Dirichlet problems in polyhedral domains. II: Approximation by FEM and BEM

DOI10.1016/0377-0427(94)00050-BzbMath0840.65110OpenAlexW2047157283MaRDI QIDQ1903649

Jean M.-S. Lubuma, Serge Nicaise

Publication date: 30 June 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(94)00050-b

zbMATH Keywords

convergenceDirichlet problemfinite element methodsingularitiesboundary element methodpolyhedral domainsrefined meshes

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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

Integral equations for elliptic problems with edge singularities and applications to the fourier-boundary element method ⋮ Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra II: Mesh Refinements and Interpolation ⋮ Condition numbers of finite element methods on a class of anisotropic meshes ⋮ An anisotropic finite element method on polyhedral domains: Interpolation error analysis ⋮ Some mixed finite element methods on anisotropic meshes ⋮ Local mesh refinement for the discretization of Neumann boundary control problems on polyhedra ⋮ Improving the Rate of Convergence of High-Order Finite Elements on Polyhedra I:A PrioriEstimates ⋮ Weighted Sobolev spaces and regularity for polyhedral domains ⋮ Finite element method for elliptic problems with edge singularities ⋮ Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps

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