26 citations · 93 across the 29 of their papers we have counts for
4 papers · 2 filters
Sylvester-based preconditioning for the waveguide eigenvalue problem
Emil Ringh, Giampaolo Mele, Johan Karlsson +1
We consider a nonlinear eigenvalue problem (NEP) arising from absorbing boundary conditions in the study of a partial differential equation (PDE) describing a waveguide. We propose…
The infinite bi-Lanczos method for nonlinear eigenvalue problems
Sarah W. Gaaf, Elias Jarlebring
We propose a two-sided Lanczos method for the nonlinear eigenvalue problem (NEP). This two-sided approach provides approximations to both the right and left eigenvectors of the eig…
Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map
Juan Carlos Araujo-Cabarcas, Christian Engstrom, Elias Jarlebring
We present an efficient procedure for computing resonances and resonant modes of Helmholtz problems posed in exterior domains. The problem is formulated as a nonlinear eigenvalue p…
Restarting for the Tensor Infinite Arnoldi method
Giampaolo Mele, Elias Jarlebring
An efficient and robust restart strategy is important for any Krylov-based method for eigenvalue problems. The tensor infinite Arnoldi method (TIAR) is a Krylov-based method for so…