Interior and superconvergence estimates for mixed methods for second order elliptic problems

DOI10.1051/m2an/1985190303971zbMath0613.65110OpenAlexW2521280015MaRDI QIDQ4720733

Jim jun. Douglas, Fabio Augusto Milner

Publication date: 1985

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

Full work available at URL: https://eudml.org/doc/193453

zbMATH Keywords

Sobolev spacesmixed finite element methodssuperconvergencesecond ordersemi-linearinterior error estimates

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) 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

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• Mixed finite elements in \(\mathbb{R}^3\)
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Mixed Finite Element Methods for Quasilinear Second-Order Elliptic Problems
• Interior Estimates for Ritz-Galerkin Methods
• Higher Order Local Accuracy by Averaging in the Finite Element Method
• $L_\infty $-convergence of saddle-point approximations for second order problems