Solving contact mechanics problems with PERMON

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Abstract

PERMON makes use of theoretical results in quadratic programming algorithms and domain decomposition methods. It is built on top of the PETSc framework for numerical computations. This paper describes its fundamental packages and shows their applications. We focus here on contact problems of mechanics decomposed by means of a FETI-type non-overlapping domain decomposition method. These problems lead to inequality constrained quadratic programming problems that can be solved by our PermonQP package.

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Hapla, V., Horak, D., Pospisil, L., Cermak, M., Vasatova, A., & Sojka, R. (2016). Solving contact mechanics problems with PERMON. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 9611, pp. 101–115). Springer Verlag. https://doi.org/10.1007/978-3-319-40361-8_7

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