Roy Nicolaides
Department of Mathematical Sciences
Carnegie
Mellon University
Pittsburgh
PA 15213, USA
Abstract: Numerous techniques have been developed to extend the basic FDTD method to domains whose boundaries do not lie on mesh surfaces. Usually these methods are not simple to apply and can involve mesh generation, nonstandard differencing and other difficulties. This paper describes an alternative approach which uses only uniform mesh differencing. The boundary conditions are imposed by an interpolation scheme. The method is described and applied to some two dimensional problems for which exact solutions are known. These calculations suggest that for smooth solutions the second order accuracy of the underlying difference approximation may be approximately preserved.
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