Numerical Integration Scheme for the Near-Singular Green Function Gradient on General Triangles

被引：19

作者：

Botha, Matthys M. ^{[1
]}

机构：

[1] Univ Stellenbosch, Dept Elect & Elect Engn, ZA-7600 Stellenbosch, South Africa

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2015年 / 63卷 / 10期

关键词：

Boundary element method; computational electromagnetics; curved higher-order elements; electromagnetic surface integral equations; magnetic field integral equation (MFIE); nearly singular integral; nonlinear transformation; BOUNDARY-ELEMENT METHOD; SINH TRANSFORMATION; ALGORITHM;

D O I：

10.1109/TAP.2015.2456959

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 near-singularity cancellation transformation quadrature scheme for triangle domains is presented. It is tailored to the Green function gradient kernel (static and dynamic) multiplied with higher-order weighting functions on curvilinear triangles. The transformation is analytically invertible. Attention is paid to ensuring accuracy in both tangential and normal components. Such integrals must be routinely evaluated in modern method of moments (MoM) implementations. The scheme follows the standard three subtriangle splitting approach of which the benefits are single-parameter accuracy control, a geometry-independent total number of quadrature points and implementation simplicity. Extensive numerical results show superior efficiency and reliability to existing three-subdomain schemes. Consistent, dependable error convergence is demonstrated, with very low variation in accuracy for fixed quadrature order and singularity height. The scheme is suitable for practical use by MoM developers.

引用

页码：4435 / 4445

页数：11

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