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A new time-domain algorithm which combines the super-time-stepping (STS) method and the multidomain pseudospectral time-domain (PSTD) algorithm is presented. This algorithm not only maintains accuracy and flexibility of PSTD for an accurate treatment of arbitrarily curved objects but also relaxes the stability restriction for the explicit time integration scheme, establishing it for possible use in any implicit time integration scheme. Some numerical examples are given to illustrate the accuracy and efficiency of this proposed approach. [ABSTRACT FROM AUTHOR]

Closed-form results for the capacitance of an arbitrarily shaped conducting plate are presented. If the charge density suitable for fringe conditions and the appropriate charge barycentre are supposed, the asymptotic closed-form for the capacitance C can be achieved with high accuracy by simple curve integrals or the superposition of basic triangles. Some typical examples, such as an elliptical plate, a regular polygonal plate and a rectangular plate, are given. [ABSTRACT FROM AUTHOR]