A stable finite element method for initial-boundary value problems for first-order hyperbolic systems-Reference-Cited by-同舟云学术

A stable finite element method for initial-boundary value problems for first-order hyperbolic systems

Published:1981 Issue:153 Volume:36 Page:65-86
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Winther Ragnar

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1981-36-153/S0025-5718-1981-0595042-6/S0025-5718-1981-0595042-6.pdf

Reference13 articles.

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4. Lecture Notes in Mathematics, Vol. 385;Douglas, Jim, Jr.,1974

5. Galerkin methods for first order hyperbolics: an example;Dupont, Todd;SIAM J. Numer. Anal.,1973

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