Volume 10, Issue 4
Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography

Zhuochao Tang, Zhuojia Fu, Dongjian Zheng & Jundong Huang

Adv. Appl. Math. Mech., 10 (2018), pp. 912-924.

Published online: 2018-07

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  • Abstract

This study presents an alternative meshless boundary collocation approach, the singular boundary method (SBM), in conjunction with the image concept for simulating SH wave scattering by the canyon topography. First the image concept is implemented to extend the original semi-infinite domain problems to infinite domain problems. Then the SBM has been used to solve the infinite domain problems. In the SBM it employs the singular fundamental solutions as basis functions and introduces the concept of source intensity factor to regularize the singularities of the related fundamental solutions, which avoids singular numerical integrals in the boundary element method. To demonstrate the effectiveness of the proposed approach for SH wave scattering by the canyon topography, several benchmark examples are considered. The present results are compared with the analytical solutions, the null-field boundary integral equation method.

  • Keywords

Singular boundary method, image concept, SH wave scattering, canyon topography.

  • AMS Subject Headings

65N80, 65N35, 65N38, 86-08

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-10-912, author = {}, title = {Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {10}, number = {4}, pages = {912--924}, abstract = {

This study presents an alternative meshless boundary collocation approach, the singular boundary method (SBM), in conjunction with the image concept for simulating SH wave scattering by the canyon topography. First the image concept is implemented to extend the original semi-infinite domain problems to infinite domain problems. Then the SBM has been used to solve the infinite domain problems. In the SBM it employs the singular fundamental solutions as basis functions and introduces the concept of source intensity factor to regularize the singularities of the related fundamental solutions, which avoids singular numerical integrals in the boundary element method. To demonstrate the effectiveness of the proposed approach for SH wave scattering by the canyon topography, several benchmark examples are considered. The present results are compared with the analytical solutions, the null-field boundary integral equation method.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2017-0301}, url = {http://global-sci.org/intro/article_detail/aamm/12502.html} }
TY - JOUR T1 - Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography JO - Advances in Applied Mathematics and Mechanics VL - 4 SP - 912 EP - 924 PY - 2018 DA - 2018/07 SN - 10 DO - http://dor.org/10.4208/aamm.OA-2017-0301 UR - https://global-sci.org/intro/aamm/12502.html KW - Singular boundary method, image concept, SH wave scattering, canyon topography. AB -

This study presents an alternative meshless boundary collocation approach, the singular boundary method (SBM), in conjunction with the image concept for simulating SH wave scattering by the canyon topography. First the image concept is implemented to extend the original semi-infinite domain problems to infinite domain problems. Then the SBM has been used to solve the infinite domain problems. In the SBM it employs the singular fundamental solutions as basis functions and introduces the concept of source intensity factor to regularize the singularities of the related fundamental solutions, which avoids singular numerical integrals in the boundary element method. To demonstrate the effectiveness of the proposed approach for SH wave scattering by the canyon topography, several benchmark examples are considered. The present results are compared with the analytical solutions, the null-field boundary integral equation method.

Zhuochao Tang, Zhuojia Fu, Dongjian Zheng & Jundong Huang. (2020). Singular Boundary Method to Simulate Scattering of SH Wave by the Canyon Topography. Advances in Applied Mathematics and Mechanics. 10 (4). 912-924. doi:10.4208/aamm.OA-2017-0301
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