scholarly journals Mesh Adaptation Method for Optimal Control With Non-Smooth Control Using Second-Generation Wavelet

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 135076-135086
Author(s):  
Zhiwei Feng ◽  
Qingbin Zhang ◽  
Jianquan Ge ◽  
Wuyu Peng ◽  
Tao Yang ◽  
...  
Keyword(s):  
Optimal Control ◽  
Second Generation ◽  
Mesh Adaptation ◽  
Smooth Control ◽  
Second Generation Wavelet ◽  
Adaptation Method

Nonlinear Enhancement Algorithm for Infrared Image Based on Second Generation Wavelet Transform

2009 ◽  
Vol 29 (2) ◽  
pp. 353-356 ◽  
Author(s):  
秦翰林 Qin Hanlin ◽  
周慧鑫 Zhou Huixin ◽  
刘上乾 Liu Shangqian ◽  
卢泉 Lu Quan
Keyword(s):  
Wavelet Transform ◽  
Second Generation ◽  
Infrared Image ◽  
Second Generation Wavelet Transform ◽  
Second Generation Wavelet ◽  
Enhancement Algorithm

A goal-oriented anisotropic hp-mesh adaptation method for linear convection–diffusion–reaction problems

2019 ◽  
Vol 78 (9) ◽  
pp. 2973-2993 ◽  
Author(s):  
Ondřej Bartoš ◽  
Vít Dolejší ◽  
Georg May ◽  
Ajay Rangarajan ◽  
Filip Roskovec
Keyword(s):  
Mesh Adaptation ◽  
Diffusion Reaction ◽  
Convection Diffusion ◽  
Adaptation Method

scholarly journals Entropy dissipation of moving mesh adaptation

2014 ◽  
Vol 11 (03) ◽  
pp. 633-653 ◽  
Author(s):  
Mária Lukáčová-Medvid'ová ◽  
Nikolaos Sfakianakis
Keyword(s):  
Numerical Stability ◽  
Sufficient Conditions ◽  
Mesh Adaptation ◽  
Moving Mesh ◽  
Nonlinear Conservation Laws ◽  
The Past ◽  
Entropy Dissipation ◽  
Uniform Grids ◽  
Mesh Reconstruction ◽  
Adaptation Method

Non-uniform grids and mesh adaptation have become an important part of numerical approximations of differential equations over the past decades. It has been experimentally noted that mesh adaptation leads not only to locally improved solution but also to numerical stability of the underlying method. In this paper we consider nonlinear conservation laws and provide a method to perform the analysis of the moving mesh adaptation method, including both the mesh reconstruction and evolution of the solution. We moreover employ this method to extract sufficient conditions — on the adaptation of the mesh — that stabilize a numerical scheme in the sense of the entropy dissipation.

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