A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS

CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2000, Vol. 17 ›› Issue (6): 611-618.

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A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS

YU Xi-jun, FU Hong-yuan

Laboratory of Computational Physics, Institute of Applied Physics and Computational Mathematics, Beijing 100088 P R China

Received:1999-03-03 Revised:1999-07-28 Online:2000-11-25 Published:2000-11-25

Abstract

Abstract: A scheme is hroposed for solving hyperboilc conservation laws by the Taylor-Galerkin finite element method. The scheme is obtained by discretizing hyperbolic conservation laws related to the Hamilton-Jacobi's equations. The scheme satisfies the TVD properties under the isometry meshes by modifying the numerical flux, whose idea is from the difference scheme construction. Numerical examples are given.

Key words: hyperbolic conservation laws, Hamilton-Jacobi equations, Taylor-Galerkin finite element method

CLC Number:

YU Xi-jun, FU Hong-yuan. A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS[J]. CHINESE JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 17(6): 611-618.

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A TAYLOR-GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC CONSERVATION LAWS

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