LI Xiang-gui, YU Xi-jun, CHEN Guang-nan. DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS[J]. Chinese Journal of Computational Physics, 2001, 18(6): 549-555.
Citation:
LI Xiang-gui, YU Xi-jun, CHEN Guang-nan. DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS[J]. Chinese Journal of Computational Physics, 2001, 18(6): 549-555.
LI Xiang-gui, YU Xi-jun, CHEN Guang-nan. DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS[J]. Chinese Journal of Computational Physics, 2001, 18(6): 549-555.
Citation:
LI Xiang-gui, YU Xi-jun, CHEN Guang-nan. DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS[J]. Chinese Journal of Computational Physics, 2001, 18(6): 549-555.
DISCONTINUOUS FINITE ELEMENT METHODS FOR HAMILTON-JACOBI EQUATIONS
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.
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