Conference paper Open Access

Anisotropic Error Estimate for High-Order Parametric Surface Mesh Generation

Feuillet, Rémi; Coulaud, Olivier; Loseille, Adrien

Parametric surface mesh generation is one of the crucial step of the computational pipeline. Standard techniques, that are now mature, control the deviation to the tangent plane by using intrinsic quantities as the minimum and maximum curvatures. However, for high-order meshes, deriving intrinsic quantities that have the ability to control the mesh generation process is much more challenging. Indeed, those provided by the first and second fundamental forms of a surface are not sufficient when high order curved meshes are employed. In this paper, we introduce a new set of error estimates for high-order surface mesh generation. It is based on performing a Taylor expansion of the underlying surface in the tangent plane. The independence to the parametric space is obtained by using an inversion formula. High-order terms of this expansion are then used to derive an optimal metric by using the log-simplex approach. Examples are shown to prove the efficiency of the method.

Files (10.3 MB)
Name Size
05-Feuillet.pdf
md5:9fb09147e75d2d5ee8e90cdf21b8401e
10.3 MB Download
67
46
views
downloads
All versions This version
Views 6767
Downloads 4646
Data volume 475.2 MB475.2 MB
Unique views 6363
Unique downloads 4444

Share

Cite as