Superconvergence of mixed finite element methods for parabolic equations

DOI10.1051/m2an/1987210203271zbMath0621.65116OpenAlexW2464558720MaRDI QIDQ3757329

Maria Cristina J. Squeff

Publication date: 1987

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193505

zbMATH Keywords

superconvergenceasymptotic expansionspost-processingOptimal order error estimatesquasi- projectionsemidiscrete mixed finite element method

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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

Superconvergence for a mixed finite element method for elastic wave propagation in a plane domain ⋮ Superconvergence phenomena in the finite element method ⋮ Superconvergence of an \(H^1\)-Galerkin nonconforming mixed finite element method for a parabolic equation ⋮ Parallel Splitting Positive Definite Mixed Element Method for Parabolic Problem ⋮ Some observations on mixed methods for fully nonlinear parabolic problems in divergence form ⋮ Error analysis for discretizations of parabolic problems using continuous finite elements in time and mixed finite elements in space ⋮ Two-grid method for nonlinear reaction-diffusion equations by mixed finite element methods ⋮ The splitting mixed element method for parabolic equation and its application in chemotaxis model ⋮ Two-Grid method for nonlinear parabolic equations by expanded mixed finite element methods ⋮ Uniform-in-time superconvergence of HDG methods for the heat equation ⋮ Superconvergent discontinuous Galerkin methods for nonlinear parabolic initial and boundary value problems

Cites Work

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• Error estimates for some mixed finite element methods for parabolic type problems
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
• Interior and superconvergence estimates for mixed methods for second order elliptic problems