Abstract
The higher-order hierarchical vector basis functions can be used to reduce the number of unknowns significantly. They can be easily applied in electromagnetic and geometrical modeling due to the fact that they are defined on the quadrilateral patches and do not need the conform patches. In this article, the higher-order hierarchical vector basis functions were used to compute the time-domain scattering of perfect electric conductor objects. Specifically, the basis functions are implemented to solve the time-domain integral equation with the Galerkin method and the point matching for spatial and time-domain discretization, respectively. Moreover, the implicit matching on–in time method is used in this article. Simulation results are presented to demonstrate the high accuracy, efficiency, and stability of the proposed method.
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