Superconvergence and Gradient Recovery of Linear Finite Elements for the Laplace–Beltrami Operator on General Surfaces

DOI10.1137/100785016zbMath1218.65122OpenAlexW2077443802WikidataQ125097119 ScholiaQ125097119MaRDI QIDQ3005004

Publication date: 6 June 2011

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/100785016

zbMATH Keywords

numerical examples superconvergence Laplace-Beltrami operator surface finite element method gradient recovery method

Mathematics Subject Classification ID

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) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

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