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Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems

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Numerical Methods and Applications (NMA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4310))

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Abstract

In this study, the topics of grid generation and FEM applications are studied together following their natural synergy. We consider the following three grid generators: Triangle, NETGEN and Gmsh. The quantitative analysis is based on the number of elements/nodes needed to obtain a triangulation of a given domain, satisfying a certain minimal angle condition. After that, the performance of two displacement decomposition (DD) preconditioners that exploit modified incomplete Cholesky factorization MIC(0) is studied in the case of FEM matrices arising from the discretization of the two-dimensional equations of elasticity on non-structured grids.

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Todor Boyanov Stefka Dimova Krassimir Georgiev Geno Nikolov

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© 2007 Springer Berlin Heidelberg

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Kosturski, N., Margenov, S. (2007). Comparative Analysis of Mesh Generators and MIC(0) Preconditioning of FEM Elasticity Systems. In: Boyanov, T., Dimova, S., Georgiev, K., Nikolov, G. (eds) Numerical Methods and Applications. NMA 2006. Lecture Notes in Computer Science, vol 4310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70942-8_8

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  • DOI: https://doi.org/10.1007/978-3-540-70942-8_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-70940-4

  • Online ISBN: 978-3-540-70942-8

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