NDLI: A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems

Content Provider	Scilit
Author	Winther, Ragnar
Copyright Year	1981
Description	A nonstandard finite element method for initial-boundary value problems for first-order hyperbolic systems in one space dimension with general boundary conditions is analyzed. The method can be considered as a generalization of the box scheme. We first establish a stability result for the method and then derive several error estimates.
Related Links	https://www.ams.org/mcom/1981-36-153/S0025-5718-1981-0595042-6/S0025-5718-1981-0595042-6.pdf
Ending Page	86
Page Count	22
Starting Page	65
ISSN	00255718
e-ISSN	10886842
DOI	10.2307/2007726
Journal	Mathematics of Computation
Issue Number	153
Volume Number	36
Language	English
Publisher	Duke University Press
Publisher Date	1981-01-01
Access Restriction	Open
Subject Keyword	Mathematical Physics Finite Element Element Method Scheme Box Nonstandard Value Problems Boundary Value Initial Boundary
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Algebra and Number Theory Computational Mathematics

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A Stable Finite Element Method for Initial-Boundary Value Problems for First-Order Hyperbolic Systems