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Applicable Analysis
An International Journal
Volume 91, 2012 - Issue 4: Special Issue on Inverse Problems and Applications
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Original Articles

Water wave problems using null-field boundary integral equations: ill-posedness and remedies

Jeng-Tzong Chen Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan; Department of Mechanical and Mechatronic Engineering, National Taiwan Ocean University, Keelung, TaiwanCorrespondence[email protected]
&
Jia-Wei Lee Department of Harbor and River Engineering, National Taiwan Ocean University, Keelung, Taiwan
Pages 675-702 | Received 21 Feb 2011, Accepted 31 May 2011, Published online: 11 Jul 2011

Citations (15)

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Alongkorn Amornwongpaibun, Hao Luo & Vincent W. Lee. (2016) Scattering of Anti-Plane (SH) Waves by a Shallow Semi-Elliptical Hill with a Concentric Elliptical Tunnel. Journal of Earthquake Engineering 20:3, pages 363-382.
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Articles from other publishers (14)

Yu Xiang & Ziyu Shi. (2023) Full wavenumber high precision combined coupled double boundary element method for solving external acoustic problems. Journal of Sound and Vibration 544, pages 117392.
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Yujie Wang, Enxi Zheng & Wenke Guo. (2023) The method of fundamental solutions for the scattering problem of an open cavity. Engineering Analysis with Boundary Elements 146, pages 436-447.
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Zhuo-Jia Fu, Zhuo-Yu Xie, Shun-Ying Ji, Chia-Cheng Tsai & Ai-Lun Li. (2020) Meshless generalized finite difference method for water wave interactions with multiple-bottom-seated-cylinder-array structures. Ocean Engineering 195, pages 106736.
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Jia-Wei Lee, Jeng-Tzong Chen & Chi-Feng Nien. (2019) Indirect boundary element method combining extra fundamental solutions for solving exterior acoustic problems with fictitious frequencies. The Journal of the Acoustical Society of America 145:5, pages 3116-3132.
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I.K. Chatjigeorgiou & V. Katsardi. (2018) Hydrodynamics and near trapping effects in arrays of multiple elliptical cylinders in waves. Ocean Engineering 157, pages 121-139.
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Yu-Lung Chang, Ying-Te Lee, Li-Jie Jiang & Jeng-Tzong Chen. (2016) Green’s Function Problem of Laplace Equation with Spherical and Prolate Spheroidal Boundaries by Using the Null-Field Boundary Integral Equation. International Journal of Computational Methods 13:05, pages 1650020.
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Zatianina Razafizana & Zhuo-Jia Fu. (2015) Singular boundary method for water wave problems. Ocean Engineering 96, pages 330-337.
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Jia-Wei Lee, Jeng-Tzong Chen, Shyue-Yuh Leu & Shing-Kai Kao. (2013) Null-field BIEM for solving a scattering problem from a point source to a two-layer prolate spheroid. Acta Mechanica 225:3, pages 873-891.
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Jeng-Tzong Chen & Jia-Wei Lee. (2013) A semi-analytical method for near-trapped mode and fictitious frequencies of multiple scattering by an array of elliptical cylinders in water waves. Physics of Fluids 25:9.
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Jeng-Tzong Chen, Jia-Wei Lee, Chine-Feng Wu & Ying-Te Lee. (2013) Study on harbor resonance and focusing by using the null-field BIEM. Engineering Analysis with Boundary Elements 37:7-8, pages 1107-1116.
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Ioannis K. Chatjigeorgiou. (2013) The hydrodynamics of arrays of truncated elliptical cylinders. European Journal of Mechanics - B/Fluids 37, pages 153-164.
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Jia-Wei Lee & Jeng-Tzong Chen. (2012) A Semianalytical Approach for a Nonconfocal Suspended Strip in an Elliptical Waveguide. IEEE Transactions on Microwave Theory and Techniques 60:12, pages 3642-3655.
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Jeng-Tzong Chen, Chine-Feng Wu, I-Lin Chen & Jia-Wei Lee. (2012) On near-trapped modes and fictitious frequencies for water wave problems containing an array of circular cylinders using a null-field boundary integral equation. European Journal of Mechanics - B/Fluids 32, pages 32-44.
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Jeng-Tzong Chen, Jia-Wei Lee & Wen-Shinn Shyu. (2012) SH-wave scattering by a semi-elliptical hill using a null-field boundary integral equation method and a hybrid method. Geophysical Journal International 188:1, pages 177-194.
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