Finite element method with optimal nodal velocity
type: Item
instance of: scholarly article
title: Finite element method with optimal nodal velocity
zbMATH Open document ID: 0636.65093
DOI: 10.1016/0021-9991(87)90105-7
author: Ichiro Kawakami
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: The finite element method FEMALE of the author, \textit{M. Aizawa}, \textit{K. Harada} and \textit{H. Saito} [J. Phys. Soc. Japan 54, 544 (1985)] is outlined. Accuracy is much improved when the velocity of a finite element is equal to that of a local nonlinear wave. In this paper we give a proof of the improvement of accuracy for the discretized equations. The need for node annihilation is discussed for a hyperbolic system of equations and a restructuring algorithm of finite elements is proposed.
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 35L65
zbMATH DE Number: 4037097
zbMATH Keywords: optimal nodal velocity
zbMATH Keywords: FEMALE
zbMATH Keywords: nonlinear wave
zbMATH Keywords: shock wave
zbMATH Keywords: hyperbolic system of conservative form
zbMATH Keywords: parabolic system
zbMATH Keywords: finite element method
zbMATH Keywords: improvement of accuracy
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90105-7
OpenAlex ID: W2068309622
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description: scientific article; zbMATH DE number 4037097