Finite element method for elliptic problems with edge singularities

DOI10.1016/S0377-0427(99)00062-XzbMath0936.65130OpenAlexW2080044180MaRDI QIDQ1301798

Jean M.-S. Lubuma, Serge Nicaise

Publication date: 3 May 2000

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00062-x

zbMATH Keywords

Fourier transformconvergenceDirichlet problemnumerical resultsfinite elementserror estimateFourier-finite element methodsingular function methodregularizing kernel

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (4)

Integral equations for elliptic problems with edge singularities and applications to the fourier-boundary element method ⋮ \(L^2\)-error estimates for Dirichlet and Neumann problems on anisotropic finite element meshes ⋮ The Fourier-finite element method for the Poisson problem on a non-convex polyhedral cylinder ⋮ Improving the rate of convergence of `high order finite elements' on polygons and domains with cusps

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