Analysis of a non-standard mixed finite element method with applications to superconvergence

DOI10.1007/s10492-009-0014-8zbMath1212.65441OpenAlexW2005628797MaRDI QIDQ993295

Jan H. Brandts

Publication date: 10 September 2010

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/37817

zbMATH Keywords

least-squares mixed finite element methodsuperclosenessnon-standard mixed finite element method

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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 (1)

The gradient superconvergence of the finite volume method for a nonlinear elliptic problem of nonmonotone type.

Cites Work

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• A note on least-squares mixed finite elements in relation to standard and mixed finite elements
• Mixed and Hybrid Finite Element Methods
• Finite Element Methods of Least-Squares Type
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Gradient superconvergence on uniform simplicial partitions of polytopes
• Error estimates for least-squares mixed finite elements

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