Efficient Linearly and Unconditionally Energy Stable Schemes for the Phase Field Model of Solid-State Dewetting Problems

被引：0

作者：

He, Zhengkang ^{[1
]}

Chen, Jie ^{[1
]}

Chen, Zhangxin ^{[1
,2
]}

机构：

[1] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Shaanxi, Peoples R China

[2] Univ Calgary, Schulich Sch Engn, 2500 Univ Dr NW, Calgary, AB T2N 1N4, Canada

来源：

COMPUTATIONAL SCIENCE - ICCS 2018, PT III | 2018年 / 10862卷

关键词：

Phase field models; Solid-state dewetting; SAV; Energy stability; Surface diffusion; Finite element methods; CAPILLARY INSTABILITIES; 2ND-ORDER; THIN;

D O I：

10.1007/978-3-319-93713-7_8

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

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 approach SAV (scalar auxiliary variable), 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. It is shown that the schemes are unconditionally stable and the discrete equations are uniquely solvable for all time steps. We present some numerical experiments to validate the stability and accuracy of the proposed schemes.

引用

页码：102 / 112

页数：11

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