首页|Continuous data assimilation and long-time accuracy in a C-0 interior penalty method for the Cahn-Hilliard equation
Continuous data assimilation and long-time accuracy in a C-0 interior penalty method for the Cahn-Hilliard equation
扫码查看
点击上方二维码区域，可以放大扫码查看
原文链接
NSTL
Elsevier
We propose a numerical approximation method for the Cahn-Hilliard equations that incorporates continuous data assimilation in order to achieve long time accuracy. The method uses a C-0 interior penalty spatial discretization of the fourth order Cahn-Hilliard equations, together with a backward Euler temporal discretization. We prove the method is long time stable and long time accurate, for arbitrarily inaccurate initial conditions, provided enough data measurements are incorporated into the simulation. Numerical experiments illustrate the effectiveness of the method on a benchmark test problem.(C) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
