High effective finite element algorithm for elliptic partial differential equation

DOI10.1016/j.amc.2006.09.080zbMath1114.65359OpenAlexW2074416908WikidataQ115361844 ScholiaQ115361844MaRDI QIDQ883990

Wen-ming He

Publication date: 12 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.09.080

zbMATH Keywords

numerical examplessuperconvergencePoisson equationfinite element algorithmGreen functionelliptic partial differential problem

Mathematics Subject Classification ID

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)

Cites Work

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• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
• A new superconvergence and extrapolation for second order triangular element
• A filter method for solving nonlinear complementarity problems
• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• Interior Maximum-Norm Estimates for Finite Element Methods, Part II
• ISOLATION OF SINGULARITIES OF THE GREEN'S FUNCTION

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