J. M. Taboada, M. G. Araújo, J. Rivero, L. Landesa, and F. Obelleiro. Surface Integral Equation Solvers for Large-Scale Conductors, Metamaterials and Plasmonic Nanostructures. Appl. Comput. Electrom. (ACES) Journal, vol. 27, no. 2, pp. 189-197, 2012. Paper invitado.
Abstract
Surface integral equation (SIE) approaches for the accurate solution of different problems in computational electromagnetics are addressed. First, an efficient message passing interface (MPI)/OpenMP parallel implementation of the multilevel fast multipole algorithm-fast Fourier transform (MLFMA-FFT) is presented for the solution of large-scale conducting bodies. By combining the high scalability of the fast multipole method-FFT (FMM-FFT) with the high efficiency of MLFMA, challenging problems up to one billion unknowns are solved using a parallel supercomputer. Second, looking for the extension of these rigorous approaches to new demanded areas, the SIE method is successfully applied to the solution of left-handed metamaterials and plasmonic nanostructures. Numerical examples are presented to confirm the validity and versatility of this approach for the accurate resolution of problems in the context of leading-edge nanoscience and nanotechnology applications.
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