Abstract
This contribution presents an algorithm for constrained minimization of strictly convex quadratic functions subject to simple bounds and separable ellipsoidal constraints. The algorithm is used for numerical solution of discretized 3D contact problems with orthotropic friction. These problems have been solved by a polygonal approximation of the friction cone. Our algorithm enables us to use the original friction cone without any approximation. Results of model examples are shown.
Mathematics Subject Classification (2010). Primary 90C25; Secondary 35J86, 49M25, 74P10.
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Acknowledgements
The work was supported by the ESF OPTPDE Research Programme. The first author acknowledges also the support of the grant GAČR P201/12/0671. The second and the third author acknowledge the support of the European Regional Development Fund in the IT4 Innovations Centre of Excellence project (CZ.1.05/1.1. 00/02.0070).
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Haslinger, J., Kučera, R., Kozubek, T. (2014). Convex Programming with Separable Ellipsoidal Constraints: Application in Contact Problems with Orthotropic Friction. In: Hoppe, R. (eds) Optimization with PDE Constraints. Lecture Notes in Computational Science and Engineering, vol 101. Springer, Cham. https://doi.org/10.1007/978-3-319-08025-3_7
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DOI: https://doi.org/10.1007/978-3-319-08025-3_7
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