Elliptic Variational Inequalities

Zdeněk Dostál ()
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Zdeněk Dostál: VŠB - Technical University Ostrava

Chapter Chapter 13 in Optimal Quadratic Programming and QCQP Algorithms with Applications, 2025, pp 307-318 from Springer

Abstract: Abstract Here, we introduce a model problem, the semi-coercive scalar variational inequality, describe its discretization and decomposition into subdomains and clusters, reduce the problem by duality to the bound and equality-constrained QP problem, and report some theoretical and numerical results. The results show the unique efficiency of the SMALBE/MPRGP algorithms combined with the FETI methods. The numerical experiments include the bound and/or equality QP problems discretized by billions of nodal variables and a challenging roller-bearing problem with floating bodies and dual degenerate solution.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-3-031-95167-1_13

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DOI: 10.1007/978-3-031-95167-1_13

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