Numerical comparison of robustness of some reduction methods in rough grids
DOI10.1002/num.21873zbMath1308.76167OpenAlexW1590022832MaRDI QIDQ5175792
Jiangyong Hou, Shuyu Sun, Zhang-Xin Chen
Publication date: 25 February 2015
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.21873
hybrid methodssymmetricnonsymmetricdistorted meshmultipoint flux mixed finite element methodmultipoint flux approximation\(\text{BDM}_{1}\)broken \(\text{RT}^{\frac{1}{2}}\)MPFA-type mimetic finite difference method
Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) 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
- Unnamed Item
- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- From face to element unknowns by local static condensation with application to nonconforming finite elements
- Equivalence between mixed finite element and multi-point finite volume methods
- Robust convergence of multi point flux approximation on rough grids
- Local flux mimetic finite difference methods
- A new formulation of the mixed finite element method for solving elliptic and parabolic PDE with triangular elements
- On the finite volume reformulation of the mixed finite element method for elliptic and parabolic PDE on triangles.
- An introduction to multipoint flux approximations for quadrilateral grids
- Relationships among some locally conservative discretization methods which handle discontinuous coefficients
- Enriched multi-point flux approximation for general grids
- A Multipoint Flux Mixed Finite Element Method on Hexahedra
- Convergence of the multipoint flux approximation L-method for homogeneous media on uniform grids
- Convergence of multipoint flux approximations on quadrilateral grids
- Equivalence between lowest-order mixed finite element and multi-point finite volume methods on simplicial meshes
- Geometrical interpretation of the multi-point flux approximation L-method
- A compact multipoint flux approximation method with improved robustness
- Hybrid and multi-point formulations of the lowest-order mixed methods for Darcy's flow on triangles
- The G method for heterogeneous anisotropic diffusion on general meshes
- Mixed and Hybrid Finite Element Methods
- Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- From mixed finite elements to finite volumes for elliptic PDEs in two and three dimensions
- MIXED FINITE ELEMENT METHODS: IMPLEMENTATION WITH ONE UNKNOWN PER ELEMENT, LOCAL FLUX EXPRESSIONS, POSITIVITY, POLYGONAL MESHES, AND RELATIONS TO OTHER METHODS
- A UNIFIED APPROACH TO MIMETIC FINITE DIFFERENCE, HYBRID FINITE VOLUME AND MIXED FINITE VOLUME METHODS
- A Multipoint Flux Mixed Finite Element Method
- Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes
- Numerical convergence of the MPFA O‐method and U‐method for general quadrilateral grids
- Finite Element Methods and Their Applications
- On the convergence of the multi‐point flux approximation O‐method: Numerical experiments for discontinuous permeability
- A FAMILY OF MIMETIC FINITE DIFFERENCE METHODS ON POLYGONAL AND POLYHEDRAL MESHES
- Control-volume discretization method for quadrilateral grids with faults and local refinements
