Global boundary conditions and fast Helmholtz solvers

Author

Engquist, Bjorn ; Greenbaum, Anne ; Murphy, William D.

Author_Institution

Dept. of Math., California Univ., Los Angeles, CA, USA

Volume

25

Issue

4

fYear

1989

fDate

7/1/1989 12:00:00 AM

Firstpage

2804

Lastpage

2806

Abstract

Electromagnetic scattering from a conducting two-dimensional cylinder is modeled by solving Helmholtz´s equation with the far-field radiation boundary condition replaced by a global boundary condition allowing. This allows the boundary condition to be applied very near the scatterer. The discrete problem is solved by a biconjugate gradient algorithm. Incomplete LU decomposition is used as a preconditioning strategy, resulting in very fast convergence. The numerical solution is compared with known solutions and found to converge fasters for ka⩽10, where k is the wave number and a is the radius of the cylinder

Keywords

boundary-value problems; electromagnetic wave scattering; EM wave scattering; biconjugate gradient algorithm; conducting two-dimensional cylinder; far-field radiation boundary condition; fast Helmholtz solvers; global boundary condition; numerical solution; preconditioning strategy; radius; very fast convergence; wave number; Argon; Boundary conditions; Computer science; Convergence; Electromagnetic modeling; Electromagnetic scattering; Equations; Mathematics; Sparse matrices; Vectors;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.34290

Filename

34290