Iterative methods for the Poisson equation in \(L\)-shape domain based on domain decomposition method

DOI10.1016/j.amc.2005.12.023zbMath1111.65095OpenAlexW2148061643MaRDI QIDQ850276

Abdul Wasim Shaikh, Xiao-liang Cheng

Publication date: 15 November 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.12.023

zbMATH Keywords

convergenceerror estimatesfinite difference methoddomain decompositionnumerical experimentsiterative methodPoisson equationcoarse meshL-shape domain

Mathematics Subject Classification ID

Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Error bounds for boundary value problems involving PDEs (65N15) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items (2)

A new parallel iterative algorithm for solving 2D poisson equation ⋮ Coupling of Dirichlet-to-Neumann boundary condition and finite difference methods in curvilinear coordinates for multiple scattering

Cites Work

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• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• An Iterative Method for Elliptic Problems on Regions Partitioned into Substructures
• A Review on the Inverse of Symmetric Tridiagonal and Block Tridiagonal Matrices
• The Construction of Preconditioners for Elliptic Problems by Substructuring. I

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