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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References
Axelsson, O.: Iterative solution methods. Cambridge University Press, Cambridge (1994)
Axelsson, O., Gustafsson, I.: Iterative methods for the Navier equations of elasticity. Comp. Meth. Appl. Mech. Engin. 15, 241–258 (1978)
Axelsson, O., Margenov, S.: An optimal order multilevel preconditioner with respect to problem and discretization parameters. In: Minev, P., Wong, Y., Lin, Y. (eds.) Advances in Computations, Theory and Practice, vol. 7, pp. 2–18. Nova Science, New York (2001)
Blaheta, R.: Displacement Decomposition - incomplete factorization preconditioning techniques for linear elasticity problems. Numer. Lin. Alg. Appl. 1, 107–126 (1994)
Georgiev, I., Margenov, S.: DD-MIC(0) preconditioning of rotated trilinear FEM elasticity systems. Journal of Computer Assisted Mechanics and Engineering Sciences 11, 197–209 (2004)
Gustafsson, I.: An incomplete factorization preconditioning method based on modification of element matrices. BIT 36(1), 86–100 (1996)
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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
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