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Proceedings chapter
English

A Schwarz Method for the Magnetotelluric Approximation of Maxwell’s Equations

Published inDomain decomposition methods in science and engineering XXV, Editors Haynes, Ronald, p. 417-424
Presented at proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, St. John's, Newfoundland, Canada, July 2018
PublisherCham : Springer
Collection
  • Lecture Notes in Computational Science and Engineering; 138
Publication date2020-10-25
First online date2020-10-25
Abstract

The magnetotelluric approximation of the Maxwell’s equations is used to model the propagation of low frequency electro-magnetic waves in the Earth’s subsurface, with the purpose of reconstructing the presence of mineral or oil deposits. We propose a classical Schwarz method for solving this magnetotelluric approximation of the Maxwell equations, and prove its convergence using maximum principle techniques. This is not trivial, since solutions are complex valued, and we need a new result that the magnetotelluric approximations satisfy a maximum modulus principle for our proof. We illustrate our analysis with numerical experiments.

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Citation (ISO format)
DONZELLI, Fabrizio, GANDER, Martin Jakob, HAYNES, Ronald D. A Schwarz Method for the Magnetotelluric Approximation of Maxwell’s Equations. In: Domain decomposition methods in science and engineering XXV. St. John’s, Newfoundland, Canada. Cham : Springer, 2020. p. 417–424. (Lecture Notes in Computational Science and Engineering) doi: 10.1007/978-3-030-56750-7_48
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ISBN978-3-030-56749-1
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