A Comparison of Finite Element Error Bounds for Poisson's Equation

DOI10.1093/imanum/1.1.95zbMath0452.65065OpenAlexW2014773097MaRDI QIDQ3899438

Robert E. Barnhill, James H. Brown, A. R. Mitchell

Publication date: 1981

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/1.1.95

zbMATH Keywords

finite element methodPoisson's equationerror boundstest problemspiecewise bilinear elements over rectanglespiecewise linear elements over triangles

Mathematics Subject Classification ID

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)

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