Summary
In this paper, we construct an auxiliary space preconditioner for Maxwell’s equations with interface, and generalize the HX preconditioner developed in [9] to the problem with strongly discontinuous coefficients. For the H(curl) interface problem, we show that the condition number of the HX preconditioned system is uniformly bounded with respect to the coefficients and meshsize.
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Acknowledgments
The first author was supported in part by NSF DMS-0609727, NSFC-10528102 and Alexander von Humboldt Research Award for Senior US Scientists. The second author would like to thank his postdoctoral advisor Professor Michael Holst for his encouragement and support through NSF Awards 0715146 and 0411723.
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Xu, J., Zhu, Y. (2011). Robust Preconditioner for H(curl) Interface Problems. 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_18
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DOI: https://doi.org/10.1007/978-3-642-11304-8_18
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