PROJECTION DOMAIN DECOMPOSITION METHOD-Reference-Cited by-同舟云学术

PROJECTION DOMAIN DECOMPOSITION METHOD

Published:1994-12 Issue:06 Volume:04 Page:773-794
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

AGOSHKOV V.I.¹²,OVTCHINNIKOV E.¹²

Affiliation:

1. Institute of Numerical Mathematics, Russian Academy of Sciences, Leninskii Prospect, 32-A—117 334 Moscow, Russia

2. CRS4, Via N. Sauro 10, 09123 Cagliari, Italy

Abstract

A domain decomposition method using the projection approach is considered. The original elliptic problem is transformed to a set of analogous problems in subdomains and an abstract equation on the interface between subdomains, the latter being solved using Galerkin projection method with some special basis functions defined on the interface. The condition number of the matrix of the resulting discrete problem is shown to be independent of both the number of basis functions and the coefficients of the original problem. Problems in subdomains can be solved independently with different solvers.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202594000431

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1. Parallel algorithms and domain decomposition techniques for solving three-dimensional boundary value problems on quasi-structured grids;Numerical Analysis and Applications;2016-04

2. Meshless Galerkin method using radial basis functions based on domain decomposition;Applied Mathematics and Computation;2006-08

3. Advances in domain decomposition methods;Computational Methods in Water Resources, Proceedings of the XIVth International Conference on Computational Methods in Water Resources (CMWR XIV);2002

4. The Spectral Projection Decomposition Method for Elliptic Equations in Two Dimensions;SIAM Journal on Numerical Analysis;1997-08