Author： Collino F. Joly P. Millot F.
Publisher： Academic Press
ISSN： 0021-9991
Source： Journal of Computational Physics, Vol.138, Iss.2, 1997-12, pp. : 907-938
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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 is 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 superior accuracy of this new method over the method using a staircase-like approximation of the boundary. Copyright 1997 Academic Press.
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