H1‐superconvergence of finite difference method based on Q1‐element on quasi‐uniform mesh for the 3D Poisson equation

DOI10.1002/num.22386zbMath1450.65137OpenAlexW2945197905MaRDI QIDQ4971295

Ruijian He, Xinlong Feng, Zhang-Xin Chen

Publication date: 12 October 2020

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

Full work available at URL: https://doi.org/10.1002/num.22386

zbMATH Keywords

finite element methodfinite difference methodquasi-uniform mesh3D Poisson equation\(H^1\)-superconvergence\(Q_1\)-element

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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) Finite difference methods for boundary value problems involving PDEs (65N06)

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