### Speaker

Dr
Anh Ha LE
(University of science, VNU-HCMUS)

### Description

In this paper, we will consider a posteriori error estimation for the transport equation $\partial_t u+\mathbf{a}(x,t)\cdot\nabla u=0$ with the initial data $u_0\in L^\infty\cap BV_{{\rm loc}}$ and the divergence of the velocity field $\mathbf{a}$ is not equal to zero. An a posteriori estimate for the error between the exact solution and the solution of an upwind finite volume scheme is derived in the $L^1$ norm.

### Primary author

Dr
Anh Ha LE
(University of science, VNU-HCMUS)