An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points
type: Item
instance of: scholarly article
title: An analysis of Dendy's piecewise polynomial Petrov-Galerkin method for a hyperbolic equation with stagnation points
zbMATH Open document ID: 0541.65059
DOI: 10.1016/0045-7825(84)90155-5
author: Todd F. Dupont
author: L. B. Wahlbin
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1984-01-01T00:00:00Z
review text: A method of \textit{J. E. Dendy} [SIAM J. Numer. Anal. 11, 637-653 (1974; Zbl 0293.65077)] was shown by him, in the absence of stagnation points, to give optimal order error for a large class of piecewise polynomial trial spaces. This result is extended to the situation when stagnation points may be present. The analysis contains a result of interest in connection with numerical solution of singular two-point boundary value problems.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 65M15
Mathematics Subject Classification ID: 35L45
zbMATH DE Number: 3860326
zbMATH Keywords: optimal order error
zbMATH Keywords: piecewise polynomial trial spaces
zbMATH Keywords: stagnation points
MaRDI profile type: Publication
full work available at URL: 0045-7825(84)90155-5
OpenAlex ID: W2035873644
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description: scientific article; zbMATH DE number 3860326