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

Author:
Ragnar Winther

Journal:
Math. Comp. **36** (1981), 65-86

MSC:
Primary 65N30

MathSciNet review:
595042

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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.

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DOI:
https://doi.org/10.1090/S0025-5718-1981-0595042-6

Article copyright:
© Copyright 1981
American Mathematical Society