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We present a general framework based on the Generalized Method of Moments that enables inclusion of multiple local geometry descriptions and orders and multiple basis function types and orders in the solution of Moment Method systems. The resulting method allows arbitrary mixing of these parameters in different regions of the scatterer so that both geometric and surface current approximations may...
We present a highly flexible framework that permits easy hybridization of multiple basis function spaces, within the same simulation domain, for use in solution of integral equations. The method is constructed using the Generalized Method of Moments (GMM), that uses overlapping domains and a partition of unity functions defined on these domains to ensure continuity of currents. We leverage this feature...
This work develops a framework for the numerical solution of scattering from PEC objects using integral equations. This scheme called the generalized method of moments (GMM) provides a high degree of flexibility in the choice of spatial and functional discretization. The method allows for the arbitrary variation of patch size, basis function type and order to describe both the surface of the scatterer...
The development of appropriate basis functions and their application to the solution of integral and differential equation has been a topic of continuous research for the past two decades. Hierarchial basis functions that provide h-, p-, and hp- convergence is now the state of the art. However, all these basis function spaces have been designed such that they closely rely on the definitions of the...
In practical engineering applications, electromagnetic analysis of stratified dielectric objects, such as radomes, heat insulated material, etc is highly desirable. In this paper, as improvement of the full current TDS approximation, a multilayer TDS approximation method is proposed. This approximation leads to surface integral instead of the volume integral, and consequently reduce unknowns by only...
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