Pointwise Error Estimates and Asymptotic Error Expansion Inequalities for the Finite Element Method on Irregular Grids: Part II. Interior Estimates

DOI10.1137/S0036142997324800zbMath0983.65120OpenAlexW2006453627MaRDI QIDQ2706362

Alfred H. Schatz

Publication date: 19 March 2001

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

Full work available at URL: https://doi.org/10.1137/s0036142997324800

zbMATH Keywords

finite element methodNeumann boundary conditionssuperconvergenceRichardson extrapolationasymptotic error expansionirregular gridsinterior estimatespointwise error estimateselliptic partial differential equation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

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