scholarly journals WEIGHTED TECHNIQUE FOR FINITE ELEMENT GRADIENT RECOVERY AT BOUNDARY

2020 ◽  
Vol 3 (2) ◽  
pp. 27-31
Author(s):  
Y. Kashwaa ◽  
A. Elsaid ◽  
M. El-Agamy
Keyword(s):  
Finite Element ◽  
Gradient Recovery

Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

2013 ◽  
Vol 13 (5) ◽  
pp. 1209-1226
Author(s):  
Jian Zhang ◽  
Qiang Du
Keyword(s):  
Finite Element ◽  
Topological Analysis ◽  
Point Clouds ◽  
Diffuse Interface ◽  
Adaptive Finite Element ◽  
Gradient Recovery ◽  
Topological Information ◽  
Element Discretization ◽  
Diffuse Interfaces ◽  
Recovery Techniques

AbstractWe consider the finite element based computation of topological quantities of implicitly represented surfaces within a diffuse interface framework. Utilizing an adaptive finite element implementation with effective gradient recovery techniques, we discuss how the Euler number can be accurately computed directly from the nu-merically solved phase field functions or order parameters. Numerical examples and applications to the topological analysis of point clouds are also presented.

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