Superconvergence analysis of flux computations for nonlinear problems

DOI10.1017/S0004972700017536zbMath0676.65096OpenAlexW1968727588MaRDI QIDQ3831990

S. S. Chow, Raytcho D. Lazarov

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017536

zbMATH Keywords

semilinear parabolic problemserror estimatesfinite element methodssuperconvergenceflux calculation

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Superconvergence phenomena in the finite element method ⋮ Accurate computation of the field in Pippard's nonlocal superconductivity model ⋮ 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

Cites Work

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• Total Flux Estimates for a Finite-Element Approximation of Elliptic Equations
• Superconvergence of the gradient for quadratic triangular finite elements
• A Galerkin Procedure for Estimating the Flux for Two-Point Boundary Value Problems
• A Unified Theory of Superconvergence for Galerkin Methods for Two-Point Boundary Problems
• A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations

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