Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids
From MaRDI portal
Publication:2027143
DOI10.1007/s10596-020-09979-wzbMath1460.65153OpenAlexW3048339195MaRDI QIDQ2027143
Andrés Arrarás, Laura Portero, Carmen Rodrigo, Francisco José Gaspar
Publication date: 25 May 2021
Published in: Computational Geosciences (Search for Journal in Brave)
Full work available at URL: https://hdl.handle.net/2454/39434
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Flows in porous media; filtration; seepage (76S05)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- \(p\)-multigrid solution of high-order discontinuous Galerkin discretizations of the compressible Navier-Stokes equations
- Solving diffusion equations with rough coefficients in rough grids
- Mimetic finite difference method
- Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems
- Black box multigrid for nonsymmetric problems
- Robust convergence of multi point flux approximation on rough grids
- Spectral element multigrid. II: Theoretical justification
- Local flux mimetic finite difference methods
- Two families of mixed finite elements for second order elliptic problems
- Cell-centered multigrid for interface problems
- Spectral element multigrid. I: Formulation and numerical results
- Differencing of the diffusion equation in Lagrangian hydrodynamic codes
- Black box multigrid
- Vertex-centered and cell-centered multigrid for interface problems
- Finite volume discretization with imposed flux continuity for the general tensor pressure equation
- Control-volume mixed finite element methods
- The numerical solution of diffusion problems in strongly heterogeneous non-isotropic materials
- A triangle based mixed finite element -- finite volume technique for modeling two phase flow through porous media
- Mimetic finite difference methods for diffusion equations
- An introduction to multipoint flux approximations for quadrilateral grids
- Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids
- Towards algebraic multigrid for elliptic problems of second order
- Algebraic multigrid by smoothed aggregation for second and fourth order elliptic problems
- Discretization on non-orthogonal, quadrilateral grids for inhomogeneous, anisotropic media
- Relationships among some locally conservative discretization methods which handle discontinuous coefficients
- Error analysis of piecewise constant pressure approximations of Darcy's law
- Convergence of a symmetric MPFA method on quadrilateral grids
- On Some Mixed Finite Element Methods with Numerical Integration
- Convergence of multipoint flux approximations on quadrilateral grids
- Multigrid Methods for Nonconforming Finite Element Methods
- Convergence of MPFA on triangulations and for Richards' equation
- Mimetic finite differences for elliptic problems
- Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- The Multi-Grid Method for the Diffusion Equation with Strongly Discontinuous Coefficients
- Mixed and Hybrid Finite Element Methods
- Multi-Level Adaptive Solutions to Boundary-Value Problems
- An Approach to Statistical Spatial-Temporal Modeling of Meteorological Fields
- Rigorous Quantitative Analysis of Multigrid, I. Constant Coefficients Two-Level Cycle with $L_2 $-Norm
- Enhanced Cell-Centered Finite Differences for Elliptic Equations on General Geometry
- Discretization on Unstructured Grids for Inhomogeneous, Anisotropic Media. Part I: Derivation of the Methods
- Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
- Connection between finite volume and mixed finite element methods
- Robust and adaptive multigrid methods: comparing structured and algebraic approaches
- Higher order multipoint flux mixed finite element methods on quadrilaterals and hexahedra
- Adaptive Smoothed Aggregation ($\alpha$SA) Multigrid
- On Local Fourier Analysis of Multigrid Methods for PDEs with Jumping and Random Coefficients
- A Multipoint Flux Mixed Finite Element Method
- Superconvergence for Control‐Volume Mixed Finite Element Methods on Rectangular Grids
- QuadrilateralH(div) Finite Elements
- A review of algebraic multigrid
- Convergence of algebraic multigrid based on smoothed aggregation
This page was built for publication: Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids