TY - JOUR
T1 - Anisotropic Mesh Adaptation Method Based on Anisotropic Bubble-Type Local Mesh Generation
AU - Guo , Wei
AU - Nie , Yufeng
AU - Zhang , Weiwei
JO - International Journal of Numerical Analysis and Modeling
VL - 5
SP - 745
EP - 766
PY - 2019
DA - 2019/08
SN - 16
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/13252.html
KW - Metric tensor, anisotropic mesh, adaptive finite element, node placement and local mesh generation.
AB - <p style="text-align: justify;">A new anisotropic adaptive mesh refinement method based on anisotropic bubble-type local mesh generation (ABLMG) for elliptic partial differential equations is proposed. The
anisotropic meshes are generated as quasi-uniform meshes in metric spaces with the metric determined on each vertex by anisotropic a posteriori error estimator. Under the new metric, the
error is equidistributed in the directions of maximum and minimum stretching on an element,
and the mesh size is reduced/coarsened in regions with large/small errors. With the full use of the
adjacent lists provided by the node placement method, the local mesh for each vertex is generated
through ABLMG method. Compared with other methods, the mesh refining and coarsening can
be obtained in the same framework and the mesh suits the metric well at each refinement level.
Numerical results in two-dimensions are presented to verify the ability of our metric tensor to
generate anisotropic mesh with correct concentration and stretching direction.</p>