- Author
- Year
- 2009
- Title
- Unconditionally stable integration of Maxwell’s equations
- Journal
- Linear Algebra and its Applications
- Volume | Issue number
- 431 | 3-4
- Pages (from-to)
- 300-317
- Document type
- Article
- Faculty
- Faculty of Science (FNWI)
- Institute
- Korteweg-de Vries Institute for Mathematics (KdVI)
- 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.
- URL
- go to publisher's site
- Language
- Undefined/Unknown
- Permalink
- http://hdl.handle.net/11245/1.316080
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