Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901940 | Journal of Computational and Applied Mathematics | 2018 | 13 Pages |
Abstract
Complex-valued Helmholtz equations arise in various applications, and a lot of research has been devoted to finding efficient preconditioners for the iterative solution of their discretizations. In this paper we consider the Helmholtz equation rewritten in real-valued block form, and use a preconditioner in a special two-by-two block form. We show that the corresponding preconditioned Krylov iteration converges at a mesh-independent superlinear rate.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Owe Axelsson, János Karátson, Fréderic Magoulès,