Operator adapted spectral element methods. I: Harmonic and generalized harmonic polynomials
type: Item
instance of: scholarly article
title: Operator adapted spectral element methods. I: Harmonic and generalized harmonic polynomials
zbMATH Open document ID: 0941.65112
author: Yanyan Li
published in: Numerische Mathematik
publication date: 2000-07-20T00:00:00Z
review text: The approximation of elliptic differential equations by operator adapted spectral elements is investigated. The adapted systems have superior local approximation properties. The approximation by harmonic polynomials is studied for equations with the Laplace operator. Special attention is paid to the approximation of singular functions that arise in corners. By the theory of Bergman and Vekua the results are extended to general elliptic problems. The partition of unity is used in a numerical example.
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1398747
zbMATH Keywords: operator adapted spectral element methods
zbMATH Keywords: numerical example
zbMATH Keywords: harmonic polynomials
reviewed by: Wilhelm Heinrichs
MaRDI profile type: Publication
full work available at URL: s002110050463
OpenAlex ID: W1966754224
DOI: 10.1007/S002110050463
description: scientific article; zbMATH DE number 1398747