Curl-Conforming Hierarchical Vector Bases for Triangles and Tetrahedra

被引：50

作者：

Graglia, Roberto D. ^{[1
,2
]}

Peterson, Andrew F. ^{[3
]}

Andriulli, Francesco P. ^{[4
]}

机构：

[1] Politecn Torino, Dipartimento Elettron, I-10129 Turin, Italy

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

[3] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA

[4] TELECOM Bretagne, Microwave Dept, Ecole Bretagne, Brest, France

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2011年 / 59卷 / 03期

关键词：

Basis functions; finite element methods; hierarchical basis functions; method of moments; FINITE-ELEMENTS; ELECTROMAGNETIC SCATTERING; NEDELEC ELEMENTS; MESHES; ORDER;

D O I：

10.1109/TAP.2010.2103012

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 family of hierarchical vector bases is proposed for triangles and tetrahedra. These functions span the curl-conforming reduced-gradient spaces of Nedelec. The bases are constructed from orthogonal scalar polynomials to enhance their linear independence, which is a simpler process than an orthogonalization applied to the final vector functions. Specific functions are tabulated to order 6.5. Preliminary results confirm that the new bases produce reasonably well-conditioned matrices.

引用

页码：950 / 959

页数：10

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