scholarly journals A Third Order Exponential Time Differencing Numerical Scheme for No-Slope-Selection Epitaxial Thin Film Model with Energy Stability

2019 ◽  
Vol 81 (1) ◽  
pp. 154-185 ◽  
Author(s):  
Kelong Cheng ◽  
Zhonghua Qiao ◽  
Cheng Wang
Keyword(s):  
Thin Film ◽  
Numerical Scheme ◽  
Energy Stability ◽  
Epitaxial Thin Film ◽  
Third Order ◽  
Exponential Time ◽  
Exponential Time Differencing ◽  
Film Model ◽  
Thin Film Model ◽  
Slope Selection

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

2020 ◽  
Vol 54 (3) ◽  
pp. 727-750 ◽  
Author(s):  
Wenbin Chen ◽  
Weijia Li ◽  
Zhiwen Luo ◽  
Cheng Wang ◽  
Xiaoming Wang
Keyword(s):  
Thin Film ◽  
Growth Model ◽  
Film Growth ◽  
Multistep Method ◽  
Second Order ◽  
Thin Film Growth ◽  
Energy Stability ◽  
Exponential Time ◽  
Exponential Time Differencing ◽  
Slope Selection

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\frac{\mathrm{\partial }{\Delta }^2u}{\mathrm{\partial }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 𝓁∞(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.

A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

2011 ◽  
Vol 52 (3) ◽  
pp. 546-562 ◽  
Author(s):  
Wenbin Chen ◽  
Sidafa Conde ◽  
Cheng Wang ◽  
Xiaoming Wang ◽  
Steven M. Wise
Keyword(s):  
Thin Film ◽  
Film Model ◽  
Thin Film Model ◽  
Slope Selection ◽  
Energy Stable ◽  
Energy Stable Scheme ◽  
Stable Scheme

A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection

2018 ◽  
Vol 76 (3) ◽  
pp. 1905-1937 ◽  
Author(s):  
Weijia Li ◽  
Wenbin Chen ◽  
Cheng Wang ◽  
Yue Yan ◽  
Ruijian He
Keyword(s):  
Thin Film ◽  
Second Order ◽  
Film Model ◽  
Order Energy ◽  
Thin Film Model ◽  
Slope Selection ◽  
Linear Scheme ◽  
Energy Stable ◽  
Stable Linear

Development of Epitaxial Thin Film Model Electrodes for the Systematic Investigation of Metal Exsolution from MIEC Perovskite Oxides

2019 ◽  
Vol 91 (1) ◽  
pp. 1783-1789
Author(s):  
Moritz Lukas Weber ◽  
Qianli Ma ◽  
Paul Meuffels ◽  
Felix V. E. Hensling ◽  
Christian Lenser ◽  
...  
Keyword(s):  
Thin Film ◽  
Perovskite Oxides ◽  
Systematic Investigation ◽  
Epitaxial Thin Film ◽  
Film Model ◽  
Thin Film Model
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