A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems
type: Item
instance of: scholarly article
title: A generalized Schwarz splitting method based on Hermite collocation for elliptic boundary value problems
zbMATH Open document ID: 0879.65073
DOI: 10.1016/0168-9274(96)00014-1
author: Yu-Ling Lai
author: Elias N. Houstis
author: A. Hadjidimos
published in: Applied Numerical Mathematics
publication date: 1997-12-11T00:00:00Z
full work available at URL: https://docs.lib.purdue.edu/cgi/viewcontent.cgi
review text: An extension of the Schwarz alternating method SAM (generalized Schwarz splitting-GSS) for solving elliptic boundary value problems is studied. Interface conditions which depend on a parameter that might differ in each overlapping region are generalized. The GSS is coupled with the cubic Hermite collocation discretization scheme. The domain of convergence is determined analytically. The GSS scheme is applied to a number of elliptic model problems to verify the theoretical results and to compare the convergence rates of the SAM and GSS schemes.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 62F10
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 937260
zbMATH Keywords: Schwarz splitting method
zbMATH Keywords: Schwarz alternating method
zbMATH Keywords: Hermite collocation
zbMATH Keywords: elliptic boundary value problems
zbMATH Keywords: convergence
reviewed by: Wilhelm Heinrichs
describes a project that uses: ELLPACK
MaRDI profile type: Publication
OpenAlex ID: W1989485818
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description: scientific article; zbMATH DE number 937260