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A two-level Schur complement solver with mesh-independent convergence for the time domain photonics modeling
M. A. Botchev
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.
Keywords:
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.
Citation:
M. A. Botchev, “A two-level Schur complement solver with mesh-independent convergence for the time domain photonics modeling”, Keldysh Institute preprints, 2020, 116, 21 pp.
Linking options:
https://www.mathnet.ru/eng/ipmp2907 https://www.mathnet.ru/eng/ipmp/y2020/p116
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Abstract page: | 59 | Full-text PDF : | 26 | References: | 13 |
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