FETI-DP for the three-dimensional Virtual Element Method
Numerical Analysis
2021-03-18 v2 Numerical Analysis
Abstract
We deal with the Finite Element Tearing and Interconnecting Dual Primal (FETI-DP) preconditioner for elliptic problems discretized by the virtual element method (VEM). We extend the result of [22] to the three dimensional case. We prove polylogarithmic condition number bounds, independent of the number of subdomains, the mesh size, and jumps in the diffusion coefficients. Numerical experiments validate the theory
Cite
@article{arxiv.1812.00635,
title = {FETI-DP for the three-dimensional Virtual Element Method},
author = {Silvia Bertoluzza and Micol Pennacchio and Daniele Prada},
journal= {arXiv preprint arXiv:1812.00635},
year = {2021}
}
Comments
35 pages