Duruflé, Marc (2006) Intégration numérique et éléments finis d'ordre élevé appliqués aux équations de Maxwell en régime harmonique Thesis, ENSTA.

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In this thesis, time-harmonic Maxwell's equations are our main interest, in order to compute accurately the radar cross section of electromagnetic targets. To have a good precision in largescale experiments, higher-order finite element methods are used. In the scalar case, hexahedral spectral finite element, with mass lumping, provide a fast matrix-vector product with a low storage. In the vectorial case, Nedelec's first family hexahedral element doesn't lead to mass lumping, but a fast matrix-vector can be found. Numerical results in 3-D show the efficiency of this algorithm. The case, where the geometry is invariant under rotation, is treated. This symmetry leads to solve a sequence of 2-D independent problems. A higher-order finite element method is proposed. This method is coupled with higher-order boundary element method.

Item Type:Thesis (Thesis)
Uncontrolled Keywords:Boundary element method
Subjects:Mathematics and Applications
ID Code:2393
Deposited By:Julien Karachehayas
Deposited On:24 avr. 2007 02:20
Dernière modification:05 juin 2013 09:13

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