Maximally Orthogonalized Higher Order Basis Functions in Large-Domain Finite Element Modeling in Electromagnetics

被引：2

作者：

Savic, Slobodan V. ^{[1
]}

Ilic, Milan M. ^{[1
]}

Kolundzija, Branko M. ^{[1
]}

机构：

[1] Univ Belgrade, Sch Elect Engn, Belgrade 11120, Serbia

来源：

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION | 2020年 / 68卷 / 08期

关键词：

Finite element analysis; Mathematical model; Antennas; Method of moments; Silicon; Integral equations; Electric fields; Condition number; differential equations; finite element method (FEM); higher order basis functions; higher order modeling; numerical analysis; orthogonal functions; polynomials; LEGENDRE BASIS FUNCTIONS;

D O I：

10.1109/TAP.2020.2970038

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：

Curl-conforming max-ortho basis functions (MOBFs) are coupled with higher order large-domain curved finite elements (FEs). The performance of the functions is compared with that of the classical and near-ortho basis functions. Through numerical experiments, it is shown that max-ortho FEs yield highly orthogonal mass matrices, for practically arbitrarily high orders of polynomial field approximations. This facilitates the usage of iterative solvers and it significantly increases their efficiency. Accurate and fast computation of MOBFs, of arbitrarily high orders, is enabled by the proposed two-term recurrent formula.

引用

页码：6455 / 6460

页数：6

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