• Complex
  • Title
  • Keyword
  • Abstract
  • Scholars
  • Journal
  • ISSN
  • Conference
搜索

Author:

Cheng, Qing (Cheng, Qing.) | Shen, Jie (Shen, Jie.) | Yang, Xiaofeng (Yang, Xiaofeng.)

Indexed by:

EI Scopus SCIE

Abstract:

We develop in this paper highly efficient, second order and unconditionally energy stable schemes for the epitaxial thin film growth models by using the scalar auxiliary variable (SAV) approach. A main difficulty here is that the nonlinear potential for the model without slope selection is not bounded from below so the SAV approach can not be directly applied. We overcome this difficulty with a suitable splitting of the total free energy density into two parts such that the integral of the part involving the nonlinear potential becomes bounded from below so that the SAV approach can be applied. We then construct a set of linear, second-order and unconditionally energy stable schemes for the reformulated systems. These schemes lead to decoupled linear equations with constant coefficients at each time step so that they can be implemented easily and very efficiently. We present ample numerical results to demonstrate the stability and accuracy of our SAV schemes.

Keyword:

Coarsening dynamics Energy stable Gradient flow Thin film epitaxy

Author Community:

  • [ 1 ] [Cheng, Qing]Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
  • [ 2 ] [Shen, Jie]Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
  • [ 3 ] [Cheng, Qing]Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China
  • [ 4 ] [Shen, Jie]Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China
  • [ 5 ] [Shen, Jie]Purdue Univ, Dept Math, W Lafayette, IN 47907 USA
  • [ 6 ] [Yang, Xiaofeng]Univ South Carolina, Dept Math, Columbia, SC 29208 USA
  • [ 7 ] [Yang, Xiaofeng]Beijing Univ Technol, Beijing Inst Sci & Engn Comp, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Shen, Jie]Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China;;[Shen, Jie]Xiamen Univ, Fujian Prov Key Lab Math Modeling & High Performa, Xiamen 361005, Fujian, Peoples R China;;[Shen, Jie]Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

Show more details

Related Keywords:

Source :

JOURNAL OF SCIENTIFIC COMPUTING

ISSN: 0885-7474

Year: 2019

Issue: 3

Volume: 78

Page: 1467-1487

2 . 5 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

ESI HC Threshold:54

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 68

SCOPUS Cited Count: 70

ESI Highly Cited Papers on the List: 26 Unfold All

  • 2025-5
  • 2025-3
  • 2025-1
  • 2024-11
  • 2024-11
  • 2024-9
  • 2024-9
  • 2024-7
  • 2024-5
  • 2024-3
  • 2024-1
  • 2023-11
  • 2023-9
  • 2023-5
  • 2023-3
  • 2023-1
  • 2022-11
  • 2022-9
  • 2022-7
  • 2022-5
  • 2022-3
  • 2022-3
  • 2022-3
  • 2022-1
  • 2021-11
  • 2021-9

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 8

Affiliated Colleges:

Online/Total:731/10595732
Address:BJUT Library(100 Pingleyuan,Chaoyang District,Beijing 100124, China Post Code:100124) Contact Us:010-67392185
Copyright:BJUT Library Technical Support:Beijing Aegean Software Co., Ltd.