含对称非圆腔体的下半平面的共形映射的求解
On solution of conformal mapping for a lower half plane containing a symmetrical noncircular cavity
摘要：
本文利用罚函数法和改进的粒子群算法，给出了一种求解含有对称非圆腔体的下半半平面的共形映射系数的候选解。利用凸函数的概念和矛盾证明方法证明了罚函数的非凸性。求解过程以伪代码的形式给出，保证了求解过程的可重复性和进一步的改进。并对求解精度和效率进行了讨论。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
