A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling
Numerical Analysis
2019-02-01 v1 Numerical Analysis
Computational Physics
Abstract
A nested Schur complement solver is proposed for iterative solution of linear systems arising in exponential and implicit time integration of the Maxwell equations with perfectly matched layer (PML) nonreflecting boundary conditions. These linear systems are the so-called double saddle point systems whose structure is handled by the Schur complement solver in a nested, two-level fashion. The solver is demonstrated to have a mesh-independent convergence at the outer level, whereas the inner level system is of elliptic type and thus can be treated efficiently by a variety of solvers.
Cite
@article{arxiv.1901.11521,
title = {A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling},
author = {Mike A. Botchev},
journal= {arXiv preprint arXiv:1901.11521},
year = {2019}
}
Comments
14 pages, 4 figures