Speaker：Xiaoming Wang（South University of Science Technology）

Time：2021-08-12 10:00

Location：Tencent Meeting ID：724 572 100（No Password）

Abstract:

We present a novel variable-step BDF2 scheme for the classical Cahn-Hilliard equation. The scheme， which is constructed by combining variable-step BDF2, viscous regularization, and convex splitting, is unconditionally stable and convergent under mild constraint on the ratio of adjacent time steps. Such a result is a significant improvement over previous ones, even in the linear case. Our numerical experiments confirm the theory. The analysis relies on a novel generalized Gronwall type inequality that allows us to handle the indefinite terms.