Volume 48, Issue 2
A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation

Weizhang Huang, Lennard Kamenski & Robert D. Russell

J. Math. Study, 48 (2015), pp. 168-186.

Published online: 2015-06

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  • Abstract

We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalization of Winslow's variable diffusion functional while the others are based on equidistribution and alignment. These functionals are known to have nice theoretical properties and work well for most mesh adaptation problems either as a stand-alone variational method or combined within the moving mesh framework. Their performance is investigated numerically in terms of equidistribution and alignment mesh quality measures. Numerical results in 2D and 3D are presented.

  • Keywords

Variational mesh adaptation Mesh adaptation Moving mesh Equidistribution Alignment Mesh quality measures

  • AMS Subject Headings

65N50, 65K10

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

whuang@ku.edu (Weizhang Huang)

kamenski@wias-berlin.de (Lennard Kamenski)

rdr@sfu.ca (Robert D. Russell)

  • BibTex
  • RIS
  • TXT
@Article{JMS-48-168, author = {Huang , Weizhang and Kamenski , Lennard and Russell , Robert D. }, title = {A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation}, journal = {Journal of Mathematical Study}, year = {2015}, volume = {48}, number = {2}, pages = {168--186}, abstract = {We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalization of Winslow's variable diffusion functional while the others are based on equidistribution and alignment. These functionals are known to have nice theoretical properties and work well for most mesh adaptation problems either as a stand-alone variational method or combined within the moving mesh framework. Their performance is investigated numerically in terms of equidistribution and alignment mesh quality measures. Numerical results in 2D and 3D are presented.}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v48n2.15.04}, url = {http://global-sci.org/intro/article_detail/jms/9917.html} }
TY - JOUR T1 - A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation AU - Huang , Weizhang AU - Kamenski , Lennard AU - Russell , Robert D. JO - Journal of Mathematical Study VL - 2 SP - 168 EP - 186 PY - 2015 DA - 2015/06 SN - 48 DO - http://doi.org/10.4208/jms.v48n2.15.04 UR - https://global-sci.org/intro/article_detail/jms/9917.html KW - Variational mesh adaptation KW - Mesh adaptation KW - Moving mesh KW - Equidistribution KW - Alignment KW - Mesh quality measures AB - We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalization of Winslow's variable diffusion functional while the others are based on equidistribution and alignment. These functionals are known to have nice theoretical properties and work well for most mesh adaptation problems either as a stand-alone variational method or combined within the moving mesh framework. Their performance is investigated numerically in terms of equidistribution and alignment mesh quality measures. Numerical results in 2D and 3D are presented.
Weizhang Huang, Lennard Kamenski & Robert D. Russell. (2019). A Comparative Numerical Study of Meshing Functionals for Variational Mesh Adaptation. Journal of Mathematical Study. 48 (2). 168-186. doi:10.4208/jms.v48n2.15.04
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