14 citations · 20 across the 7 of their papers we have counts for
3 papers · 2 filters
Hyperbolic conservation laws on spacetimes. A finite volume scheme based on differential forms
Philippe G. LeFloch, Baver Okutmustur
We consider nonlinear hyperbolic conservation laws, posed on a differential (n+1)-manifold with boundary referred to as a spacetime, and in which the "flux" is defined as a flux fi…
Hyperbolic conservation laws on manifolds with limited regularity
Philippe G. LeFloch, Baver Okutmustur
We introduce a formulation of the initial and boundary value problem for nonlinear hyperbolic conservation laws posed on a differential manifold endowed with a volume form, possibl…
Hyperbolic conservation laws on manifolds. Error estimate for finite volume schemes
Philippe G. LeFloch, Wladimir Neves, Baver Okutmustur
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L1-error estimate for a class of finite volu…