Some a priori error estimates with respect to \(H^{\theta}\) norms, \(0 <\theta < 1\), for the \(h\)-extension of the finite element method in two dimensions

DOI10.1016/j.apnum.2004.07.005zbMath1068.65129OpenAlexW2078192733MaRDI QIDQ1763632

Xianqiang Yang

Publication date: 22 February 2005

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2004.07.005

zbMATH Keywords

convergenceGalerkin methodfinite element methoda priori error estimatessecond-order elliptic equation\(h\)-extensionfractional order norm

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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