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Articles

An analysis of Liao's absorbing boundary condition

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Pages 993-1009 | Published online: 03 Apr 2012

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Yingjie Gao, Hanjie Song, Jinhai Zhang & Zhenxing Yao. (2017) Comparison of artificial absorbing boundaries for acoustic wave equation modelling. Exploration Geophysics 48:1, pages 76-93.
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Haojie Xing, Xiaojun Li, Hongjing Li, Zhinan Xie, Shaolin Chen & Zhenghua Zhou. (2020) The Theory and New Unified Formulas of Displacement-Type Local Absorbing Boundary Conditions. Bulletin of the Seismological Society of America 111:2, pages 801-824.
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Haojie Xing, Xiaojun Li, Hongjing Li & Aiwen Liu. (2021) Spectral-element formulation of multi-transmitting formula and its accuracy and stability in 1D and 2D seismic wave modeling. Soil Dynamics and Earthquake Engineering 140, pages 106218.
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Zhiguo Su, Weitao Lyu, Lyuwen Chen, Yijun Zhang, Yang Zhang, Shaodong Chen, Xu Yan, Qi Qi & Shanshan Wu. (2018) Shielding Effect of Surrounding Buildings on the Lightning-Generated Vertical Electric Field at the Top of a Tall Building. IEEE Transactions on Electromagnetic Compatibility, pages 1-9.
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S. Petropavlovsky & S. Tsynkov. (2017) Non-deteriorating time domain numerical algorithms for Maxwell's electrodynamics. Journal of Computational Physics 336, pages 1-35.
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. 2017. Solutions for Biot's Poroelastic Theory in Key Engineering Fields. Solutions for Biot's Poroelastic Theory in Key Engineering Fields 169 171 .
Yuanqiang Cai & Honglei Sun. 2017. Solutions for Biot's Poroelastic Theory in Key Engineering Fields. Solutions for Biot's Poroelastic Theory in Key Engineering Fields 119 153 .
A. Fedoseyev, E. J. Kansa, S. Tsynkov, S. Petropavlovskiy, M. Osintcev, U. Shumlak & W. D. Henshaw. A universal framework for non-deteriorating time-domain numerical algorithms in Maxwell’s electrodynamics. A universal framework for non-deteriorating time-domain numerical algorithms in Maxwell’s electrodynamics.
Li Shi, Peng Wang, Yuanqiang Cai & Zhigang Cao. (2016) Multi-transmitting formula for finite element modeling of wave propagation in a saturated poroelastic medium. Soil Dynamics and Earthquake Engineering 80, pages 11-24.
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Lei Zhang & Tongbin Yu. (2012) A METHOD OF IMPROVING THE STABILITY OF LIAO'S HIGHER-ORDER ABSORBING BOUNDARY CONDITION. Progress In Electromagnetics Research M 27, pages 167-178.
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S.V. Petropavlovsky & S.V. Tsynkov. (2012) A non-deteriorating algorithm for computational electromagnetism based on quasi-lacunae of Maxwell’s equations. Journal of Computational Physics 231:2, pages 558-585.
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Tong-bin Yu, Bi-hua Zhou & Shang-he Liu. (2006) A Modified Liao¿s Absorbing Boundary Condition with stabilization. A Modified Liao¿s Absorbing Boundary Condition with stabilization.
Pierre Degauque, Emmanuel Van Lil, Vittorio Degli-Esposti, Pertti Vainikainen, Filipe Cardoso, Wim A. Th. Kotterman & Luís M. Correia. 2006. Mobile Broadband Multimedia Networks. Mobile Broadband Multimedia Networks 119 217 .
F. Costen. (2003) Analysis and improvement of Liao ABC for FDTD. Analysis and improvement of Liao ABC for FDTD.
O.M. Ramahi. (1999) Stability of absorbing boundary conditions. IEEE Transactions on Antennas and Propagation 47:4, pages 593-599.
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J.A. Svigelj & R. Mittra. (1999) The dispersive boundary condition applied to nonuniform orthogonal meshes. IEEE Transactions on Microwave Theory and Techniques 47:3, pages 257-264.
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