Fictitious Domain Method for Unsteady Problems:

✍ Scribed by Francis Collino; Patrick Joly; Florence Millot

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 817 KB
• Volume: 138
• Category: Article
• ISSN: 0021-9991
• DOI: 10.1006/jcph.1997.5849

✦ Synopsis

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.