An efficient characteristic finite difference s-DDM scheme for convection-diffusion equations

DOI10.1016/j.camwa.2020.10.023OpenAlexW3107467672MaRDI QIDQ2214463

Zhongguo Zhou, Yan Wang, Hao Pan, Xinxin Sun

Publication date: 8 December 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2020.10.023

zbMATH Keywords

convergenceconvection-diffusion equationsmulti-blockcharacteristic differences-DDM

Mathematics Subject Classification ID

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) Parallel numerical computation (65Y05) 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)

Related Items (7)

Mass conservative characteristic finite difference method for convection–diffusion equations ⋮ A Samarskii domain decomposition method for two-dimensional convection-diffusion equations ⋮ An efficient MMOCAA-DDM for solving advection diffusion equations ⋮ The characteristic difference DDM for solving the time-fractional order convection-diffusion equations ⋮ The mass‐conserving domain decomposition method for convection diffusion equations with variable coefficients ⋮ Conservative characteristic finite difference method based on ENO and WENO interpolation for 2D convection-diffusion equations ⋮ A new GPU-based corrected explicit-implicit domain decomposition scheme for convection-dominated diffusion problems

Cites Work

• The efficient S-DDM scheme and its analysis for solving parabolic equations
• The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations
• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• An efficient S-DDM iterative approach for compressible contamination fluid flows in porous media
• A modified upwind difference domain decomposition method for convection-diffusion equations
• The time second order mass conservative characteristic FDM for advection-diffusion equations in high dimensions
• Parallel characteristic mixed element method for saltwater intrusion problem
• A non-overlapping DDM combined with the characteristic method for optimal control problems governed by convection-diffusion equations
• The modified method of characteristics with adjusted advection
• The conservative splitting domain decomposition method for multicomponent contamination flows in porous media
• Persistent impulsive effects on stability of functional differential equations with finite or infinite delay
• The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients
• The conservative characteristic FD methods for atmospheric aerosol transport problems
• A domain decomposition discretization of parabolic problems
• Nonoverlapping domain decomposition characteristic finite differences for three-dimensional convection-diffusion equations
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Numerical Methods for Convection-Dominated Diffusion Problems Based on Combining the Method of Characteristics with Finite Element or Finite Difference Procedures
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Efficient Parallel Algorithms for Parabolic Problems
• Stabilized Explicit-Implicit Domain Decomposition Methods for the Numerical Solution of Parabolic Equations
• CHATTER DYNAMIC ANALYSIS FOR A PLANING MODEL WITH THE EFFECT OF PULSE
• Block‐centered upwind multistep difference method and convergence analysis for numerical simulation of oil reservoir
• Computational Methods for Multiphase Flows in Porous Media
• 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

This page was built for publication: An efficient characteristic finite difference s-DDM scheme for convection-diffusion equations