Stability estimates for h-p spectral element methods for elliptic problems
type: Item
instance of: scholarly article
title: Stability estimates for h-p spectral element methods for elliptic problems
zbMATH Open document ID: 1016.65077
DOI: 10.1007/BF02829693
author: S. K. Tomar
author: B. V. Ratish Kumar
author: P. Dutt
published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences
publication date: 2003-08-13T00:00:00Z
review text: The authors consider Poisson's equation in a plane polygon with Dirichlet boundary conditions. They suggest that the difficulties associated with the corners may be overcome by using Kondratiev's modified polar coordinates centred on the corners. Stability estimates are discussed and error estimates obtained. There is not however any indication of any actual application of the theory.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1874187
zbMATH Keywords: \(h-p\) spectral element methods
zbMATH Keywords: stability estimates
zbMATH Keywords: Poisson's equation
zbMATH Keywords: error estimates obtained
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Regularity of the Solution of Elliptic Problems with Piecewise Analytic Data. Part I. Boundary Value Problems for Linear Elliptic Equation of Second Order
cites work: The $h{\text{ - }}p$ Version of the Finite Element Method for Domains with Curved Boundaries
cites work: Q4162607
cites work: Spectral Methods for Initial Boundary Value Problems—An Alternative Approach
cites work: Spectral methods for hyperbolic initial boundary value problems on parallel computers
cites work: Q4417507
cites work: Stability estimates for h-p spectral element methods for general elliptic problems on curvilinear domains
cites work: Q3470840
cites work: Q4490850
cites work: Q4220650
full work available at URL: https://doi.org/10.1007/bf02829693
OpenAlex ID: W1990054338
description: scientific article; zbMATH DE number 1874187