Domain decomposition schemes with high-order accuracy and unconditional stability

DOI10.1016/j.amc.2012.12.001zbMath1273.65136OpenAlexW1988920727MaRDI QIDQ371536

Shaohong Zhu, Wenrui Hao

Publication date: 10 October 2013

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.12.001

zbMATH Keywords

domain decompositionunconditional stabilityparabolic equationfinite differencehigh-order accuracy

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Parallel numerical computation (65Y05) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (4)

The splitting Crank-Nicolson scheme with intrinsic parallelism for solving parabolic equations ⋮ A Samarskii domain decomposition method for two-dimensional convection-diffusion equations ⋮ High order locally one-dimensional methods for solving two-dimensional parabolic equations ⋮ A bootstrapping approach for computing multiple solutions of differential equations

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
• Conservative domain decomposition procedure with unconditional stability and second-order accuracy
• 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
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Parallel iterative methods for parabolic equations
• 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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