论文标题
在包含对称非圆形腔的下半部平面的共形映射溶液上
On solution of conformal mapping for a lower half plane containing a symmetrical noncircular cavity
论文作者
论文摘要
在本文中,我们提供了一种候选解决方案,以获取使用惩罚函数方法和修改的粒子群方法的下半部平面的共形映射系数。惩罚函数的非概念是通过凸功能的概念和矛盾证明证明的。在伪座上非常细节地介绍了溶液程序,以确保可以完全重复该溶液并进一步改进溶液。还讨论了解决方案的准确性和效率。
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.