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arXiv · 2402.08515

A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions

Lothar Nannen·Markus Wess
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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.

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Lothar Nannen, Markus Wess. 2024-02-13. A Krylov Eigenvalue Solver Based on Filtered Time Domain Solutions. https://arxiv.org/abs/2402.08515

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