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, Mesh adaptation, Moving mesh, Equidistribution, Alignment, Mesh quality measures.
AB - <p style="text-align: justify;">We present a comparative numerical study for three functionals used for
variational mesh adaptation. One of them is a generalization of Winslow&#39;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.</p>