An anisotropic unstructured triangular adaptive mesh algorithm based on error and error gradient information

F. Marcuzzi, M.Morandi Cecchi and M. Venturin

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 78, issue 5, 645-652

Abstract: In this paper, an algorithm based on unstructured triangular meshes using standard refinement patterns for anisotropic adaptive meshes is presented. It consists of three main actions: anisotropic refinement, solution-weighted smoothing and patch unrefinement. Moreover, a hierarchical mesh formulation is used. The main idea is to use the error and error gradient on each mesh element to locally control the anisotropy of the mesh. The proposed algorithm is tested on interpolation and boundary-value problems with a discontinuous solution.

Keywords: Adaptive mesh refinement; Unrefinement; Anisotropic meshes; Finite elements; Error estimation and adaptivity (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:78:y:2008:i:5:p:645-652

DOI: 10.1016/j.matcom.2008.04.006

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