On solution of conformal mapping for a lower half plane containing a symmetrical noncircular cavity Article Swipe
Related Concepts
Conformal map
Plane (geometry)
Regular polygon
Function (biology)
Particle swarm optimization
Penalty method
Mathematics
Mathematical analysis
Mathematical optimization
Physics
Applied mathematics
Geometry
Biology
Evolutionary biology
Luo‐bin Lin
,
Fuquan Chen
,
Xianhai Huang
·
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.05752
· OA: W4297821738
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2209.05752
· OA: W4297821738
In this paper, we provide a candidate solution to obtain the coefficients of the conformal mapping for a lower half plane containing a symmetrical noncircular cavity using penalty function method and modified Particle Swarm Method. The nonconvexity of the penalty function is proven via the concept of convex function and proof of contradiction. The solution procedure is presented very detailedly in pseudocodes to ensure that the solution can be fully repeated and further improved. The solution accuracy and efficiency are also discussed.
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