论文标题
无限条纹的前图域的数值计算
Numerical computation of a preimage domain for an infinite strip with rectilinear slits
论文作者
论文摘要
让$ω$为扩展复杂平面$ \叠加{\ c} $中的多重连接域，通过从无限条带$ s = \ s = \ {z \，：\，\，\，\，\，\ weft | im z \ im z \ right | right |<π/2 $ \ from s = \ {z \，：s = \ {z \，：在本文中，我们提出了一种迭代方法，用于计算单位磁盘$ \ d $的内部和$ M $非重叠的平滑Jordan Curves的内部内部中的形式等效的乘数乘数$ g $的数值计算。我们通过两种应用证明了该方法的实用性。首先，我们估计$（s，e）$的冷凝器的能力，其中$ e \ subset s $是不连接部分的结合。其次，我们确定与不可压缩的，无关紧要的和无关的流相关的流线，超过了$ s $中的不连接段。
Let $Ω$ be the multiply connected domain in the extended complex plane $\overline{\C}$ obtained by removing $m$ non-overlapping rectilinear segments from the infinite strip $S=\{z\,:\, \left|\Im z\right|<π/2\}$. In this paper, we present an iterative method for numerical computation of a conformally equivalent bounded multiply connected domain $G$ in the interior of the unit disk $\D$ and the exterior of $m$ non-overlapping smooth Jordan curves. We demonstrate the utility of the proposed method through two applications. First, we estimate the capacity of condensers of the form $(S,E)$ where $E\subset S$ be a union of disjoint segments. Second, we determine the streamlines associated with uniform incompressible, inviscid and irrotational flow past disjoint segments in the strip $S$.
