Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes
DOI10.1016/j.camwa.2022.02.021OpenAlexW4220733469MaRDI QIDQ2122616
Publication date: 7 April 2022
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2022.02.021
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) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12)
Related Items (3)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Additive average Schwarz method for a Crouzeix-Raviart finite volume element discretization of elliptic problems with heterogeneous coefficients
- Additive Schwarz preconditioner for the finite volume element discretization of symmetric elliptic problems
- The cutoff method for the numerical computation of nonnegative solutions of parabolic PDEs with application to anisotropic diffusion and lubrication-type equations
- Monotonicity recovering and accuracy preserving optimization methods for postprocessing finite element solutions
- An improved monotone finite volume scheme for diffusion equation on polygonal meshes
- An algorithm using the finite volume element method and its splitting extrapolation
- Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
- Edge-based Schwarz methods for the Crouzeix-Raviart finite volume element discretization of elliptic problems
- Monotone finite volume schemes for diffusion equations on polygonal meshes
- \(L^{2}\) error estimate of the finite volume element methods on quadrilateral meshes
- Analysis of linear and quadratic simplicial finite volume methods for elliptic equations
- Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
- Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations
- Alternating group explicit method for the diffusion equation
- Group explicit methods for hyperbolic equations
- On alternating segment Crank-Nicolson scheme
- Splitting extrapolation based on domain decomposition for finite element approximations
- A note on the optimal \(L^2\)-estimate of the finite volume element method
- On the parallel domain decomposition algorithms for time-dependent problems
- A vertex-centered and positivity-preserving scheme for anisotropic diffusion problems on arbitrary polygonal grids
- Additive Schwarz algorithms for parabolic convection-diffusion equations
- A finite volume element scheme with a monotonicity correction for anisotropic diffusion problems on general quadrilateral meshes
- Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems
- Finite volume element approximation for nonlinear diffusion problems with degenerate diffusion coefficients
- On domain decomposition algorithms for covolume methods for elliptic problems
- Monotone finite volume schemes for diffusion equations on unstructured triangular and shape-regular polygonal meshes
- Finite volume monotone scheme for highly anisotropic diffusion operators on unstructured triangular meshes. (Schéma volumes finis monotone pour des opérateurs de diffusion fortement anisotropes sur des maillages de triangles non structurés).
- $L^2$ Error Estimates for High Order Finite Volume Methods on Triangular Meshes
- A Finite Volume Scheme for Diffusion Problems on General Meshes Applying Monotony Constraints
- Alternating block explicit-implicit method for the two-dimensional diffusion equation
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
- Parallel Galerkin domain decomposition procedures for parabolic equation on general domain
- Monotone Finite Volume Schemes of Nonequilibrium Radiation Diffusion Equations on Distorted Meshes
- Group explicit methods for parabolic equations
- A new explicit method for the solution of
- GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
- Block Hopscotch Procedures for Second Order Parabolic Differential Equations
- Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
- A domain decomposition algorithm for general covolume methods for elliptic problems
- Difference Graphs of Block ADI Method
- Efficient Parallel Algorithms for Parabolic Problems
- A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes
- The alternating group explicit (age) iterative method for solving parabolic equations i: 2-dimensional problems
- The alternating group explicit (age) iterative method for solving parabolic equations II: 3 space dimensional problems
- Optimal Biquadratic Finite Volume Element Methods on Quadrilateral Meshes
- A Constrained Finite Element Method Based on Domain Decomposition Satisfying the Discrete Maximum Principle for Diffusion Problems
- Discrete maximum principle based on repair technique for diamond type scheme of diffusion problems
- Hopscotch: a Fast Second-order Partial Differential Equation Solver
- General Hopscotch Algorithm for the Numerical Solution of Partial Differential Equations
- Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations
This page was built for publication: Parallel domain decomposition schemes based on finite volume element discretization for nonsteady-state diffusion equations on distorted meshes