TY - JOUR
T1 - Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method
AU - Chen , Fen
AU - Zheng , Bin
AU - Lin , Ji
AU - Chen , Wen
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 - <p style="text-align: justify;">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.</p>