Fourth-order compact block-centered splitting domain decomposition method for parabolic equations
DOI10.1016/j.cam.2024.115933zbMATH Open1541.65085MaRDI QIDQ6569168
Shu-Sen Xie, Dong Liang, Kai Fu, Yilei Shi
Publication date: 8 July 2024
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Flows in porous media; filtration; seepage (76S05) 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)
Cites Work
- Unnamed Item
- A 6th order staggered compact finite difference method for the incompressible Navier-Stokes and scalar transport equations
- A conservative and monotone mixed-hybridized finite element approximation of transport problems in heterogeneous domains
- Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
- Compact finite difference schemes with spectral-like resolution
- Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
- Analysis of central and upwind compact schemes.
- A stable domain decomposition technique for advection-diffusion problems
- Derivation of high-order compact finite difference schemes for non-uniform grid using polynomial interpolation
- Numerical simulation to air pollution emission control near an industrial zone
- High-order compact-difference schemes for time-dependent Maxwell equations
- Compact \(h^ 4\) finite-difference approximations to operators of Navier- Stokes type
- A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
- Analysis of operator splitting for advection-diffusion-reaction problems from air pollution modelling
- Stability and error estimates for the variable step-size BDF2 method for linear and semilinear parabolic equations
- Iterative schemes for surfactant transport in porous media
- High order compact block-centered finite difference schemes for elliptic and parabolic problems
- Energy-preserving time high-order AVF compact finite difference schemes for nonlinear wave equations with variable coefficients
- On large start-up error of BDF2
- The conservative splitting domain decomposition method for multicomponent contamination flows in porous media
- A fourth-order block-centered compact difference scheme for nonlinear contaminant transport equations with adsorption
- Optimised boundary compact finite difference schemes for computational aeroacoustics
- A cell-centered finite difference method for a degenerate elliptic equation arising from two-phase mixtures
- Flux-difference splitting-based upwind compact schemes for the incompressible Navier-Stokes equations
- A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- Domain Decomposition Methods With Overlapping Subdomains For The Time-Dependent Problems Of Mathematical Physics
- On Convergence of Block-Centered Finite Differences for Elliptic Problems
- Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
- 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
- Efficient Parallel Algorithms for Parabolic Problems
- A High Order Accurate Bound-Preserving Compact Finite Difference Scheme for Scalar Convection Diffusion Equations
- A Block-Centered Finite Difference Method for the Darcy--Forchheimer Model
- The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations
- Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations
- Analysis of adaptive BDF2 scheme for diffusion equations
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