Iterative solution of generalized eigenvalue problems from optoelectronics with trilinos

Open access
Date
2012Type
- Report
ETH Bibliography
yes
Altmetrics
Abstract
In this paper, we study the iterative solution of generalized Hermitian eigenvalue problems arising from the finite-element discretization of k·p models of optoelectronic nano systems. We are interested in computing the eigenvalues close to the band-gap which determine electronic and optical properties of a given system. Our work is based on the Trilinos project which provides an object-oriented software framework of integrated algorithms for the solution of large-scale physics problems. Trilinos enables users to combine state-of-the-art eigensolvers with efficient preconditioners, sparse solvers, and partitioning methods. Our study illustrates these possibilities and evaluates various algorithms for their suitability in the context of our physical problem setting. Show more
Permanent link
https://doi.org/10.3929/ethz-a-006821768Publication status
publishedJournal / series
Technical report / Computer Science Department, ETH ZürichVolume
Publisher
Eidgenössische Technische Hochschule Zürich, Institute of Computational ScienceSubject
Jacobi-Davidson; Anasazi; Davidson; Electronic structure; Krylov-Schur; LOBPCG; k·p method; Generalized Eigenvalue Problem; TrilinosOrganisational unit
02150 - Dep. Informatik / Dep. of Computer Science
More
Show all metadata
ETH Bibliography
yes
Altmetrics