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On a Novel Technique for Parallel Unstructured Mesh Generation in 3D

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Numerical Mathematics and Advanced Applications
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Summary

We present a novel approach to unstructured tetrahedral mesh generation in 3D with minimum geometrical input. The boundary of the domain is identified adaptively with adjustable precision. The grid points of the mesh are distributed by means of an algorithm based on the analogy with a system of electrically charged particles. A-priori local refinements of the mesh are possible. Surface and volume meshes are built using advancing-front-type algorithms. All steps of the algorithm are suitable for efficient parallelisation. An application of the presented approach is shown.

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References

  1. Cheung, Y.K., Lo, S.H., Leung, A.Y.T. (1996): Finite Element Implementation, Blackwell Science, Oxford

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  2. George, P.L. (1991): Automatic Mesh Generation: Application to Finite Element Methods, Wiley, New York

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  3. Schneiders, R.: http://www-users.informatik.rwth-aachen.de/~roberts/meshgeneration.html

  4. Šolín, P., (2000): On a Mesh Generation Technique Based on a Special Smoothing Procedure for Uniform Inner Point Distribution. Acta Technica ASCR, 45, 397–417.

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© 2004 Springer-Verlag Berlin Heidelberg

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Haškovec, J., Šolín, P. (2004). On a Novel Technique for Parallel Unstructured Mesh Generation in 3D. In: Feistauer, M., Dolejší, V., Knobloch, P., Najzar, K. (eds) Numerical Mathematics and Advanced Applications. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18775-9_39

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  • DOI: https://doi.org/10.1007/978-3-642-18775-9_39

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-62288-5

  • Online ISBN: 978-3-642-18775-9

  • eBook Packages: Springer Book Archive

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