We present a domain decomposition (DD) framework for the analysis of impenetrable structures; it allows for the electric field integral equation (EFIE) and combined field integral equation (CFIE), and for open, closed, and open–closed struc- tures. The DD results in an effective preconditioner for large and complex problems exploiting iterative solution and fast factorizations. The DD employs specialized transmission conditions among the domains, and the use of discontinuous Galerkin (DG) allows conformal as well as nonconformal discretizations of domain boundaries; the nonconformal nature of the decomposition gives considerable flexibility in the meshing. The strategy is highly parallelizable, as all the operations involving the subdomains can be performed in parallel. The proposed scheme is implementation independent and can be easily merged with existing electromagnetic codes.

A nonconformal domain decomposition scheme for the analysis of multiscale structures / ECHEVERRI BAUTISTA, MARIO ALBERTO; Vipiana, Francesca; Francavilla, MATTEO ALESSANDRO; TOBON VASQUEZ, JORGE ALBERTO; Vecchi, Giuseppe. - In: IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION. - ISSN 0018-926X. - STAMPA. - 63:8(2015), pp. 3548-3560. [10.1109/TAP.2015.2430873]

A nonconformal domain decomposition scheme for the analysis of multiscale structures

ECHEVERRI BAUTISTA, MARIO ALBERTO;VIPIANA, Francesca;TOBON VASQUEZ, JORGE ALBERTO;VECCHI, Giuseppe
2015

Abstract

We present a domain decomposition (DD) framework for the analysis of impenetrable structures; it allows for the electric field integral equation (EFIE) and combined field integral equation (CFIE), and for open, closed, and open–closed struc- tures. The DD results in an effective preconditioner for large and complex problems exploiting iterative solution and fast factorizations. The DD employs specialized transmission conditions among the domains, and the use of discontinuous Galerkin (DG) allows conformal as well as nonconformal discretizations of domain boundaries; the nonconformal nature of the decomposition gives considerable flexibility in the meshing. The strategy is highly parallelizable, as all the operations involving the subdomains can be performed in parallel. The proposed scheme is implementation independent and can be easily merged with existing electromagnetic codes.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2626386