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

共 50 条

[1] Higher order large-domain hierarchical FEM technique for electromagnetic modeling using legendre basis functions on generalized hexahedra
Ilic, Milan M.
Notaros, Branislav M.
[J]. ELECTROMAGNETICS, 2006, 26 (07) : 517 - 529
[2] Curved Continuously Inhomogeneous and Anisotropic Higher Order Finite Elements for Accurate Large-Domain Electromagnetic Modeling
Savic, Slobodan V.
Ilic, Milan M.
[J]. 2016 24TH TELECOMMUNICATIONS FORUM (TELFOR), 2016, : 535 - 542
[3] NONRIGOROUS SYMMETRIC SECOND-ORDER ABC APPLIED TO LARGE-DOMAIN FINITE ELEMENT MODELING OF ELECTROMAGNETIC SCATTERERS
Savic, Slobodan V.
Ilic, Milan M.
[J]. FACTA UNIVERSITATIS-SERIES ELECTRONICS AND ENERGETICS, 2016, 29 (04) : 675 - 688
[4] Higher-Order Finite Element Electromagnetics Code for HPC environments
Garcia-Donoro, Daniel
Amor-Martin, Adrian
Garcia-Castillo, Luis E.
[J]. INTERNATIONAL CONFERENCE ON COMPUTATIONAL SCIENCE (ICCS 2017), 2017, 108 : 818 - 827
[5] Higher order large-domain FEM modeling of 3-D multiport waveguide structures with arbitrary discontinuities
Ilic, MM
Ilic, AZ
Notaros, BM
[J]. IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES, 2004, 52 (06) : 1608 - 1614
[6] INTERACTIVE AND LARGE-DOMAIN SOLUTIONS OF HIGHER-ORDER VISCOUS-FLOW EQUATIONS
STERN, F
YOO, SY
PATEL, VC
[J]. AIAA JOURNAL, 1988, 26 (09) : 1052 - 1060
[7] Error analysis of higher order wavelet-like basis functions in the finite element method
Hutchcraft, WE
Gordon, RK
[J]. PROCEEDINGS OF THE THIRTY-FOURTH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 2002, : 138 - 141
[8] NURBS Modeling for Higher-Order Basis Functions
Liu, Zi-liang
Yang, Juan
[J]. APMC: 2009 ASIA PACIFIC MICROWAVE CONFERENCE, VOLS 1-5, 2009, : 76 - +
[9] Numerical Evaluation of High-Order Finite Element Time Domain Formulations in Electromagnetics
Marais, Neilen
Davidson, David Bruce
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2008, 56 (12) : 3743 - 3751
[10] Higher order hierarchical Legendre basis functions for electromagnetic modeling
Jorgensen, E
Volakis, JL
Meincke, P
Breinbjerg, O
[J]. IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 2004, 52 (11) : 2985 - 2995

← 1 2 3 4 5 →