A new positivity‐preserving domain decomposition method for the 2‐D diffusion equation

DOI10.1002/zamm.202100054OpenAlexW3177155028MaRDI QIDQ6149744

Dongxu Jia

Publication date: 5 March 2024

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.202100054

zbMATH Keywords

weak solutiondiffusion equationunconditionally stableparallel difference

Mathematics Subject Classification ID

Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Parabolic equations and parabolic systems (35Kxx)

Cites Work

• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• Conservative domain decomposition procedure with unconditional stability and second-order accuracy
• Alternating group explicit method for the diffusion equation
• A conservative parallel difference method for 2-dimension diffusion equation
• Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems
• A Conservative Domain Decomposition Procedure for Nonlinear Diffusion Problems on Arbitrary Quadrilateral Grids
• Group explicit methods for parabolic equations
• Alternating group explicit (AGE) iterative methods
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• A parallel finite volume scheme preserving positivity for diffusion equation on distorted meshes
• Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations

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