منابع مشابه
Anisotropic Delaunay Mesh Generation
Anisotropic meshes are triangulations of a given domain in the plane or in higher dimensions, with elements elongated along prescribed directions. Anisotropic triangulations 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 appro...
متن کاملFrom Delaunay triangulation to adaptive anisotropic mesh generation
We are concerned with Delaunay mesh generation methods and mesh adaptivity issues Planar surface and volume meshing have been automated to a large extent Over the last few years meshing activities have been focused on adap tive schemes where the features of a solution eld must be accurately captured To this end meshing techniques must be revisited in order to be capable of complet ing high qual...
متن کاملDelaunay-Based Anisotropic Mesh Adaptation
Science and engineering applications often have anisotropic physics and therefore require anisotropic mesh adaptation. In common with previous researchers on this topic, we use metrics to specify the desired mesh. Where previous approaches are typically heuristic and sometimes require expensive optimization steps, our approach is an extension of isotropic Delaunay meshing methods and requires o...
متن کاملDelaunay Refinement Mesh Generation
Delaunay refinement is a technique for generating unstructured meshes of triangles or tetrahedra suitable for use in the finite element method or other numerical methods for solving partial differential equations. Popularized by the engineering community in the mid-1980s, Delaunay refinement operates by maintaining a Delaunay triangulation or Delaunay tetrahedralization, which is refined by the...
متن کاملAnisotropic Delaunay Mesh Adaptation for Unsteady Simulations
Anisotropic mesh adaptation is a key feature in many numerical simulations to capture the physical behavior of a complex phenomenon at a reasonable computational cost. It is a challenging problem, especially when dealing with time dependent and interface capturing or tracking problems. In this paper, we describe a local mesh adaptation method based on an extension of the Delaunay kernel for cre...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2015
ISSN: 0097-5397,1095-7111
DOI: 10.1137/140955446