Is the one-equation coupling of finite and boundary element methods always stable?

DOI10.1002/zamm.201100188zbMath1281.65150OpenAlexW2100491925MaRDI QIDQ2863158

Günther Of, Olaf Steinbach

Publication date: 21 November 2013

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201100188

zbMATH Keywords

numerical examplefinite elementsboundary elementsnon-symmetric couplingdouble layer integral operatorfree space transmission problem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (11)

Optimized weak coupling of boundary element and finite element methods for acoustic scattering ⋮ 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 ⋮ Developments on the stability of the non-symmetric coupling of finite and boundary elements ⋮ Non-symmetric isogeometric FEM-BEM couplings ⋮ A non-symmetric coupling of the finite volume method and the boundary element method ⋮ A linear Uzawa-type FEM-BEM solver for nonlinear transmission problems ⋮ An Adaptive Nonsymmetric Finite Volume and Boundary Element Coupling Method for a Fluid Mechanics Interface Problem ⋮ On the ellipticity of coupled finite element and one-equation boundary element methods for boundary value problems ⋮ Optimal preconditioning for the symmetric and nonsymmetric coupling of adaptive finite elements and boundary elements

Cites Work

• Relaxing the hypotheses of Bielak-MacCamy's BEM-FEM coupling
• Experimental convergence rates for various couplings of boundary and finite elements
• On the coupling of boundary integral and finite element methods
• A finite element method for some integral equations of the first kind
• The Validity of Johnson–Nédélec's BEM–FEM Coupling on Polygonal Interfaces
• A Note on the Stable One-Equation Coupling of Finite and Boundary Elements
• On C. Neumann's method for second-order elliptic systems in domains with non-smooth boundaries

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