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

Published online by Cambridge University Press:  03 June 2015

Jian Zhang  and
Qiang Du
Jian Zhang*
Affiliation:
Supercomputing center, Chinese Academy of Sciences, Beijing, P.R. China State Key Laboratory of Space Weather, Chinese Academy of Sciences, Beijing, P.R. China
Qiang Du*
Affiliation:
Department of Mathematics, Pennsylvania State University, University Park, PA 16802, USA
*
Corresponding author.Email:[email protected]
Email:[email protected]
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Abstract

We 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.

Keywords

65N3057M5074A5092C05
Type
Research Article
Information
Communications in Computational Physics , Volume 13 , Issue 5 , May 2013 , pp. 1209 - 1226
Copyright
Copyright © Global Science Press Limited 2013

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