Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems

DOI10.1007/s10483-012-1547-8zbMath1239.65071OpenAlexW2377492844MaRDI QIDQ764630

Chao Xu, Dong-Yang Shi

Publication date: 13 March 2012

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-012-1547-8

zbMATH Keywords

numerical resultsoptimal error estimatesPoisson equationCrouzeix-Raviart elementfinite element method (FEM)second order elliptic problemanisotropic grids

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (2)

The Crouzeix-Raviart type nonconforming finite element method for the nonstationary Navier-Stokes equations on anisotropic meshes ⋮ A new low order least squares nonconforming characteristics mixed finite element method for Burgers' equation

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