Heterogeneous Domain Decomposition for Singularly Perturbed Elliptic Boundary Value Problems

A heterogeneous domain-decomposition method is presented for the numerical solution of singularly perturbed elliptic boundary value problems. The method, which is parallelizable at various levels, uses several ideas of asymptotic analysis. The subdomains match the domains of validity of the local (i...

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Bibliographic Details
Published in:	SIAM journal on numerical analysis Vol. 34; no. 4; pp. 1513 - 1544
Main Authors:	Garbey, Marc, Kaper, Hans G.
Format:	Journal Article
Language:	English
Published:	Philadelphia, PA Society for Industrial and Applied Mathematics 01.08.1997
Subjects:	Approximation Boundary layers Boundary value problems Coordinate systems Decomposition Decomposition methods Exact sciences and technology Mathematical analysis Mathematical functions Mathematics Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Perceptron convergence procedure Sciences and techniques of general use Signal amplification Transition layers Truncation errors Transition layer Heterogeneous domain Singular perturbation Asymptotic behavior Iterative method Perturbed problem Truncation error Turning point problem Convection equation Elliptic equation Boundary value problem Discretization Numerical solution Convergence rate Numerical simulation Domain decomposition Boundary layer
ISSN:	0036-1429, 1095-7170
Online Access:	Get full text
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