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Elliptic Variational Inequalities

In: Optimal Quadratic Programming and QCQP Algorithms with Applications

Author

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  • Zdeněk Dostál

    (VŠB - Technical University Ostrava)

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.

Suggested Citation

  • Zdeněk Dostál, 2025. "Elliptic Variational Inequalities," Springer Optimization and Its Applications, in: Optimal Quadratic Programming and QCQP Algorithms with Applications, edition 0, chapter 0, pages 307-318, Springer.
    • Handle: RePEc:spr:spochp:978-3-031-95167-1_13
    DOI: 10.1007/978-3-031-95167-1_13
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