A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions
Numerical Analysis
2024-02-14 v1 Numerical Analysis
Abstract
This paper introduces a method for computing eigenvalues and eigenvectors of a generalized Hermitian, matrix eigenvalue problem. The work is focused on large scale eigenvalue problems, where the application of a direct inverse is out of reach. Instead, an explicit time-domain integrator for the corresponding wave problem is combined with a proper filtering and a Krylov iteration in order to solve for eigenvalues within a given region of interest. We report results of small scale model problems to confirm the reliability of the method, as well as the computation of acoustic resonances in a three dimensional model of a hunting horn to demonstrate the efficiency.
Cite
@article{arxiv.2402.08515,
title = {A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions},
author = {Lothar Nannen and Markus Wess},
journal= {arXiv preprint arXiv:2402.08515},
year = {2024}
}