9-11 July 2018
Ho Chi Minh City University of Science
Asia/Ho_Chi_Minh timezone

A Posteriori Error Estimation for Transport Equations

10 Jul 2018, 15:30
30m
Ho Chi Minh City University of Science

Ho Chi Minh City University of Science

227 Nguyễn Văn Cừ, Phường 4, T.P. Hồ Chí Minh

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)

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