Theoretically supported scalable BETI method for variational inequalities |
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Authors: | Ji?i Bouchala Z Dostál M Sadowská |
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Affiliation: | (1) Department of Applied Mathematics, VŠB–Technical University of Ostrava, Ostrava, Czech Republic |
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Abstract: | Summary The Boundary Element Tearing and Interconnecting (BETI) methods were recently introduced as boundary element counterparts
of the well established Finite Element Tearing and Interconnecting (FETI) methods. Here we combine the BETI method preconditioned
by the projector to the “natural coarse grid” with recently proposed optimal algorithms for the solution of bound and equality
constrained quadratic programming problems in order to develop a theoretically supported scalable solver for elliptic multidomain
boundary variational inequalities such as those describing the equilibrium of a system of bodies in mutual contact. The key
observation is that the “natural coarse grid” defines a subspace that contains the solution, so that the preconditioning affects
also the non-linear steps. The results are validated by numerical experiments.
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Keywords: | 65N38 65N55 65K05 |
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