Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

Numerical Solution of Steady-State Free Boundary Problems Using the Singular Boundary Method

Year:    2021

Author:    Fen Chen, Bin Zheng, Ji Lin, Wen Chen

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2019-0188

Advances in Applied Mathematics and Mechanics, Vol. 13 (2021), Iss. 1 : pp. 163–175

Published online:    2021-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    13

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

Author Details

Fen Chen

Bin Zheng

Ji Lin

Wen Chen