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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:zhangjian@sccas.cn
Email:qdu@math.psu.edu
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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

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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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