A nested Schur complement solver with meshindependent convergence for the time domain photonics modeling
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 socalled double saddle point systems whose structure is handled by the Schur complement solver in a nested, twolevel fashion. The solver is demonstrated to have a meshindependent 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.
 Publication:

arXiv eprints
 Pub Date:
 January 2019
 arXiv:
 arXiv:1901.11521
 Bibcode:
 2019arXiv190111521B
 Keywords:

 Mathematics  Numerical Analysis;
 Computer Science  Numerical Analysis;
 Physics  Computational Physics;
 65F08;
 65N22;
 65L05;
 35Q61
 EPrint:
 14 pages, 4 figures