Loop-Star and Loop-Tree Decompositions: Analysis and Efficient Algorithms

被引：68

作者：

Andriulli, Francesco P. ^{[1
]}

机构：

[1] Ecole Natl Super Telecommun Bretagne TELECOM Bret, Microwave Dept, F-29200 Brest, France

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2012年 / 60卷 / 05期

关键词：

Electric field integral equation (EFIE); integral equations; loop-star; tree bases; magnetic field integral equation (MFIE); FIELD INTEGRAL-EQUATION; EFIE; PRECONDITIONER; FREQUENCY; SCATTERING; COMPLEX;

D O I：

10.1109/TAP.2012.2189723

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：

A new analysis of the spectral properties of Loop-Star and Loop-Tree decompositions is presented in this work. The analysis will shed light on the behavior of these decompositions when used with regular operators such as the magnetic field and the Calderon preconditioned electric field integral operators. This work will explain the ill-conditioning problems reported in literature and will provide a family of efficient algorithms to solve the ill-conditioning and regularizing several Loop-Star/Tree decomposed equations of interest for applications. The theory will be corroborated by numerical results that will show the practical impact of the theoretical developments.

引用

页码：2347 / 2356

页数：10

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