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Three-Dimensional finite element mesh generation using delaunay tesselation

David Shenton, Z.J. Cendes

Open publisher page 75 citations

Abstract

A new method of three-dimensional finite element mesh generation is presented in this paper. The method is based on an extension of the Delaunay triangulation algorithm to three dimensions, Using the mesh generator, problems are defined by means of simple three-dimensional solid modeling commands. Mesh generation is performed automatically from the objects entered. Various two and three-dimensional Delaunay mesh generation algorithms are also compared and insights to robust mesh generation provided.

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What this paper is about

A new method of three-dimensional finite element mesh generation is presented in this paper. The method is based on an extension of the Delaunay triangulation algorithm to three dimensions, Using the mesh generator, problems are defined by means of simple three-dimensional solid modeling commands. Mesh generation is performed automatically from the objects entered. Various two and three-dimensional Delaunay mesh generation algorithms are also compared and insights to robust mesh generation provided.

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OpenAlex reports 75 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A new method of three-dimensional finite element mesh generation is presented in this paper. The method is based on an extension of the Delaunay triangulation algorithm to three dimensions, Using the mesh generator, problems are defined by means of simple three-dimensional solid modeling commands. Mesh generation is performed automatically from the objects entered. Various two and three-dimensional Delaunay mesh generation algorithms are also compared and insights to robust mesh generation provided.

Key concepts: Delaunay triangulation, Mesh generation, Finite element method, Computer science, Bowyer–Watson algorithm, Chew's second algorithm, Ruppert's algorithm, Constrained Delaunay triangulation

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