Summary
Since the introduction of Finite Element Tearing and Interconnecting (FETI) by Farhat and Roux in 1991, the method has been recognized to be an efficient parallel technique for the solution of partial differential equations. In 2003 Langer and Steinbach formulated its boundary element counterpart (BETI), which reduces the problem dimension to subdomain boundaries. Recently, we have applied both FETI and BETI to contact problems of mechanics.In this paper we numerically compare their variants bearing the prefix Total (TFETI/TBETI)on a frictionless Hertz contact problem and on a realistic problem with a given friction.
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Acknowledgements
This research has been financially supported by the grants GA CR 201/07/0294 and the Ministry of Education of the Czech Republic No. MSM6198910027. This work was also supported by the European Regional Development Fund in the IT4Innovations Centre of Excellence project (CZ.1.05/1.1.00/02.0070).
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Lukáš, D., Sadowská, M., Kozubek, T., Markopoulos, A., Brzobohatý, T. (2013). A Comparison of TFETI and TBETI for Numerical Solution of Engineering Problems of Contact Mechanics. In: Bank, R., Holst, M., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XX. Lecture Notes in Computational Science and Engineering, vol 91. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35275-1_40
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DOI: https://doi.org/10.1007/978-3-642-35275-1_40
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