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Proceedings of the 21st International Meshing Roundtable pp 191–209Cite as

Lattice Cleaving: Conforming Tetrahedral Meshes of Multimaterial Domains with Bounded Quality

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Summary

We introduce a new algorithm for generating tetrahedral meshes that conform to physical boundaries in volumetric domains consisting of multiple materials. The proposed method allows for an arbitrary number of materials, produces high-quality tetrahedral meshes with upper and lower bounds on dihedral angles, and guarantees geometric fidelity. Moreover, the method is combinatoric so its implementation enables rapid mesh construction. These meshes are structured in a way that also allows grading, in order to reduce element counts in regions of homogeneity.

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Authors and Affiliations

  1. Scientific Computing and Imaging Institute, Salt Lake City, UT, U.S.A.

    Jonathan R. Bronson, Joshua A. Levine & Ross T. Whitaker

Authors
  1. Jonathan R. Bronson
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  2. Joshua A. Levine
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  3. Ross T. Whitaker
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Corresponding author

Correspondence to Jonathan R. Bronson .

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Editors and Affiliations

  1. , Department of Applied Mathematics &, Stony Brook University, Stony Brook, 11794-3600, New York, USA

    Xiangmin Jiao

  2. , Bruyeres le Chatel, CEA, Arpajon Cedex, 91297, France

    Jean-Christophe Weill

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Bronson, J.R., Levine, J.A., Whitaker, R.T. (2013). Lattice Cleaving: Conforming Tetrahedral Meshes of Multimaterial Domains with Bounded Quality. In: Jiao, X., Weill, JC. (eds) Proceedings of the 21st International Meshing Roundtable. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33573-0_12

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  • DOI: https://doi.org/10.1007/978-3-642-33573-0_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-33572-3

  • Online ISBN: 978-3-642-33573-0

  • eBook Packages: EngineeringEngineering (R0)

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