Maximally orthogonalized higher order bases over generalized wires, quadrilaterals, and hexahedra

MM Kostić, BM Kolundžija - IEEE Transactions on Antennas …, 2013 - ieeexplore.ieee.org
This paper presents a general theory of maximally orthogonalized div-and curl-conforming
higher order basis functions (HOBFs) over generalized wires, quadrilaterals, and …

Efficient surface integral equation using hierarchical vector bases for complex EM scattering problems

LP Zha, YQ Hu, T Su - IEEE transactions on antennas and …, 2011 - ieeexplore.ieee.org
A set of hierarchical divergence-conforming vector basis functions based on curved
triangular patches is presented for method of moment (MoM) solutions of surface integral …

Combining the higher order method of moments with geometric modeling by NURBS surfaces

H Yuan, N Wang, C Liang - IEEE transactions on antennas and …, 2009 - ieeexplore.ieee.org
This paper introduces the nonuniform rational B-spline (NURBS) surfaces to improve the
geometric modeling of the higher order method of moments (MoM). The electric field integral …

A wideband electromagnetic scattering analysis using MLFMA with higher order hierarchical vector basis functions

Z Nie, W Ma, Y Ren, Y Zhao, J Hu… - IEEE transactions on …, 2009 - ieeexplore.ieee.org
A method of the multilevel fast multipole algorithm (MLFMA) with the higher order
hierarchical vector basis functions is introduced to solve the wideband electromagnetic …

Sparsification of the impedance matrix in the solution of the integral equation by using the maximally orthogonalized basis functions

Y Ren, Z Nie, Y Zhao, W Ma - IEEE transactions on geoscience …, 2008 - ieeexplore.ieee.org
The higher order vector basis functions defined in large patches have been utilized in the
numerical solution of integral equations in this paper to sparsify the impedance matrix and …

Adaptive integral method for higher order method of moments

OS Kim, P Meincke - IEEE Transactions on Antennas and …, 2008 - ieeexplore.ieee.org
The adaptive integral method (AIM) is combined with the higher order method of moments
(MoM) to solve integral equations. The technique takes advantage of the low computational …

Full-wave analysis of electrically large structures on desktop PCs

B Kolundzija, M Tasic, D Olcan, D Zoric… - CEM'11 …, 2011 - ieeexplore.ieee.org
Method of moments applied to surface integral equations combined with higher-order basis
functions enables full-wave analysis in frequency domain of complex and relatively large …

Matrix equilibration in method of moment solutions of surface integral equations

BM Kolundzija, MM Kostic - Radio Science, 2014 - ieeexplore.ieee.org
Basic theory of matrix equilibration is presented, relating it to other techniques for
decreasing the condition number of matrix equations obtained by the method of moments …

Maximally orthogonal high-order basis functions have a well-conditioned Gram matrix

I Bogaert, FP Andriulli - IEEE transactions on antennas and …, 2014 - ieeexplore.ieee.org
Recently, a novel high-order finite-element space for wires, quadrilaterals, and hexahedrons
was presented [M. Kostic and B. Kolundzija,“Maximally Orthogonalized Higher Order Bases …

[PDF][PDF] 矩量法中阻抗矩阵的稀疏化研究

任仪, 聂在平, 赵延文, 马文敏 - 电子学报, 2007 - ejournal.org.cn
将高阶叠层矢量基函数及最大正交高阶矢量基函数应用于电磁场积分方程方法,
提出将阻抗矩阵按稀疏阵处理的方法. 通过文中的处理, 使得存储阻抗矩阵的内存需求量和求解 …