Approximate models for the Maxwell equations

P. A. Raviart, E. Sonnendrücker

Research output: Contribution to journalArticlepeer-review


Starting from a variational formulation of Maxwell's equations with perfectly conducting and Silver-Müller boundary conditions, we set an abstract framework in which to perform an asymptotic analysis with respect to a small parameter v/c where v is a characteristic speed of the considered physics problem and c the speed of light. We then derive a variational formulation for the first and second order approximate models. We here particularly emphasize the second order model which is known as the Darwin model and thanks to an interpretion of the variational formulation, give the correct boundary conditions for this problem.

Original languageEnglish
Pages (from-to)653-654
Number of pages2
JournalZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
Issue numberSUPPL. 2
StatePublished - 1996
Externally publishedYes


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