Fast direct solution of volume integral equations based on skeletonization by method of moments

2016 IEEE International Conference on Computational Electromagnetics (ICCEM) ◽

10.1109/compem.2016.7588648 ◽

2016 ◽

Author(s):

Ming-Ming Xu ◽

Yan-Nan Liu ◽

Xiao-Min Pan ◽

Xin-Qing Sheng

Keyword(s):

Integral Equations ◽

Method Of Moments ◽

Direct Solution ◽

Volume Integral

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Method of moments solution of volume integral equations using parametric geometry modeling

Radio Science ◽

10.1029/2000rs002597 ◽

2002 ◽

Vol 37 (1) ◽

pp. 10-1-10-7 ◽

Cited By ~ 22

Author(s):

Kubilay Sertel ◽

John L. Volakis

Keyword(s):

Integral Equations ◽

Method Of Moments ◽

Volume Integral ◽

Geometry Modeling

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New HSS-factorization and inversion algorithms with exact arithmetic for efficient direct solution of large-scale volume integral equations

2016 IEEE International Symposium on Antennas and Propagation (APSURSI) ◽

10.1109/aps.2016.7696490 ◽

2016 ◽

Cited By ~ 3

Author(s):

Miaomiao Ma ◽

Dan Jiao

Keyword(s):

Integral Equations ◽

Large Scale ◽

Direct Solution ◽

Volume Integral ◽

Exact Arithmetic ◽

And Inversion

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Exact-arithmetic HSS-inversion algorithm for fast direct solution of electrically large volume integral equations

2016 International Conference on Electromagnetics in Advanced Applications (ICEAA) ◽

10.1109/iceaa.2016.7731464 ◽

2016 ◽

Author(s):

Miaomiao Ma ◽

Dan Jiao

Keyword(s):

Integral Equations ◽

Large Volume ◽

Direct Solution ◽

Volume Integral ◽

Inversion Algorithm ◽

Exact Arithmetic

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On the implementation of the method of moments for solving volume integral equations with inhomogeneous dielectric media

Proceedings of the 2012 IEEE International Symposium on Antennas and Propagation ◽

10.1109/aps.2012.6348889 ◽

2012 ◽

Author(s):

Z. Y. Zhu ◽

W. T. Sheng ◽

M. S. Tong

Keyword(s):

Integral Equations ◽

Method Of Moments ◽

Volume Integral ◽

Dielectric Media ◽

Inhomogeneous Dielectric

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Accuracy Directly Controlled Fast Direct Solution of General ${\mathcal{ H}}^{2}$ -Matrices and Its Application to Solving Electrodynamic Volume Integral Equations

IEEE Transactions on Microwave Theory and Techniques ◽

10.1109/tmtt.2017.2734090 ◽

2018 ◽

Vol 66 (1) ◽

pp. 35-48 ◽

Cited By ~ 5

Author(s):

Miaomiao Ma ◽

Dan Jiao

Keyword(s):

Integral Equations ◽

Direct Solution ◽

Volume Integral

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Method of moments solution of volume integral equations using higher-order hierarchical Legendre basis functions

Radio Science ◽

10.1029/2004rs003041 ◽

2004 ◽

Vol 39 (5) ◽

pp. n/a-n/a ◽

Cited By ~ 17

Author(s):

O. S. Kim ◽

P. Meincke ◽

O. Breinbjerg ◽

E. Jørgensen

Keyword(s):

Integral Equations ◽

Method Of Moments ◽

Higher Order ◽

Basis Functions ◽

Volume Integral

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Fast direct solution of large-scale volume integral equations with exact arithmetic

2016 Progress in Electromagnetic Research Symposium (PIERS) ◽

10.1109/piers.2016.7735075 ◽

2016 ◽

Author(s):

Miaomiao Ma ◽

Dan Jiao

Keyword(s):

Integral Equations ◽

Large Scale ◽

Direct Solution ◽

Volume Integral ◽

Exact Arithmetic

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On the Method of Moments Solutions for Volume Integral Equations With Inhomogeneous Dielectric Media

IEEE Antennas and Wireless Propagation Letters ◽

10.1109/lawp.2012.2219573 ◽

2012 ◽

Vol 11 ◽

pp. 1154-1157 ◽

Cited By ~ 2

Author(s):

Wei Tian Sheng ◽

Zhen Ying Zhu ◽

Mei Song Tong

Keyword(s):

Integral Equations ◽

Method Of Moments ◽

Volume Integral ◽

Dielectric Media ◽

Inhomogeneous Dielectric

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Fast direct solution of 3‐D volume integral equations by skeletonization for dynamic electromagnetic wave problems

International Journal of Numerical Modelling Electronic Networks Devices and Fields ◽

10.1002/jnm.2667 ◽

2019 ◽

Vol 33 (2) ◽

Author(s):

Yan‐Nan Liu ◽

Xiao‐Min Pan ◽

Xin‐Qing Sheng

Keyword(s):

Electromagnetic Wave ◽

Integral Equations ◽

Direct Solution ◽

Volume Integral ◽

Wave Problems

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Fast Solution of Volume Integral Equations Based on Meshless Discretization

2018 Progress in Electromagnetics Research Symposium (PIERS-Toyama) ◽

10.23919/piers.2018.8598051 ◽

2018 ◽

Author(s):

Qing Xu ◽

Mei Song Tong

Keyword(s):

Integral Equations ◽

Volume Integral ◽

Fast Solution

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