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Innovative mimetic discretizations for electromagnetic problems

✍ Scribed by Franco Brezzi; Annalisa Buffa

Book ID
104006873
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
308 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

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 timeharmonic 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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