Iterative Solution of Generalized Eigenvalue Problems from Optoelectronics with Trilinos
Veprek, Ratko G.
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
Journal / seriesTechnical Reports
Pages / Article No.
SubjectGeneralized Eigenvalue Problem; electronic structure; k·p method; Trilinos; Anasazi; Davidson; Jacobi-Davidson; LOBPCG; Krylov-Schur
Organisational unit03249 - Gander, Walter
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