Predictor-corrector \(p\)- and \(h p\)-versions of the finite element method for Poisson's equation in polygonal domains

DOI10.1016/j.cma.2018.01.027zbMath1440.65225OpenAlexW2790806933MaRDI QIDQ2310875

Boniface Nkemzi, Sosthene Tsamene Tanekou

Publication date: 7 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2018.01.027

zbMATH Keywords

singularitiesfinite element methodsPoisson equationa priori error estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Variational methods applied to PDEs (35A15) 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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Singularities and regularity of stationary Stokes and Navier-Stokes equations on polygonal domains and their treatments ⋮ Singular solutions of the Poisson equation at edges of three‐dimensional domains and their treatment with a predictor–corrector finite element method ⋮ The Fourier-finite-element method for Poisson's equation in three-dimensional axisymmetric domains with edges: computing the edge flux intensity functions ⋮ The coefficients in the asymptotic expansion of solutions of second‐order hyperbolic problems in polygonal domains

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