Mixed finite element methods for general quadrilateral grids
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Publication:632896
DOI10.1016/j.amc.2011.01.036zbMath1410.76184OpenAlexW1994909438MaRDI QIDQ632896
Publication date: 28 March 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.036
Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
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Cites Work
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- Superconvergence of mixed covolume method for elliptic problems on triangular grids
- Two families of mixed finite elements for second order elliptic problems
- Superconvergence of a mixed covolume method for elliptic problems
- Nonconforming quadrilateral finite elements: a correction
- Shape functions for velocity interpolation in general hexahedral cells
- On the regularity and uniformness conditions on quadrilateral grids
- Global Estimates for Mixed Methods for Second Order Elliptic Equations
- Efficient rectangular mixed finite elements in two and three space variables
- An expanded mixed covolume method for elliptic problems
- Mixed and Hybrid Finite Element Methods
- Superconvergence of Mixed Finite Element Approximations over Quadrilaterals
- Approximation by quadrilateral finite elements
- A General Framework for Constructing and Analyzing Mixed Finite Volume Methods on Quadrilateral Grids: The Overlapping Covolume Case
- Flux Recovery from Primal Hybrid Finite Element Methods
- Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems
- Mixed finite volume method for nonlinear elliptic problems
- QuadrilateralH(div) Finite Elements
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