Journal ArticleDOI
Nonconformal Domain Decomposition Methods for Solving Large Multiscale Electromagnetic Scattering Problems
Zhen Peng,Kheng-Hwee Lim,Jin-Fa Lee +2 more
- Vol. 101, Iss: 2, pp 298-319
TLDR
The application of the newly developed integral equation domain decomposition method (IE-DDM) to compute the plane-wave scattering from the jet aircraft, however with neither dielectrics nor lossy thin coatings.Abstract:
In this paper, we present our efforts in combating a challenging large multiscale electromagnetic scattering problem, viz. a plane-wave scattering from a mockup partially coated composite jet aircraft at X-band. We first summarize the application of the newly developed integral equation domain decomposition method (IE-DDM) to compute the plane-wave scattering from the jet aircraft, however with neither dielectrics nor lossy thin coatings. We proceed to compute the scattering from the aircraft with dielectrics and lossy thin coatings by employing two additional computational electromagnetics (CEM) techniques: a generalized combined field integral equation (G-CFIE) method to calculate electromagnetics (EM) scatterings from penetrable dielectric targets, and a hybrid finite elements and boundary elements method tailored specifically to address perfect electric conductor (PEC) targets partially coated with lossy thin materials.read more
Citations
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Journal ArticleDOI
Optimization of Nanoparticle-Based SERS Substrates through Large-Scale Realistic Simulations
Diego M. Solís,José M. Taboada,Fernando Obelleiro,Luis M. Liz-Marzán,F. Javier García de Abajo,F. Javier García de Abajo +5 more
TL;DR: This work uses state-of-the-art electromagnetic computation techniques to produce predictive simulations for a wide range of nanoparticle-based SERS substrates, including realistic configurations consisting of random arrangements of hundreds of nanoparticles with various morphologies, to derive rules of thumb for the influence of particle anisotropy and substrate coverage on the obtained SERS enhancement and optimum spectral ranges of operation.
Journal ArticleDOI
Domain Decomposition Preconditioning for Surface Integral Equations in Solving Challenging Electromagnetic Scattering Problems
TL;DR: The proposed work can be viewed as an effective preconditioning scheme that reduces the condition number of very large systems of equations in challenging EM scattering problems.
Journal ArticleDOI
A Nonconformal Domain Decomposition Scheme for the Analysis of Multiscale Structures
Mario A. Echeverri Bautista,Francesca Vipiana,Matteo Alessandro Francavilla,Jorge A. Tobon Vasquez,Giuseppe Vecchi +4 more
TL;DR: The DD results in an effective preconditioner for large and complex problems exploiting iterative solution and fast factorizations, and is highly parallelizable, as all the operations involving the subdomains can be performed in parallel.
References
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Journal ArticleDOI
Electromagnetic scattering by surfaces of arbitrary shape
TL;DR: In this paper, the electric field integral equation (EFIE) is used with the moment method to develop a simple and efficient numerical procedure for treating problems of scattering by arbitrarily shaped objects.
Book
Fast and Efficient Algorithms in Computational Electromagnetics
TL;DR: The book introduces you to new advances in the perfectly matched layer absorbing boundary conditions, and offers a thorough understanding of error analysis of numerical methods, fast-forward and inverse solvers for inverse problems, hybridization in computational electromagnetics, and asymptotic waveform evaluation.
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Variational Iterative Methods for Nonsymmetric Systems of Linear Equations
TL;DR: A class of iterative algorithms for solving systems of linear equations where the coefficient matrix is nonsymmetric with positive-definite symmetric part, modelled after the conjugate gradient method, are considered.