Journal
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Volume 123, Issue 20, Pages 4844-4858Publisher
WILEY
DOI: 10.1002/nme.7057
Keywords
BDDC; domain decomposition; FETI-DP; multilevel methods
Funding
- National Science Foundation [DMS1913201]
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In this paper, we propose a framework to approximately solve the coarse problem in the FETI-DP method by utilizing the multilevel BDDC method as the main tool. We demonstrate that the spectra of the multilevel FETI-DP and BDDC preconditioned operators are essentially the same and provide numerical experiments to support our theory.
We study a framework that allows to solve the coarse problem in the FETI-DP method approximately. It is based on the saddle-point formulation of the FETI-DP system with a block-triangular preconditioner. One of the blocks approximates the coarse problem, for which we use the multilevel BDDC method as the main tool. This strategy then naturally leads to a version of multilevel FETI-DP method, and we show that the spectra of the multilevel FETI-DP and BDDC preconditioned operators are essentially the same. The theory is illustrated by a set of numerical experiments, and we also present a few experiments when the coarse solve is approximated by algebraic multigrid.
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