DISCRETE COMPRESSIVE SOLUTIONS OF SCALAR CONSERVATION LAWS
2004 ◽
Vol 01
(03)
◽
pp. 493-520
Keyword(s):
We prove the convergence of numerical approximations of compressive solutions for scalar conservation laws with convex flux. This new proof of convergence is fully discrete and does not use Kuznetsov's approach. We recover the well-known rate of convergence in O(Δx½). With the same fully discrete approach, we also prove a rate of convergence in O(Δx) uniformly in time, if the initial data is a shock, or asymptotically after the compression of the initial profile. Numerical experiments confirm the theoretical analysis.
1990 ◽
Vol 27
(5)
◽
pp. 1142-1159
◽
Keyword(s):
2003 ◽
Vol 73
(246)
◽
pp. 777-813
◽
2015 ◽
Vol 36
(2)
◽
pp. 633-654
◽
Keyword(s):
2006 ◽
Vol 31
(3)
◽
pp. 371-395
◽
2016 ◽
Vol 4
(1)
◽
pp. 552-591
◽
1996 ◽
Vol 16
(2)
◽
pp. 201-215
◽
1996 ◽
Vol 65
(214)
◽
pp. 533-574
◽