• Corpus ID: 238634183

Inexact IETI-DP for conforming isogeometric multi-patch discretizations

@article{Schneckenleitner2021InexactIF,
  title={Inexact IETI-DP for conforming isogeometric multi-patch discretizations},
  author={Rainer Schneckenleitner and Stefan Takacs},
  journal={ArXiv},
  year={2021},
  volume={abs/2110.06087}
}
In this paper, we investigate Dual-Primal Isogeometric Tearing and Interconnecting (IETI-DP) methods for conforming Galerkin discretizations on multi-patch computational domains with inexact subdomain solvers. Recently, the authors have proven a condition number estimate for a IETI-DP method using sparse LU factorizations for the subdomain problems that is explicit, among other parameters, in the grid size and the spline degree. In the present paper, we replace the sparse LU factorizations by… 
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In this paper, we investigate inexact variants of dual-primal isogeometric tearing and interconnecting methods for solving large-scale systems of linear equations arising from Galerkin isogeometric…
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TLDR
This work derives condition number bounds that show the expected behavior in the grid size h and that are quasi-linear in the spline degree p and provides a convergence analysis that covers several choices of the primal degrees of freedom: the vertex values, the edge averages, and the combination of both.