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Transformation of Hexaedral Finite Element Meshes into Tetrahedral Meshes According to Quality Criteria

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Abstract

The paper is concerned with algorithms for transforming hexahedral finite element meshes into tetrahedral meshes without introducing new nodes. Known algorithms use only the topological structure of the hexahedral mesh but no geometry information. The paper provides another algorithm which is then extented such that quality criteria for the splitting of faces are respected.

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Authors and Affiliations

  1. Technische Universität Chemnitz Fakultät für Mathematik, Reichenhainer Str. 41, D-09126, Chemnitz, Germany

    T. Apel

  2. Technische Universität Chemnitz Fakultät für Mathematik, Reichenhainer Str. 41, D-09126, Chemnitz, Germany

    N. Düvelmeyer

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  1. T. Apel
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  2. N. Düvelmeyer
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Correspondence to T. Apel.

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Apel, T., Düvelmeyer, N. Transformation of Hexaedral Finite Element Meshes into Tetrahedral Meshes According to Quality Criteria. Computing 71, 293–304 (2003). https://doi.org/10.1007/s00607-003-0031-5

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  • DOI: https://doi.org/10.1007/s00607-003-0031-5

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