Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling

DOI10.1007/s00211-011-0414-zzbMath1242.65252OpenAlexW2085192653MaRDI QIDQ664537

Gabriel N. Gatica, George C. Hsiao, Francisco-Javier Sayas

Publication date: 2 March 2012

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-011-0414-z

zbMATH Keywords

finite element methodboundary element methodBielak-MacCamy' couplinginterior obstacleJohnson-Nedelec coupling

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Classical linear elasticity (74B05) 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)

Related Items (18)

Integral equation methods for the Yukawa-Beltrami equation on the sphere ⋮ Classical FEM-BEM coupling methods: nonlinearities, well-posedness, and adaptivity ⋮ On the stability of the non-symmetric BEM/FEM coupling in linear elasticity ⋮ A non-symmetric coupling of boundary elements with the hybridizable discontinuous Galerkin method ⋮ Stability of symmetric and nonsymmetric FEM-BEM couplings for nonlinear elasticity problems ⋮ On the coupling of DPG and BEM ⋮ A non-symmetric coupling of the finite volume method and the boundary element method ⋮ DPG method with optimal test functions for a transmission problem ⋮ Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods ⋮ Further developments on boundary-field equation methods for nonlinear transmission problems ⋮ On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems ⋮ Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces ⋮ Analysis of a non-symmetric coupling of Interior Penalty DG and BEM ⋮ On the Coupling of VEM and BEM in Two and Three Dimensions ⋮ Eigenvalues of the Truncated Helmholtz Solution Operator under Strong Trapping ⋮ On the dual-mixed formulation for an exterior Stokes problem ⋮ Is the one-equation coupling of finite and boundary element methods always stable? ⋮ Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundary integral equations
• On the coupling of boundary integral and finite element methods
• A finite element method for some integral equations of the first kind
• Linear integral equations.
• Coupling of nonconforming finite elements and boundary elements. I: A priori estimates
• On the coupling of boundary integral and mixed finite element methods
• Theoretical aspects of the application of convolution quadrature to scattering of acoustic waves
• The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
• Nonsymmetric coupling of BEM and mixed FEM on polyhedral interfaces
• A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
• Symmetric finite element and boundary integral coupling methods for fluid-solid interaction
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• On the Coupling of Boundary Integral and Finite Element Methods
• Coupling of mixed finite elements and boundary elements
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

This page was built for publication: Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling