Title :
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
fDate :
5/1/1995 12:00:00 AM
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;
Journal_Title :
Magnetics, IEEE Transactions on
