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. • A new method for the computation of eigenvalues/resonances based on time-domain methods. • Solve large scale eigenvalue problems with very low memory requirement. • Compute eigenvalues only in a region of interest. • Computation of acoustic resonances of a hunting horn. [ABSTRACT FROM AUTHOR]