Scattered Field Computation with an Extended FETI-DPEM2 Method

Ivan Voznyuk 1 Hervé Tortel 1 Amelie Litman 1
1 HIPE - HIPE
FRESNEL - Institut FRESNEL
Abstract : Due to the increasing number of applications in engineering design and optimization, more and more atention has been paid to full-wave simulations based on computational electromagnetics. In particular, the finite-element method (FEM) is well suited for problems involving inhomogeneous and arbitrary shaped objects. Unfortunately, solving large-scale electromagnetic problems with FEM may be time consuming. A numerical scheme, called the dual-primal finite element tearing and interconnecting method (FETI-DPEM2), distinguishes itself through the partioning on the computation domain into non-overlapping subdomains where incomplete solutions of the electrical field are evaluated independently. Next, all the subdomains are ''glued'' together using a modified Robintype transmission condition along each common internal interface, apart from the corner points where a simple Neumann-type boundary condition is imposed. We propose an extension of the FETI-DPEM2 method where we impose a Robin type boundary conditions at each interface point, even at the corner points. We have implemented this Extended FETI-DPEM2 method in a bidimensional configuration while computing the field scattered by a set of heterogeneous, eventually anistropic, scatterers. The results presented here will assert the efficiency of the proposed method with respect to the classical FETI-DPEM2 method, whatever the mesh partition is arbitrary defined.
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Submitted on : Monday, November 5, 2018 - 10:51:31 AM
Last modification on : Monday, March 4, 2019 - 2:04:24 PM
Long-term archiving on : Wednesday, February 6, 2019 - 1:51:33 PM

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Ivan Voznyuk, Hervé Tortel, Amelie Litman. Scattered Field Computation with an Extended FETI-DPEM2 Method. Progress In Electromagnetics Research, 2013, 139, pp.247-263. ⟨10.2528/PIER13020113⟩. ⟨hal-00944613⟩

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