Resilient asynchronous primal Schur method
Numerical Analysis
2023-12-25 v1 Numerical Analysis
Abstract
This paper introduces the application of the asynchronous iterations theory within the framework of the primal Schur domain decomposition method. A suitable relaxation scheme is designed, which asynchronous convergence is established under classical spectral radius conditions. For the usual case where the local Schur complement matrices are not constructed, suitable splittings only based on explicitly generated matrices are provided. Numerical experiments are conducted on a supercomputer for both Poisson's and linear elasticity problems. The asynchronous Schur solver outperformed the classical conjugate-gradient-based one in case of compute node failures.
Cite
@article{arxiv.2312.14715,
title = {Resilient asynchronous primal Schur method},
author = {Guillaume Gbikpi-Benissan and Frédéric Magoulès},
journal= {arXiv preprint arXiv:2312.14715},
year = {2023}
}