摘要
A second order explicit finite element scheme is given for the numerical computation to multi-dimensional scalar conservation laws. Lp-convergence to entropy solutions is proved under some usual conditions. For two-dimensional problems, uniform mesh, and sufficiently smooth solutions a second order error estimate in L2 is proved under a stronger condition, Δt≤Ch^4/3.
A second order explicit finite element scheme is given for the numerical computation to multi-dimensional scalar conservation laws.L p convergence to entropy solutions is proved under some usual conditions. For two-dimensional problems, uniform mesh, and sufficiently smooth solutions a second order error estimate inL 2 is proved under a stronger condition, Δt≤Ch 2/4
