Superconvergence of least-squares mixed finite element for symmetric elliptic problems.

DOI10.1016/j.apnum.2003.09.008zbMath1042.65082OpenAlexW2058544149MaRDI QIDQ1427208

Yanping Chen, Manping Zhang

Publication date: 14 March 2004

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2003.09.008

zbMATH Keywords

superconvergenceelliptic problemsleast squares mixed finite-element

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 (5)

Superconvergence analysis of a full-discrete combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem ⋮ Superconvergence of a combined mixed finite element and discontinuous Galerkin approximation for an incompressible miscible displacement problem ⋮ Superconvergence of a combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem ⋮ Superconvergence of a full-discrete combined mixed finite element and discontinuous Galerkin method for a compressible miscible displacement problem ⋮ Superconvergence of the split least‐squares method for second‐order hyperbolic equations

Cites Work

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• Superconvergence for rectangular mixed finite elements
• Superconvergence of mixed finite element methods on rectangular domains
• Local error estimation and adaptive remeshing scheme for least-squares mixed finite elements
• Convergence analysis of least-squares mixed finite elements
• On the error estimate of \(h\)-convergence in quadrilateral elements
• Least-squares mixed finite element methods for non-selfadjoint elliptic problems. I: Error estimates
• Global Estimates for Mixed Methods for Second Order Elliptic Equations
• Efficient rectangular mixed finite elements in two and three space variables
• Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
• Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
• Maximum norm error estimates in the finite element method with isoparametric quadratic elements and numerical integration
• Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
• Least-Squares Mixed Finite Elements for Second-Order Elliptic Problems
• First-Order System Least Squares for Second-Order Partial Differential Equations: Part I
• Analysis of Some Quadrilateral Nonconforming Elements for Incompressible Elasticity
• Error estimates for least-squares mixed finite elements

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