A local refinement algorithm for the longest-edge trisection of triangle meshes

Ángel Plaza, Sergio Falcón, José P. Suárez and Pilar Abad

Mathematics and Computers in Simulation (MATCOM), 2012, vol. 82, issue 12, 2971-2981

Abstract: In this paper we present a local refinement algorithm based on the longest-edge trisection of triangles. Local trisection patterns are used to generate a conforming triangulation, depending on the number of non-conforming nodes per edge presented. We describe the algorithm and provide a study of the efficiency (cost analysis) of the triangulation refinement problem. The algorithm presented, and its associated triangle partition, afford a valid strategy to refine triangular meshes. Some numerical studies are analysed together with examples of applications in the field of mesh refinement.

Keywords: Local refinement; Triangle trisection; Longest-edge algorithms (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:82:y:2012:i:12:p:2971-2981

DOI: 10.1016/j.matcom.2011.07.003

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