Innovative mimetic discretizations for electromagnetic problems |
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Authors: | Franco Brezzi Annalisa Buffa |
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Institution: | a IUSS-University of Pavia, Italy b IMATI-CNR, Pavia, Italy |
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Abstract: | In this paper we introduce a discretization methodology for Maxwell equations based on Mimetic Finite Differences (MFD). Following the lines of the recent advances in MFD techniques (see Brezzi et al. (2007) 14] and the references therein) and using some of the results of Brezzi and Buffa (2007) 12], we propose mimetic discretizations for several formulations of electromagnetic problems both at low and high frequency in the time-harmonic regime. The numerical analysis for some of the proposed discretizations has already been developed, whereas for others the convergence study is an object of ongoing research. |
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Keywords: | Mimetic finite differences Electromagnetics |
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