CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2001, Vol. 18 ›› Issue (6): 549-555.

Previous Articles     Next Articles

DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS

LI Xiang-gui1,2, YU Xi-jun2, CHEN Guang-nan2   

  1. 1. University of Petroleum, Department of Mathematics, Shandong 257062, P R China;
    2. Institute of Applied Physics and Computational Mathematics, Beijing 100088, P R China
  • Received:2000-12-25 Revised:2001-05-15 Online:2001-11-25 Published:2001-11-25

Abstract: Two numerical schemes of discontinuous finite element methods are presented for Hamilton Jacobi equations which are obtained by using the different basic functions. The numerical solutions of these schemes converge to weak solutions of the Hamilton Jacobi equation under some conditions. Numerical tests given illustrate the accuracy and resolution of discontinuity for the two different schemes.

Key words: discontinuous finite element, Hamilton Jacobi equations

CLC Number: