Pointwise error estimates for 𝐶⁰ interior penalty approximation of biharmonic problems

DOI10.1090/mcom/3596zbMath1452.65347OpenAlexW3082208047MaRDI QIDQ5130994

Dmitriy Leykekhman

Publication date: 31 October 2020

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3596

zbMATH Keywords

finite element methodGreen's functionbiharmonic equationlocal error estimatesmaximum normpointwise error estimatesinterior penalty

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) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

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An interior maximum norm error estimate for the symmetric interior penalty method on planar polygonal domains, A general superapproximation result

Cites Work

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