Superconvergence of mixed covolume method on quadrilateral grids for elliptic problems
DOI10.1007/s11424-011-9208-8zbMath1307.65150OpenAlexW2047448615MaRDI QIDQ488906
Publication date: 27 January 2015
Published in: Journal of Systems Science and Complexity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11424-011-9208-8
superconvergencenumerical experimentquadrilateral gridssecond-order elliptic equationmixed covolume method
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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)
Related Items (3)
Cites Work
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- Superconvergence for rectangular mixed finite elements
- Superconvergence of mixed covolume method for elliptic problems on triangular grids
- Superconvergence analysis of the nonconforming quadrilateral linear-constant scheme for Stokes equations
- Finite element methods (Part 1)
- Superconvergence and a posteriori error estimation for triangular mixed finite elements
- Superconvergence of a mixed covolume method for elliptic problems
- High order finite volume methods for singular perturbation problems
- Superconvergence and Extrapolation for Mixed Finite Element Methods on Rectangular Domains
- Superconvergence of the Velocity Along the Gauss Lines in Mixed Finite Element Methods
- Mixed and Hybrid Finite Element Methods
- Mixed Covolume Methods for Elliptic Problems on Triangular Grids
- A general mixed covolume framework for constructing conservative schemes for elliptic problems
- Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
- A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
- Error estimates in $L^2$, $H^1$ and $L^\infty$ in covolume methods for elliptic and parabolic problems: A unified approach
- A New Superconvergence for Mixed Finite Element Approximations
- Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
- Mixed Covolume Methods on Rectangular Grids For Elliptic Problems
- The Mathematical Theory of Finite Element Methods
- Superconvergence for Control‐Volume Mixed Finite Element Methods on Rectangular Grids
- Superconvergence of the Velocity in Mimetic Finite Difference Methods on Quadrilaterals
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