Inexact Dual-Primal Isogeometric Tearing and Interconnecting Methods
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In Isogeometric Analysis (IgA), non-trivial computational domains are often composed of volumetric patches where each of them is discretized by means of tensor-product B-splines or NURBS. In such a setting, the dual-primal IsogEometric Tearing and Interconnecting (IETI-DP) method, that is nothing but the generalization of the FETI-DP method to IgA, has proven to be a very efficient solver for huge systems of IgA equations. Using IETI-DP, basically any patch-local solver can be extended to the global problem. So far, only direct solvers have been considered as patch-local solvers. In the present paper, we compare them with the option of using robust multigrid as patch-local solver. This is of special interest for large-scale patch-local systems or/and for large spline degrees, because the convergence of standard smoothers deteriorates with large spline degrees and the robust multigrid smoother chosen is only available on tensor-product discretizations.
This work was supported by the Austrian Science Fund (FWF) under the grant W1214, project DK4, and via the NFN project S117-03. This support is gratefully acknowledged.
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