A Posteriori Error Estimates and Adaptive Mesh Refinement for the Coupling of the Finite Volume Method and the Boundary Element Method

DOI10.1137/110854771zbMath1276.65070OpenAlexW2041410099MaRDI QIDQ2845612

Christoph Erath

Publication date: 2 September 2013

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/110854771

zbMATH Keywords

finite volume methodboundary element methodnumerical experimentsadaptive mesh refinementa posteriori error estimatesLaplaciancouplingsingular problemslinear elliptic equationsboundary/interior layer problems

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Boundary element methods for boundary value problems involving PDEs (65N38) Finite volume methods for boundary value problems involving PDEs (65N08)

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A new conservative numerical scheme for flow problems on unstructured grids and unbounded domains ⋮ An adaptive finite volume method for the diffraction grating problem with the truncated DtN boundary condition ⋮ A nonconforming a posteriori estimator for the coupling of cell-centered finite volume and boundary element methods ⋮ A non-symmetric coupling of the finite volume method and the boundary element method ⋮ An Adaptive Nonsymmetric Finite Volume and Boundary Element Coupling Method for a Fluid Mechanics Interface Problem ⋮ Adaptive Vertex-Centered Finite Volume Methods with Convergence Rates ⋮ Comparison of Adaptive Non-symmetric and Three-Field FVM-BEM Coupling

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