EFFICIENT LINEAR SCHEMES WITH UNCONDITIONAL ENERGY STABILITY FOR THE PHASE FIELD MODEL OF SOLID-STATE DEWETTING PROBLEMS |
| |
Authors: | Jie Chen Zhengkang He Shuyu Sun Shimin Guo & Zhangxin Chen |
| |
Institution: | School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an 710049, China;Computational Transport Phenomena Laboratory, Division of Physical Science and Engineering,King Abdullah University of Science and Technology, Thuwal 23955-6900, Kingdom of Saudi Arabia;Department of Chemical & Petroleum Engineering, Schulich School of Engineering,University of Calgary, 2500 University Drive N.W., Calgary, Alberta T2N 1N4, Canada |
| |
Abstract: | In this paper, we study linearly first and second order in time, uniquely solvable and
unconditionally energy stable numerical schemes to approximate the phase field model
of solid-state dewetting problems based on the novel "scalar auxiliary variable" (SAV)
approach, a new developed efficient and accurate method for a large class of gradient flows.
The schemes are based on the first order Euler method and the second order backward
differential formulas (BDF2) for time discretization, and finite element methods for space
discretization. The proposed schemes are proved to be unconditionally stable and the
discrete equations are uniquely solvable for all time steps. Various numerical experiments
are presented to validate the stability and accuracy of the proposed schemes. |
| |
Keywords: | Phase field models Solid-state dewetting SAV Energy stability Surface diffusion Finite element method |
本文献已被 万方数据 等数据库收录! |
| 点击此处可从《计算数学(英文版)》浏览原始摘要信息 |
|