In this paper, a numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the interior of the polygon is discussed. The unknown parameters in the Schwartz-Christoffel integra...In this paper, a numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the interior of the polygon is discussed. The unknown parameters in the Schwartz-Christoffel integral are calculated by using the method in reference [1]. And this method is applied to conformally map the upper half plane onto the interior of the polygon with cracks. And then a practical example is shown.展开更多
This paper is continuance of the paper[1]. A numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the exterior of the polygon is discussed. The transformation formulas to...This paper is continuance of the paper[1]. A numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the exterior of the polygon is discussed. The transformation formulas to deal with singular integral and the iteration equations to deal with the unknown parameters in the Schwartz-Christoffel integral are given. And this method is applied conformally to map the upper half plane onto the exterior of the polygon with the close cracks.展开更多
文摘In this paper, a numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the interior of the polygon is discussed. The unknown parameters in the Schwartz-Christoffel integral are calculated by using the method in reference [1]. And this method is applied to conformally map the upper half plane onto the interior of the polygon with cracks. And then a practical example is shown.
文摘This paper is continuance of the paper[1]. A numerical calculation method of the Schwartz-Christoffel integral mapping the upper half plane onto the exterior of the polygon is discussed. The transformation formulas to deal with singular integral and the iteration equations to deal with the unknown parameters in the Schwartz-Christoffel integral are given. And this method is applied conformally to map the upper half plane onto the exterior of the polygon with the close cracks.
