A nested Schur complement solver with mesh-independent convergence for the time domain photonics modeling

被引：0
|
作者：
Botchev, M. A. [1 ]
机构：
[1] Russian Acad Sci, Keldysh Inst Appl Math, Miusskaya Sq 4, Moscow 125047, Russia
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2020年 / 80卷 / 02期
关键词：
Maxwell equations; Perfectly matched layer (PML) nonreflecting boundary conditions; Double saddle point systems; Schur complement preconditioners; Exponential time integration; Shift-and-invert Krylov subspace methods; MAXWELLS EQUATIONS; LINEAR-SYSTEMS; MATRIX; INTEGRATION; PRECONDITIONERS; IMPLEMENTATION; APPROXIMATIONS; PARAEXP;
D O I：
10.1016/j.camwa.2019.08.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2019 Elsevier Ltd. All rights reserved.
引用
收藏
页码：295 / 304
页数：10
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