Mathematical simulation of diffraction of acoustic and electromagnetic fields on complex scatterers by the finite elements method

 

D. A. Konyaev, A. L. Delitsyn

Lomonosov Moscow State University, Faculty of Physics, Department of Mathematics

 

The paper is received on March 31, 2014

 

Abstract: This article is devoted to finite element analysis of scalar diffraction problem on two-dimensional and three-dimensional complex scatterers using partial radiation conditions. The article presents the main results of testing the proposing program. Tests have shown good agreement between the numerical and analytical solutions of the diffraction problem on canonical scatterers: on an infinite cylinder in the two-dimensional case and sphere in the three-dimensional case. Also, to demonstrate the capabilities of the developed program, number of calculations for diffraction on complex scatterers was presented.

Key words: diffraction problem, finite element method, partial radiation conditions.