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arXiv · 1912.07909

Condition number bounds for IETI-DP methods that are explicit in h and p

Rainer Schneckenleitner·Stefan Takacs
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Abstract

We study the convergence behavior of Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for solving large-scale algebraic systems arising from multi-patch Isogeometric Analysis. We focus on the Poisson problem on two dimensional computational domains. We provide a convergence analysis that covers several choices of the primal degrees of freedom: the vertex values, the edge averages, and the combination of both. We derive condition number bounds that show the expected behavior in the grid size h and that are quasi-linear in the spline degree p.

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Rainer Schneckenleitner, Stefan Takacs. 2019-12-17. Condition number bounds for IETI-DP methods that are explicit in h and p. https://doi.org/10.1142/s0218202520500384

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