Triangulations and tetrahedrizations are important geometrical discretization procedures applied to several areas, such as the reconstruction of surfaces and data visualization. Delaunay and Voronoi tessellations are discretization structures of domains with desirable geometrical properties. In this work, a systematic review of algorithms with linear-time behaviour to generate 2D/3D Delaunay and/or Voronoi tess...
Neste trabalho, abordam-se malhas móveis para a resolução numérica de equações diferenciais parciais. Conceitos importantes neste contexto são descritos, bem como indicados trabalhos existentes para a solução de equações diferenciais parciais pelos métodos dos volumes finitos e dos elementos finitos ambos com malhas móveis.
A novel graph-based adaptive mesh refinement technique for triangular finite-volume discretizations in order to solve second-order partial differential equations is described. Adaptive refined meshes are built in order to solve time dependent problems aiming low computational costs. In the approach proposed, flexibility to link and traverse nodes among neighbors in different levels of refinement is admitted; an...
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