Abstract
This report presents our work on applying multigrid finite element techniques to the solution of electromagnetic scattering problems. We address in particular the topic of adaptive multigrid schedules. We demonstrate that multigrid algorithms based on these schedules are stable and efficient. We compare performances and results for analytically soluble problems, between single level methods and multigrid techniques with fixed and adaptive schedules.
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R. P. Fedorenko, “The speed of convergence of one iterative process”, USSR Comput. Math, and Math. Phys., vol. 4, pp. 227–235, 1964
A. Brandt, “Multilevel adaptive solutions to boundary value problems”, Math. Comput., vol. 31, pp.333–390, 1977
W. Hackbush, “On the convergence of multigrid iterations”, Beitr. Numer. Math., vol. 9, pp. 231–329,1981
K. Kalbasi and K. R. Demarest, “A multilevel formulation of the method of moments”, IEEE Trans. Antennas Propagat., vol. 41, no. 5, pp. 589–599, May 1993
Q. Ye, D. G. Fang, C. F. Wang and R. S. Chen, “Full multi-grid method for solving wave equation”, J. Microwaves of China, vol. 3, pp. 16–21, May 1994
K. Goverdahanam, E. Tentzeris, M. Krumpholz and L. P. B. Katehi, “An FDTD multigrid based on multiresolution analysis”, IEEE Trans. Antennas Propagat. Int. Symposium Digest, p. 352, July 1996
P. Wesseling, An Introduction to Multigrid Methods, Chichester: John Wiley & Sons, pp. 194–199, 1992
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© 2000 Springer-Verlag Berlin Heidelberg
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Atlamazoglou, P.E., Uzunoglu, N.K. (2000). Multigrid Techniques for the Finite Element Method in Electromagnetics. In: Uzunoglu, N.K., Nikita, K.S., Kaklamani, D.I. (eds) Applied Computational Electromagnetics. NATO ASI Series, vol 171. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59629-2_30
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DOI: https://doi.org/10.1007/978-3-642-59629-2_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-64059-9
Online ISBN: 978-3-642-59629-2
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