A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions
<|reference_start|>A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions: 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.<|reference_end|>
@article{nannen2024a,
    title={A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions},
    author={Lothar Nannen, Markus Wess},
    journal={arXiv preprint arXiv:2402.08515},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.08515},
    primaryClass={math.NA cs.NA}
}