O(N) Nested Skeletonization Scheme for the Analysis of Multiscale Structures Using the Method of Moments

被引：20

作者：

Bautista, Mario Alberto Echeverri ^{[1
]}

Francavilla, Matteo Alessandro ^{[2
]}

Martinsson, Per-Gunnar ^{[3
]}

Vipiana, Francesca ^{[4
]}

机构：

[1] Ist Super Mario Boella, Dept Elect & Telecommun, I-10138 Turin, Italy

[2] Ist Super Mario Boella, I-10138 Turin, Italy

[3] Univ Colorado, Appl Math, Boulder, CO 80309 USA

[4] Politecn Torino, Dept Elect & Telecommun, I-10129 Turin, Italy

来源：

IEEE JOURNAL ON MULTISCALE AND MULTIPHYSICS COMPUTATIONAL TECHNIQUES | 2016年 / 1卷

关键词：

Fast solvers; integral equations (IEs); method of moments (MoM);

D O I：

10.1109/JMMCT.2016.2645838

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We present a scheme to compress the method of moments (MoM) matrix, which is linear in complexity for low to intermediate frequency problems in electromagnetics. The method is fully kernel independent and easy to implement using existing codes. The O(N) complexity for both memory and time (setup and matrix-vector product) is achieved thanks to the application of a recursive skeletonization to the H-2 matrix structure of the MoM matrix that uses the nested nature of the far interactions. The interpolative decomposition is applied in a novel manner in order to compress the "far-field signature" of the groups of basis functions. Moreover the scheme is fully characterized and it proves itself well suited for the analysis of multiscale structures.

引用

页码：139 / 150

页数：12

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