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Anisotropic Delaunay Mesh Generation
Abstract : Anisotropic meshes are triangulations of a given domain in the plane or in higher dimensions, with elements elongated along prescribed directions. Anisotropic trian-gulations are known to be well suited for interpolation of functions or solving PDEs. Assuming that the anisotropic shape requirements for mesh elements are given through a metric field varying over the domain, we propose a new approach to anisotropic mesh generation, relying on the notion of anisotropic Delaunay meshes. An anisotropic De-launay mesh is defined as a mesh in which the star of each vertex v consists of simplices that are Delaunay for the metric associated to vertex v. This definition works in any dimension and allows to define a simple refinement algorithm. The algorithm takes as input a domain and a metric field and provides, after completion, an anisotropic mesh whose elements are sized and shaped according to the metric field.
Cited literature [40 references]
https://hal.inria.fr/hal-01251628
Contributor : Jean-Daniel Boissonnat Connect in order to contact the contributor
Submitted on : Monday, October 24, 2016 - 11:08:40 PM
Last modification on : Friday, April 30, 2021 - 10:03:52 AM
Contributor : Jean-Daniel Boissonnat Connect in order to contact the contributor
Submitted on : Monday, October 24, 2016 - 11:08:40 PM
Last modification on : Friday, April 30, 2021 - 10:03:52 AM
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