Conservative domain decomposition procedure with unconditional stability and second-order accuracy

DOI10.1016/j.amc.2010.04.054zbMath1197.65134OpenAlexW2040358352MaRDI QIDQ984378

Shaohong Zhu

Publication date: 19 July 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2010.04.054

zbMATH Keywords

numerical resultsdomain decompositionunconditional stabilityaccuracyparabolic equationfinite differenceinitial-boundary-value problems

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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Cites Work

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• A high-order parallel finite difference algorithm
• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations
• Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems
• Parallel difference schemes with interface extrapolation terms for quasi-linear parabolic systems
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Domain decomposition algorithm based on the group explicit formula for the heat equation
• Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations

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