Innovative mimetic discretizations for electromagnetic problems

  title={Innovative mimetic discretizations for electromagnetic problems},
  author={Franco Brezzi and Annalisa Buffa},
  journal={J. Computational Applied Mathematics},
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… CONTINUE READING
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Scalar products of discrete differential forms

  • F. Brezzi, A. Buffa
  • Tech. Rep., IMATI-CNR,
  • 2007
Highly Influential
6 Excerpts

A newdiscretizationmethodology for diffusion problems on generalized polyhedralmeshes

  • F. Brezzi, K. Lipnikov, M. Shashkov, V. Simoncini
  • Comput. Methods Appl. Mech. Engrg
  • 2007
Highly Influential
4 Excerpts

Vector potentials in three - dimensional nonsmooth domains

  • C. Bernardi C. Amrouche, M. Dauge, V. Girault
  • Math . Meth . Appl . Sci .
  • 2007

Principles ofmimetic discretizations of differential operators

  • D. Boffi
  • Math . Appl .
  • 2006

A family of mimetic finite difference methods on polygonal and polyhedral meshes, Math

  • F. Brezzi, K. Lipnikov, V. Simoncini
  • Models Methods Appl. Sci
  • 2005
3 Excerpts

A newdiscretizationmethodology for diffusion problems on generalized polyhedralmeshes , Comput

  • K. Lipnikov F. Brezzi, M. Shashkov, V. Simoncini
  • Methods Appl . Mech . Engrg .
  • 2005

H 1 , H ( curl ) and H ( div )conforming projectionbased interpolation in three dimensions . Quasioptimal pinterpolation estimates , Comput

  • A. Buffa F. Brezzi
  • Methods Appl . Mech . Engrg .
  • 2005

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