The solvability of time-harmonic Maxwell equations in the 3D-case with nonhomogeneous conductivities is considered by adapting Sobolev space technique and variational formulation of the problem in question. Moreover, a finite element approximation is presented in the 3D-case together with an error estimate in the energy norm. Some remarks are given to the 2D-problem arising from geophysics.
@article{104379,
author = {Michal K\v r\'\i \v zek and Pekka Neittaanm\"aki},
title = {On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation},
journal = {Applications of Mathematics},
volume = {34},
year = {1989},
pages = {480-499},
zbl = {0696.65085},
mrnumber = {1026513},
language = {en},
url = {http://dml.mathdoc.fr/item/104379}
}
Křížek, Michal; Neittaanmäki, Pekka. On time-harmonic Maxwell equations with nonhomogeneous conductivities: Solvability and FE-approximation. Applications of Mathematics, Tome 34 (1989) pp. 480-499. http://gdmltest.u-ga.fr/item/104379/
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