Numerical solution of 3-D Neuman problem for scalar Helmholtz equation at the bodies of complex shapes

Author

Lifanov, I. ; Lifanov, I. ; Novikov, S.

Author_Institution

N.E. Ioukovskiy Air Force Eng. Acad., Moscow, Russia

fYear

1996

fDate

10-13 Sep 1996

Firstpage

339

Lastpage

342

Abstract

Our paper is concerned with solving the 3D outside boundary Neuman problem for the scalar Helmholtz equation. By means of the double layer potential, this problem reduces to the hypersingular integral equation of the 1-st kind. The numerical method for solving the hypersingular integral equation at bodies of arbitrary form is proposed. This method is a method of discrete vortex type. Comparison of the exact solution for a sphere with the numerical one is carried out. Results of the computation for a cube and for a plate are presented

Keywords

Helmholtz equations; boundary integral equations; boundary-value problems; electromagnetic wave diffraction; 3D Neuman problem; 3D outside boundary Neuman problem; EM wave diffraction; complex shapes; cube; discrete vortex type; double layer potential; hypersingular integral equation; numerical method; numerical solution; plate; scalar Helmholtz equation; Cost function; Density functional theory; Diffraction; Eigenvalues and eigenfunctions; H infinity control; Integral equations; Ribs; Rough surfaces; Shape; Surface roughness;

fLanguage

English

Publisher

ieee

Conference_Titel

Mathematical Methods in Electromagnetic Theory, 1996., 6th International Conference on

Conference_Location

Lviv

Print_ISBN

0-7803-3291-1

Type

conf

DOI

10.1109/MMET.1996.565728

Filename

565728