Global superconvergence of simplified hybrid combinations for elliptic equations with singularities. I: Basic theorem

zbMath0962.65088MaRDI QIDQ1583673

Zi Cai Li

Publication date: 14 June 2001

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

finite element methodnumerical experimentserror boundsRitz-Galerkin methodglobal superconvergenceelliptic boundary value problems with singularities

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) PDEs with low regular coefficients and/or low regular data (35R05)

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Global superconvergence of simplified hybrid combinations of the Ritz--Galerkin and FEMs for elliptic equations with singularities. II: Lagrange elements and Adini's elements

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