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Recently we have proposed a finite element based eigenanalysis for lossy and unbounded structures. Our present effort aims at the validation of this technique for the study of complex radiating structures like the cavity backed type. The typical Absorbing Boundary Condition (ABC) of 1st kind is employed, while finite conductivity is introduced at the metallic parts of the studied structure. The spurious...
Conventional edge elements in solving vector Maxwell's equations by the finite element method will lead to the presence of spurious zero eigenvalues. Here we describes a higher order mixed spectral element method (mixed SEM) for the computation of two-dimensional TEz eigenvalue problem of Maxwell's equations. It utilizes Gauss-Lobatto-Legendre (GLL) polynomials as the basis functions in the finite-element...
New hierarchical vector basis functions for quadrilateral cells are introduced, and the matrix condition numbers associated with their use are compared to those of existing vector basis families to assess the relative linear independence of the functions. Scale factors are employed to improve the condition numbers. In addition, the proper use of subsets of these families to transition from one order...
We present a GPU-accelerated implementation of the k-step Arnoldi factorisation that forms the basis of a number of iterative eigenvalue system solvers. These solvers are important for the finite element analysis of the cutoff and dispersion characteristics of waveguide structures as well as cavity resonances and since they contribute significantly to the runtime in computing a solution, their acceleration...
A study of reverberation chambers based on a three dimensional finite element eigenanalysis is elaborated. For this purpose the electric field vector wave equation is transformed into its weak form using the Galerkin procedure and discretized with the aid of tetrahedral edge elements. The resulting system of equations is then formulated into a generalized eigenproblem for a complex frequency (omega)...
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