Naslov
Contour Integration Method for Nonlinear Eigenvalue Problems

Autori
Grubišić, Luka

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
ESCO 2020 Book of Abstracts / - Plzeň : Femhub, Inc., 2020, 140-140

Skup
7th European Seminar on Computing (ESCO 2020)

Mjesto i datum
Pilsen, Češka Republika, 08.06.2020. - 12.06.2020

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
nonlinear eigenvalue problems, finite elements, error estimates

Sažetak
In this talk we present a method for computing clusters of eigenvalues of nonlinear eigenvalue problems. Our method is based on the contour integration method of Beyn coupled with a reduced basis approximation of the resolvent. In order to allow for adaptive finite element discretizations we frame our method in the Hilbert space setting. Also, we consider eigenvalue problems posed in infinite domain. Our main model problems are wave-guide eigenvalue problems in electromagnetism, and Schroedinger Hamiltonians (possibly non self adjoint) posed in infinite domains. We present numerical experiments and discus this framework’s potential to accommodate a more general class of problems. This is the joint work with J. Gopalakrishnan, J Ovall, R. Schuhman, P. Jorkowski, M. Froidevaux and K. Schmidt.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

Napomena
Proceedings of ESCO 2020 will be published as a special issue of Journal of Computational And Applied Mathematics (JCAM) from Elsevier.

POVEZANOST RADA