Fictitious domain method for unsteady problems: Application to electromagnetic scattering

被引：40

作者：

Collino, F

Joly, P

Millot, F

机构：

[1] INRIA, F-78153 Le Chesnay, France

[2] CERFACS, F-31057 Toulouse, France

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 1997年 / 138卷 / 02期

关键词：

fictitious domain method for unsteady problems; partial differential equations; discretization; finite elements method; finite difference time method in and domain; electromagnetic scattering; diffraction;

D O I：

10.1006/jcph.1997.5849

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 1997 Academic Press.

引用

页码：907 / 938

页数：32