A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

DOI10.4208/aamm.2015.m1049zbMath1488.65322OpenAlexW2575927108MaRDI QIDQ5155258

Zhongguo Zhou, Dong Liang

Publication date: 6 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.2015.m1049

zbMATH Keywords

diffusion equationsmass-conservedinterface fluxestime second-orderimplicit-explicit domain decomposition

Mathematics Subject Classification ID

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) Finite difference methods for boundary value problems involving PDEs (65N06) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (4)

The splitting Crank-Nicolson scheme with intrinsic parallelism for solving parabolic equations ⋮ The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations ⋮ A new parallel algorithm for solving parabolic equations ⋮ Mass-preserving time second-order explicit-implicit domain decomposition schemes for solving parabolic equations with variable coefficients

Cites Work

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• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Group explicit methods for parabolic equations
• Implicit-Explicit Parallel Asynchronous Solver of Parabolic PDEs
• Efficient Parallel Algorithms for Parabolic Problems
• Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations

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