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

Yan‐Nan Liu; Xiao‐Min Pan; Xin‐Qing Sheng

doi:10.1002/jnm.2667

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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Electromagnetic wave simulation of honeycomb sandwich structures by 3D volume integral equations

Electronics and Communications in Japan (Part II Electronics) ◽

10.1002/ecjb.1062 ◽

2001 ◽

Vol 84 (10) ◽

pp. 24-33

Author(s):

Yasuo Takahashi ◽

Shinobu Suzuki ◽

Syuji Matsuda ◽

Kazuo Tanaka ◽

Masahiro Tanaka

Keyword(s):

Electromagnetic Wave ◽

Integral Equations ◽

Sandwich Structures ◽

Volume Integral ◽

Wave Simulation ◽

Honeycomb Sandwich ◽

3D Volume

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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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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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Transient analysis of electromagnetic wave interactions on ferrite structures using Landau-Lifshitz-Gilbert and volume integral equations

2015 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2015.7303399 ◽

2015 ◽

Author(s):

Sadeed Bin Sayed ◽

H. Arda Ulku ◽

Hakan Bagci

Keyword(s):

Electromagnetic Wave ◽

Integral Equations ◽

Transient Analysis ◽

Volume Integral ◽

Wave Interactions ◽

Electromagnetic Wave Interactions

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Analysis of electromagnetic wave interactions on nonlinear scatterers using time domain volume integral equations

2014 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium) ◽

10.1109/usnc-ursi.2014.6955421 ◽

2014 ◽

Author(s):

Huseyin Arda Ulku ◽

Sadeed Bin Sayed ◽

Hakan Bagci

Keyword(s):

Electromagnetic Wave ◽

Integral Equations ◽

Time Domain ◽

Volume Integral ◽

Wave Interactions ◽

Electromagnetic Wave Interactions

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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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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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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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A Generalized Overrelaxation Method for Solving Singular Volume Integral Equations in Low-Frequency Scattering Problems

Differential Equations ◽

10.1007/s10625-005-0275-2 ◽

2005 ◽

Vol 41 (9) ◽

pp. 1262-1266 ◽

Cited By ~ 11

Author(s):

N. V. Budko ◽

A. B. Samokhin ◽

A. A. Samokhin

Keyword(s):

Integral Equations ◽

Low Frequency ◽

Volume Integral ◽

Scattering Problems

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