Vietnamese - French conference in applied mathematics

A Posteriori Error Estimation for Transport Equations

10 juil. 2018, 15:30

30m

Ho Chi Minh City University of Science

Orateur

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

Description

In this paper, we will consider a posteriori error estimation for the transport equation ${\partial }_{t}u+\mathbf{a}(x,t)\cdot \mathrm{\nabla }u=0$ with the initial data $u_0\in L^{\mathrm{\infty }}\cap B{V}_{\mathrm{l}\mathrm{o}\mathrm{c}}$ 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.