Approximation results for spectral methods with domain decomposition
type: Item
instance of: scholarly article
title: Approximation results for spectral methods with domain decomposition
zbMATH Open document ID: 0686.65081
DOI: 10.1016/0168-9274(89)90053-6
author: Christine Bernardi
author: Yvon Maday
published in: Applied Numerical Mathematics
publication date: 1989-01-01T00:00:00Z
review text: Approximation results for spectral methods are given. Two different cases are treated: (1) when the polynomials are of different degrees with respect to the different variables; (2) when a domain decomposition technique is used and the polynomials are of different degrees on each subdomain. In (2) several kinds of matching conditions on the interfaces are analyzed. The results are presented in weighted Sobolev spaces with corresponding norms.
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 4124956
zbMATH Keywords: interfaces
zbMATH Keywords: spectral methods
zbMATH Keywords: domain decomposition
zbMATH Keywords: matching conditions
zbMATH Keywords: weighted Sobolev spaces
MaRDI profile type: Publication
full work available at URL: 0168-9274(89)90053-6
OpenAlex ID: W2027549980
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description: scientific article; zbMATH DE number 4124956