Volume 13, Issue 1
Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

Fen Chen, Bin Zheng, Ji Lin & Wen Chen

Adv. Appl. Math. Mech., 13 (2021), pp. 163-175.

Published online: 2020-10

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  • Abstract

In this paper, the recently-developed singular boundary method is applied to address free boundary problems. This mesh-less numerical method is based on the use of the origin intensity factors with fundamental solutions. Three numerical examples and their results are compared with the results obtained using traditional methods. The comparisons indicate that the proposed scheme yields good results in determining the position of the free boundary.

  • Keywords

Seepage flow, singular boundary method, mesh-less, origin intensity factors.

  • AMS Subject Headings

00A69

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{AAMM-13-163, author = {Fen Chen , and Bin Zheng , and Ji Lin , and Wen Chen , }, title = {Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {13}, number = {1}, pages = {163--175}, abstract = {

In this paper, the recently-developed singular boundary method is applied to address free boundary problems. This mesh-less numerical method is based on the use of the origin intensity factors with fundamental solutions. Three numerical examples and their results are compared with the results obtained using traditional methods. The comparisons indicate that the proposed scheme yields good results in determining the position of the free boundary.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2019-0188}, url = {http://global-sci.org/intro/article_detail/aamm/18345.html} }
TY - JOUR T1 - Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method AU - Fen Chen , AU - Bin Zheng , AU - Ji Lin , AU - Wen Chen , JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 163 EP - 175 PY - 2020 DA - 2020/10 SN - 13 DO - http://doi.org/10.4208/aamm.OA-2019-0188 UR - https://global-sci.org/intro/article_detail/aamm/18345.html KW - Seepage flow, singular boundary method, mesh-less, origin intensity factors. AB -

In this paper, the recently-developed singular boundary method is applied to address free boundary problems. This mesh-less numerical method is based on the use of the origin intensity factors with fundamental solutions. Three numerical examples and their results are compared with the results obtained using traditional methods. The comparisons indicate that the proposed scheme yields good results in determining the position of the free boundary.

Fen Chen, Bin Zheng, Ji Lin & Wen Chen. (2020). Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method. Advances in Applied Mathematics and Mechanics. 13 (1). 163-175. doi:10.4208/aamm.OA-2019-0188
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