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Volume 13, Issue 5
Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization

Jian Zhang & Qiang Du

DOI: 10.4208/cicp.261211.290612a

Commun. Comput. Phys., 13 (2013), pp. 1209-1226.

Published online: 2013-05

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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 numerically 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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@Article{CiCP-13-1209, author = {Jian Zhang and Qiang Du}, title = {Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {5}, pages = {1209--1226}, 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 numerically solved phase field functions or order parameters. Numerical examples and applications to the topological analysis of point clouds are also presented.


}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.261211.290612a}, url = {http://global-sci.org/intro/article_detail/cicp/7271.html} }
TY - JOUR T1 - Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization AU - Jian Zhang & Qiang Du JO - Communications in Computational Physics VL - 5 SP - 1209 EP - 1226 PY - 2013 DA - 2013/05 SN - 13 DO - http://doi.org/10.4208/cicp.261211.290612a UR - https://global-sci.org/intro/article_detail/cicp/7271.html KW - AB -

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 numerically solved phase field functions or order parameters. Numerical examples and applications to the topological analysis of point clouds are also presented.


Jian Zhang and Qiang Du. (2013). Retrieving Topological Information of Implicitly Represented Diffuse Interfaces with Adaptive Finite Element Discretization. Communications in Computational Physics. 13 (5). 1209-1226. doi:10.4208/cicp.261211.290612a
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