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IEEE Transactions on Magnetics 44, 6 (2008) 782-785
An Amplitude Formulation to Reduce the Pollution Error in the Finite Element Solution of Time-Harmonic Scattering Problems
Christophe Geuzaine, Jacob Bedrossian, Xavier Antoine 1, 2
(2008)

We present a procedure to gain significant accuracy in the finite element solution of electromagnetic scattering problems at high wavenumbers. The technique relies on the determination, at a low computational cost, of an approximate solution around the scattering obstacle, which is then used to formulate an alternative variational formulation in terms of a slowly-oscillatory amplitude. The proposed method does not require any new finite element basis functions, and can thus be easily implemented in existing finite element codes.
1:  Institut Elie Cartan Nancy (IECN)
CNRS : UMR7502 – INRIA – Université Henri Poincaré - Nancy I – Université Nancy II – Institut National Polytechnique de Lorraine (INPL)
2:  CORIDA (INRIA Nancy - Grand Est / IECN / LMAM)
INRIA – CNRS : UMR7502 – Université de Lorraine
Mathematics/Numerical Analysis
Accuracy – electromagnetic scattering – finite element methods – pollution – short-wave problem