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• W2117493508 abstract "Numerical integration of Maxwell’s equations is often based on explicit methods accepting a stability step size restriction. In literature evidence is given that there is also a need for unconditionally stable methods, as exemplified by the successful alternating direction implicit – finite difference time domain scheme. In this paper, we discuss unconditionally stable integration for a general semi-discrete Maxwell system allowing non-Cartesian space grids as encountered in finite-element discretizations. Such grids exclude the alternating direction implicit approach. Particular attention is given to the second-order trapezoidal rule implemented with preconditioned conjugate gradient iteration and to second-order exponential integration using Krylov subspace iteration for evaluating the arising φ-functions. A three-space dimensional test problem is used for numerical assessment and comparison with an economical second-order implicit–explicit integrator." @default.
• W2117493508 created "2016-06-24" @default.
• W2117493508 creator A5046411012 @default.
• W2117493508 creator A5081028896 @default.
• W2117493508 date "2009-07-01" @default.
• W2117493508 modified "2023-09-23" @default.
• W2117493508 title "Unconditionally stable integration of Maxwell’s equations" @default.
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• W2117493508 doi "https://doi.org/10.1016/j.laa.2008.12.036" @default.
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