Abstract
The study of optimized Schwarz methods for Maxwell’s equations started with the Helmholtz equation, see [2–4, 11]. For the rot-rot formulation of Maxwell’s equations, optimized Schwarz methods were developed in [1], and for the more general form in [9, 10]. An entire hierarchy of families of optimized Schwarz methods was analyzed in [8], see also [5] for discontinuous Galerkin discretizations and large scale experiments. We present in this paper a first analysis of optimized Schwarz methods for Maxwell’s equations with non-zero electric conductivity. This is an important case for real applications, and requires a new, and fundamentally different optimization of the transmission conditions. We illustrate our analysis with numerical experiments.
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Dolean, V., Bouajaji, M.E., Gander, M.J., Lanteri, S. (2011). Optimized Schwarz Methods for Maxwell’s Equations with Non-zero Electric Conductivity. In: Huang, Y., Kornhuber, R., Widlund, O., Xu, J. (eds) Domain Decomposition Methods in Science and Engineering XIX. Lecture Notes in Computational Science and Engineering, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11304-8_30
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DOI: https://doi.org/10.1007/978-3-642-11304-8_30
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