On accelerated convergence of nonoverlapping Schwarz methods

DOI10.1016/S0377-0427(99)00374-XzbMath1010.65053OpenAlexW2005606822MaRDI QIDQ5937195

No author found.

Publication date: 12 July 2001

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

Full work available at URL: https://doi.org/10.1016/s0377-0427(99)00374-x

zbMATH Keywords

algorithmconvergence accelerationdomain decompositionnumerical experimentserror boundsconjugate gradient methodPoisson equationpreconditionerelliptic boundary value problemsRobin boundary conditionSchwarz alternating method

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) Iterative numerical methods for linear systems (65F10) Numerical computation of matrix norms, conditioning, scaling (65F35) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (5)

Extension of Near-Wall Domain Decomposition to Modeling Flows with Laminar-Turbulent Transition ⋮ On the convergence of generalized Schwarz algorithms for solving obstacle problems with elliptic operators ⋮ Domain decomposition methods in image denoising using Gaussian curvature ⋮ On extension of near-wall domain decomposition to turbulent compressible flows ⋮ Domain decomposition with nonlocal interface boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A relaxation procedure for domain decomposition methods using finite elements
• Convergence rate of some domain decomposition methods for overlapping and nonoverlapping subdomains
• Solving Composite Problems with Interface Relaxation
• Schwarz Analysis of Iterative Substructuring Algorithms for Elliptic Problems in Three Dimensions
• Timely Communicaton: An Analysis for a Nonoverlapping Domain Decomposition Iterative Procedure
• FACTORIZATION OF THE CONVECTION-DIFFUSION OPERATOR AND THE SCHWARZ ALGORITHM
• An Overdetermined Schwarz Alternating Method
• ABSORBING BOUNDARY CONDITIONS IN BLOCK GAUSS–SEIDEL METHODS FOR CONVECTION PROBLEMS

This page was built for publication: On accelerated convergence of nonoverlapping Schwarz methods