HAL: hal-00165049, version 3

DOI: 10.1109/TMAG.2007.916154

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IEEE Transactions on Magnetics 44, 6 (2008) 1154 -- 1157

Available versions:

v1 (2007-07-24)

v2 (2007-10-16)

v3 (2008-06-10)

Approximate conditions replacing thin layers

Clair Poignard (  Corresponding author ) 1, Patrick Dular 2, Ronan Perrussel 3, Laurent Krähenbühl 3, Laurent Nicolas 3, Michelle Schatzman 4

(2008-06)

We provide a rigorous asymptotic method to build approximate conditions equivalent to a thin layer. With these conditions the electromagnetic field may be computed in domains such as a biological cell, without meshing the membrane. The influence of the membrane is replaced by an appropriate condition on the inner domain, while in the thin layer, the approximate field is explicitly known. We give error estimates, which validate our asymptotic method, and we present a few numerical results performed with the finite element method.

1:	Centre de Mathématiques Appliquées (CMAP)
	CNRS : UMR7641 – Université de Versailles Saint-Quentin-en-Yvelines – Polytechnique - X
2:	Department of Electrical Engineering and Computer Science (Institut Montefiore)
	Université de Liège
3:	Ampère
	CNRS : UMR5005 – Université Claude Bernard - Lyon I – Institut National des Sciences Appliquées (INSA) - Lyon – Ecole Centrale de Lyon
4:	Institut Camille Jordan (ICJ)
	CNRS : UMR5208 – Université Claude Bernard - Lyon I – Ecole Centrale de Lyon – Institut National des Sciences Appliquées (INSA) - Lyon

Subject

:

Computer Science/Modeling and Simulation Engineering Sciences/Electromagnetism

Keyword(s): Asymptotic methods – thin layers – finite element method.

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From: Ronan Perrussel <>

Submitted on: Tuesday, 10 June 2008 17:05:26

Updated on: Monday, 6 September 2010 22:44:05