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Reports (Research Report) Year : 1996

Fictitious Domain Method for Unsteady Problems: Application to Electromagnetic Scattering

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Abstract

In this work, we present and implement a fictitious domain method for time dependent problems of scattering by obstacles. We focus our attention on the case of 2D electromagnetic waves and perfectly conducting boundaries. Such a method allows us to work with uniform meshes for the electric field, independently of the geometry of the obstacle, the boundary condition being taken into account via the introduction of a Lagrange multiplier that can be interpreted as a surface current. After a brief description of the method and a presentation of its main properties, we show the superiority in terms of accuracy of this new method over the method that consists in using a staircase like approximation of the boundary.
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Dates and versions

inria-00073735 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073735 , version 1

Cite

Francis Collino, Patrick Joly, Florence Millot. Fictitious Domain Method for Unsteady Problems: Application to Electromagnetic Scattering. [Research Report] RR-2963, INRIA. 1996. ⟨inria-00073735⟩
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