@inproceedings{ac5a82a1f1d14bc394a4aed9356b7fbc,
title = "Fourier method for approximating eigenvalues of indefinite stekloff operator",
abstract = "We introduce an efficient method for computing the Stekloff eigenvalues associated with the indefinite Helmholtz equation. In general, this eigenvalue problem requires solving the Helmholtz equation with Dirichlet and/or Neumann boundary condition repeatedly. We propose solving the discretized problem with Fast Fourier Transform (FFT) based on carefully designed extensions and restrictions operators. The proposed Fourier method, combined with proper eigensolver, results in an efficient and easy approach for computing the Stekloff eigenvalues.",
author = "Yangqingxiang Wu and Ludmil Zikatanov",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG, part of Springer Nature 2018.; 3rd International Conference on High Performance Computing in Science and Engineering, HPCSE 2017 ; Conference date: 22-05-2017 Through 25-05-2017",
year = "2018",
doi = "10.1007/978-3-319-97136-0_3",
language = "English (US)",
isbn = "9783319971353",
series = "Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)",
publisher = "Springer Verlag",
pages = "34--46",
editor = "Jakub Sistek and Petr Tichy and Tomas Kozubek and Martin Cermak and Dalibor Lukas and Jiri Jaros and Radim Blaheta",
booktitle = "High Performance Computing in Science and Engineering - 3rd International Conference, HPCSE 2017, Revised Selected Papers",
address = "Germany",
}