Singular solutions of the Poisson equation at edges of three‐dimensional domains and their treatment with a predictor–corrector finite element method

DOI10.1002/num.22555OpenAlexW3089963516WikidataQ114235259 ScholiaQ114235259MaRDI QIDQ6088482

Boniface Nkemzi, Michael Jung

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22555

zbMATH Keywords

finite element methodPoisson's equationa priori error estimateselliptic boundary value problemedge singularities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Rate of convergence, degree of approximation (41A25) Solutions to PDEs in closed form (35C05) Singularity in context of PDEs (35A21)

Cites Work

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• Singularities of the Laplacian at corners and edges of three-dimensional domains and their treatment with finite element methods
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