B-spline based high-order finite difference time-domain schemes for the Maxwell equations

摘要

In this paper, the B-spline based high-order finite different time domain (FDTD) scheme is developed to solve the Maxwell's equations with a bounded domain. The scheme is based on a B-spline basis function. This scheme uses the mesh stencil as used in the standard Yee cells and it is relatively easy to modify an existing code based on the Yee algorithm. This scheme can be adapted for an unbounded apace problem using a transparent absorbing boundary.