期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 269, 期 -, 页码 280-296出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2014.03.026
关键词
Galerkin method; High dielectric contrast; Magnetic resonance modeling; Preconditioning; Singular integrals; Volume integral equations
资金
- Swiss National Science Foundation [PA00P2-142060]
- Singapore-MIT program in Computational Engineering
- Singapore-MIT program in Computational and Systems Biology
- Skolkovo-MIT initiative in Computational Mathematics
- Swiss National Science Foundation (SNF) [PA00P2_142060] Funding Source: Swiss National Science Foundation (SNF)
A stable volume integral equation formulation based on equivalent volumetric currents is presented for modeling electromagnetic scattering of highly inhomogeneous dielectric objects. The proposed formulation is numerically solved by means of Galerkin method of moments on uniform grids, allowing for acceleration of the matrix-vector products associated with the iterative solver with the help of FFT. In addition, the pertinent volume-volume Galerkin inner products are reduced to purely surface-surface integrals with smoother kernels, allowing for highly accurate and fast computation by readily available sophisticated cubatures. Numerical results demonstrate the convergence properties of the algorithm for scatterers with high dielectric contrast. In addition, we describe a road-map for Magnetic Resonance-specific volume integral equations fast solvers based on the proposed algorithm. (C) 2014 Elsevier Inc. All rights reserved.
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