A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection

Chen, Wenbin1; Li, Weijia2; Luo, Zhiwen2; Wang, Cheng3; Wang, Xiaoming4,5

2020-04

10.1051/m2an/2019054

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE   影响因子和分区

0764-583X

1290-3841

In this paper, a stabilized second order in time accurate linear exponential time differencing (ETD) scheme for the no-slope-selection thin film growth model is presented. An artificial stabilizing term A tau 2 partial derivative Delta 2u/partial derivative t is added to the physical model to achieve energy stability, with ETD-based multi-step approximations and Fourier collocation spectral method applied in the time integral and spatial discretization of the evolution equation, respectively. Long time energy stability and detailed infinity(0,T;?(2)) l infinity(0,T;l2) error analysis are provided based on the energy method, with a careful estimate of the aliasing error. In addition, numerical experiments are presented to demonstrate the energy decay and convergence rate.

Epitaxial thin film growth exponential time differencing long time energy stability convergence analysis second order scheme

SCI ; EI

英语

其他

[NSFC11871159]

Mathematics

Mathematics, Applied

WOS:000526646400001

EDP SCIENCES S A

20201508402945

Thin films ; Slope stability ; Error analysis ; Convergence of numerical methods

Roads and Streets:406.2 ; Numerical Methods:921.6

MATHEMATICS

Web of Science

1.Fudan Univ, Shanghai Key Lab Math Nonlinear Sci, Sch Math Sci, Shanghai 200433, Peoples R China
2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China
3.Univ Massachusetts, Dept Math, N Dartmouth, MA 02747 USA
4.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China
5.Southern Univ Sci & Technol, SUSTech Int Ctr Math, Shenzhen 518055, Peoples R China

Chen, Wenbin,Li, Weijia,Luo, Zhiwen,et al. A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection[J]. ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,2020,54(3):727-750.

Chen, Wenbin,Li, Weijia,Luo, Zhiwen,Wang, Cheng,&Wang, Xiaoming.(2020).A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection.ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE,54(3),727-750.

Chen, Wenbin,et al."A stabilized second order exponential time differencing multistep method for thin film growth model without slope selection".ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 54.3(2020):727-750.