact-detachment analysis: iterative linear complementarity and quadratic programming approaches ⋮ The nsBETI method: an extension of the FETI method to non-symmetrical BEM-FEM coupled problems ⋮ Energetic versus maximally-dissipative local solutions of a quasi-static rate-independent mixed-mode delamination model ⋮ Quasistatic normal-compliance contact problem of visco-elastic bodies with Coulomb friction implemented by QP and SGBEM ⋮ Revisited mixed-value method via symmetric BEM in the substructuring approach

Uses Software

• SERBA
• BEAN

Cites Work

• Coupling finite and boundary element methods for static and dynamic elastic problems with non-conforming interfaces
• Domain decomposition in the symmetric boundary element analysis
• On solvability of a boundary integral equation of the first kind for Dirichlet boundary value problems in plane elasticity
• A variational approach to boundary element elastodynamic analysis and extension to multidomain problems
• Variational boundary-integral-equation approach to unilateral contact problems in elasticity
• On invertibility of elastic single-layer potential operator
• Domain decomposition methods via boundary integral equations
• A symmetric Galerkin BEM variational framework for multi-domain interface problems
• Numerical solution of saddle point problems
• On the removal of the non-uniqueness in the solution of elastostatic problems by symmetric Galerkin BEM
• Symmetric Galerkin Boundary Element Method
• Mixed and Hybrid Finite Element Methods
• A fully symmetric multi-zone Galerkin boundary element method
• Symmetric Galerkin boundary integral formulation for interface and multi-zone problems
• Variational Formulations for Coupled BE/FE Methods in Elastostatics
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