Simplified galerkin method for hyperbolic equations
Journal Article
·
· Math. Comput.; (United States)
We modify a Galerkin method for nonlinear hyperbolic equations so that it becomes a simpler method of lines, which may be viewed as a collocation method. The high order of accuracy is preserved. We present a linear wave analysis of the scheme and discuss some aspects of nonlinear problems. Our numerical experiments indicate that the addition of a proper artificial viscosity makes the method competitive and the common difference schemes, even when the solution has discontinuities.
- Research Organization:
- U. S. Energy Research and Development Administration
- OSTI ID:
- 6208421
- Journal Information:
- Math. Comput.; (United States), Journal Name: Math. Comput.; (United States) Vol. 33:146; ISSN MCMPA
- Country of Publication:
- United States
- Language:
- English
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