Title :
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
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;
Conference_Titel :
Mathematical Methods in Electromagnetic Theory, 1996., 6th International Conference on
Conference_Location :
Lviv
Print_ISBN :
0-7803-3291-1
DOI :
10.1109/MMET.1996.565728
