Error analysis of multipoint flux domain decomposition methods for evolutionary diffusion problems
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Publication:727635
DOI10.1016/j.jcp.2013.08.013zbMath1351.76156OpenAlexW2030514350MaRDI QIDQ727635
Publication date: 20 December 2016
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2013.08.013
Diffusion (76R50) Finite difference methods applied to problems in fluid mechanics (76M20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Related Items (6)
Modified Douglas splitting methods for reaction-diffusion equations ⋮ The mass‐conserving domain decomposition method for convection diffusion equations with variable coefficients ⋮ Multipoint flux mixed finite element methods for slightly compressible flow in porous media ⋮ Improved accuracy for time-splitting methods for the numerical solution of parabolic equations ⋮ Multigrid solvers for multipoint flux approximations of the Darcy problem on rough quadrilateral grids ⋮ The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients
Cites Work
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- A multipoint flux mixed finite element method on distorted quadrilaterals and hexahedra
- Convergence of method of lines approximations to partial differential equations
- A generalization of Peaceman-Rachford fractional step method.
- Robust convergence of multi point flux approximation on rough grids
- Domain decomposition methods for the numerical solution of partial differential equations
- Convergence of fractional step mimetic finite difference discretizations for semilinear parabolic problems
- An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media
- Local flux mimetic finite difference methods
- Convergence and order reduction of Runge-Kutta schemes applied to evolutionary problems in partial differential equations
- Two families of mixed finite elements for second order elliptic problems
- Mixed finite elements for second order elliptic problems in three variables
- Stability and convergence at the PDE/stiff ODE interface
- Mixed finite elements in \(\mathbb{R}^3\)
- Cross flow tensors and finite volume approximation with by deferred correction
- Finite volume discretization with imposed flux continuity for the general tensor pressure equation
- 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
- An introduction to multipoint flux approximations for quadrilateral grids
- Unstructured, control-volume distributed, full-tensor finite volume schemes with flow based grids
- Fractional step Runge-Kutta methods for time dependent coefficient parabolic problems
- Interior estimates for time discretizations of parabolic equations
- M-matrix flux splitting for general full tensor discretization operators on structured and unstructured grids
- Convergence of a symmetric MPFA method on quadrilateral grids
- A multiscale mortar multipoint flux mixed finite element method
- A Multipoint Flux Mixed Finite Element Method on Hexahedra
- Stability and Convergence of the Peaceman-Rachford ADI Method for Initial-Boundary Value Problems
- Avoiding the order reduction of Runge-Kutta methods for linear initial boundary value problems
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- Convergence of multipoint flux approximations on quadrilateral grids
- Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
- On the treatment of time-dependent boundary conditions in splitting methods for parabolic differential equations
- Single step methods for inhomogeneous linear differential equations in Banach space
- Mixed and Hybrid Finite Element Methods
- Runge-Kutta Methods for Partial Differential Equations and Fractional Orders of Convergence
- Domain Decomposition Operator Splittings for the Solution of Parabolic Equations
- Discretization on Unstructured Grids For Inhomogeneous, Anisotropic Media. Part II: Discussion And Numerical Results
- Spectral-fractional step Runge–Kutta discretizations for initial boundary value problems with time dependent boundary conditions
- Peaceman—Rachford procedure and domain decomposition for finite element problems
- Parallel Processing and Applied Mathematics
- A Multipoint Flux Mixed Finite Element Method
- A Priori $L_2 $ Error Estimates for Galerkin Approximations to Parabolic Partial Differential Equations
- A New Computational Procedure for A.D.I. Methods
- QuadrilateralH(div) Finite Elements
- Difference schemes with domain decomposition for solving non-stationary problems
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