Abstract
Consider the hyperbolic system of conservation laws ut + F(u)x = 0. Let u be the unique viscosity solution with initial condition u(0, x) = ū(x), and let uε be an approximate solution constructed by the Glimm scheme, corresponding to the mesh sizes Δx, Δt = O(Δx). With a suitable choice of the sampling sequence, we prove the estimate ∥uε(t, ·) - u(t, ·)∥L = o(1) · √Δx|ln(Δx)|.
Original language | English (US) |
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Pages (from-to) | 155-176 |
Number of pages | 22 |
Journal | Archive for Rational Mechanics and Analysis |
Volume | 142 |
Issue number | 2 |
DOIs | |
State | Published - May 28 1998 |
All Science Journal Classification (ASJC) codes
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering