Wave scattering at high wave numbers using exact controllability and finite element methods

Author

Bristeau, Marie-Odile ; Glowinski, Roland ; Periaux, J.

Author_Institution

Inst. Nat. de Recherche en Inf. et Autom., Le Chesnay, France

Volume

31

Issue

3

fYear

1995

fDate

5/1/1995 12:00:00 AM

Firstpage

1530

Lastpage

1533

Abstract

A novel method for solving the Helmholtz equation is proposed and it is applied to two dimensional electromagnetic scattering problems at high wave numbers. The idea of the method is to look for the periodic solutions of the wave equation using an exact controllability methodology. The least squares formulation of the problem is solved by a preconditioned conjugate gradient. Applications to harmonic wave scattering by complex obstacles are considered

Keywords

Helmholtz equations; conjugate gradient methods; controllability; electromagnetic wave scattering; finite element analysis; least squares approximations; 2D electromagnetic scattering problems; EM wave scattering; FEM; Helmholtz equation; complex obstacles; exact controllability methodology; finite element methods; harmonic wave scattering; high wave numbers; least squares formulation; periodic solutions; preconditioned conjugate gradient; wave equation; Boundary conditions; Controllability; Electromagnetic scattering; Finite element methods; Least squares methods; Maxwell equations; Partial differential equations; Shape; Switches; Tellurium;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.376321

Filename

376321