Natural and postprocessed superconvergence in semilinear problems

DOI10.1002/num.1690070304zbMath0746.65078OpenAlexW2078298552MaRDI QIDQ3978213

Raytcho D. Lazarov, Graham F. Carey, S. S. Chow

Publication date: 25 June 1992

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690070304

zbMATH Keywords

finite element methodsemilinear problemssuperconvergence error estimatesrectangular biquadratic elements

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) 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)

Related Items

Superconvergence analysis of approximate boundary-flux calculations, Superconvergence phenomena in nonlinear two‐point boundary‐value problems, Superconvergence phenomena in the finite element method, A posteriori error estimation of approximate boundary fluxes, Finite element approximation of a nonlinear heat conduction problem in anisotropic media, A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping, Global superconvergence and a posteriori error estimates of the finite element method for second-order quasilinear elliptic problems, Identity for deviations from the exact solution of the problem \( \Lambda^\ast\mathcal{A}\Lambda u + \ell = 0\) and its implications

Cites Work

• Superconvergence analysis of approximate boundary-flux calculations