Seminars on Numerical Algorithms, Analyses, and Applications： Structure preserving schemes for the Allen-Cahn type equations-Tianyuan Mathematical Center in Southeast China (TMSE)

Speaker：Yongyong Cai (Beijing Normal University)

Time：2022-11-25, 10:00

Location：Tencent Meeting ID：905569179（No Password）

Abstract:

In comparison with the Cahn--Hilliard equation, the classic Allen-Cahn equation satisfies the maximum bound principle (MBP) but fails to conserve the mass. Here, we report the MBP and corresponding numerical schemes for the Allen-Cahn equation with nonlocal constraint for the mass conservation. In extension, we discuss the MBP numerical schemes for the convective Allen-Cahn equation .