Asymptotic expansions and \(L^{\infty}\)-error estimates for mixed finite element methods for second order elliptic problems

DOI10.1007/BF01396046zbMath0676.65109OpenAlexW73179330MaRDI QIDQ1122964

Junping Wang

Publication date: 1989

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133361

zbMATH Keywords

asymptotic expansionsRichardson extrapolationfinite element spacesmixed finite element approximationsBDM spaceserror corrected method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

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Cites Work

• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Two families of mixed finite elements for second order elliptic problems
• Über die punktweise Konvergenz finiter Elemente
• The finite element method with Lagrangian multipliers
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Error analysis in $L^p \leqslant p \leqslant \infty $, for mixed finite element methods for linear and quasi-linear elliptic problems
• Sharp Maximum Norm Error Estimates for Finite Element Approximations of the Stokes Problem in 2 - D
• Finite Element Methods for Navier-Stokes Equations
• Sharp maximum norm error estimates for general mixed finite element approximations to second order elliptic equations
• Polynomial Approximation of Functions in Sobolev Spaces
• Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
• Optimal L ∞ Error Estimates for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• $L_\infty $-convergence of saddle-point approximations for second order problems
• Interior Maximum Norm Estimates for Finite Element Methods
• An analysis of the convergence of mixed finite element methods
• An Optimal $L_\infty $ Error Estimate for Galerkin Approximations to Solutions of Two-Point Boundary Value Problems
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