Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC
Numerical Analysis
2026-01-14 v1 Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2206.03425,
title = {Inexact and primal multilevel FETI-DP methods: a multilevel extension and interplay with BDDC},
author = {Bedřich Sousedík},
journal= {arXiv preprint arXiv:2206.03425},
year = {2026}
}
Comments
19 pages, 5 figures, 3 tables