A system of conservation laws including a sti relaxation term ; the 2 D case
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چکیده
We analyze a system of conservation laws in two space dimensions with stii relaxation terms. A semi-implicit nite diierence method approximating the system is studied and an error bound of order O(p t) measured in L 1 is derived. This error bound is independent of the relaxation time > 0. Furthermore, it is proved that the solutions of the system converge towards the solutions of the equilibrium model as the relaxation time tends to zero, and that the rate of convergence measured in L 1 is of order O(1=3). Finally, we present some numerical illustrations.
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تاریخ انتشار 1996