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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING Int. J. Numer. Meth. Engng 2004; 61:13101331 (DOI: 10.1002/nme.1106)
 

Summary: INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
Int. J. Numer. Meth. Engng 2004; 61:1310­1331 (DOI: 10.1002/nme.1106)
Analytic preconditioners for the electric field integral equation
X. Antoine1,,, A. Bendali2 and M. Darbas2
1MIP (UMR 5640), UFR MIG, Université Paul Sabatier, 118, route de Narbonne,
31062 Toulouse Cedex, France
2Département de Génie Mathématique, INSA, MIP UMR-5640, Complexe Scientifique de Rangueil,
31077, Toulouse Cedex 4, France
SUMMARY
Since the advent of the fast multipole method, large-scale electromagnetic scattering problems based
on the electric field integral equation (EFIE) formulation are generally solved by a Krylov iterative
solver. A well-known fact is that the dense complex non-hermitian linear system associated to the EFIE
becomes ill-conditioned especially in the high-frequency regime. As a consequence, this slows down
the convergence rate of Krylov subspace iterative solvers. In this work, a new analytic preconditioner
based on the combination of a finite element method with a local absorbing boundary condition is
proposed to improve the convergence of the iterative solver for an open boundary. Some numerical
tests precise the behaviour of the new preconditioner. Moreover, comparisons are performed with the
analytic preconditioner based on the Calderòn's relations for integral equations for several kinds of
scatterers. Copyright 2004 John Wiley & Sons, Ltd.
KEY WORDS: electromagnetism; integral equation; analytic preconditioners; Krylov subspace itera-

  

Source: Antoine, Xavier - Institut de Mathématiques Élie Cartan, Université Henri Poincaré - Nancy 1

 

Collections: Mathematics