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The electric field in the conductive half space as a model in mining and petroleum prospecting
Author(s) -
Goldman Y.,
Joly P.,
Kern M.,
Nedelec J. C.
Publication year - 1989
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670110306
Subject(s) - electrical conductor , mathematics , maxwell's equations , finite element method , boundary value problem , operator (biology) , domain (mathematical analysis) , mathematical analysis , boundary (topology) , integral equation , half space , space (punctuation) , prospecting , field (mathematics) , physics , computer science , pure mathematics , geology , engineering , electrical engineering , biochemistry , chemistry , mining engineering , repressor , gene , transcription factor , thermodynamics , operating system
Abstract We present a formulation of Maxwell's equations in a conductive medium, in the time domain. In order to restrict the equations to the conductive half space, the solution in the air is represented by an integral boundary operator on the interface. The problem admits a variational formulation, allowing a finite element solution. A mathematical analysis is described for 2D and 3D models, and numerical results are presented.