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A comparative numerical study of meshing functionals for variational mesh adaptation

Numerical Analysis 2015-08-04 v2

Abstract

We present a comparative numerical study for three functionals used for variational mesh adaptation. One of them is a generalisation 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

Cite

@article{arxiv.1503.04709,
  title  = {A comparative numerical study of meshing functionals for variational mesh adaptation},
  author = {Weizhang Huang and Lennard Kamenski and Robert D. Russell},
  journal= {arXiv preprint arXiv:1503.04709},
  year   = {2015}
}

Comments

Additional example (H1), journal reference

R2 v1 2026-06-22T08:54:14.416Z