Giuseppe Vecchi

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This paper deals with a multiresolution approach to the finite-element solution of the Electric Field Integral Equation (EF IE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, each of them is first separated into solenoidal and non-solenoidal complementary spaces. The possibility(More)
Expressions for the spectral domain electric mixed potential (MP) Green's function for a cylindrical substrate are derived in terms of the spectral dyadic Green's function for the electric field. The spectral properties of the derived function are exploited in the transformation to the space domain extracting its spectral asymptotic behavior. The extracted(More)
To keep explicit information about the multi-scale nature of the solution directly into the representation of the unknown fields/currents, two techniques are discussed in this paper: the synthetic basis function expansion (SFX); and the vector multi-resolution (MR) expansion. Both the SFX and MR approaches are applicable to general array geometries, e.g.(More)
Electromagnetic computations, where the wavelength is small in relation to the geometry of interest, become computationally demanding. In order to manage computations for realistic problems like electromagnetic scattering from aircraft, the use of parallel computing is essential. In this paper, we describe how a solver based on a hierarchical nested(More)
A general framework for the analysis of perfect electric conductor structures is presented; the proposed strategy is based in the decomposition of single structure into non-connected domains, whose individual analysis are used as preconditioner, obtaining good convergence properties for the iterative solution of the entire structure. Transmission conditions(More)
This work presents a fast analysis of electromagnetic scattering from arrays of metallic nano-particles with aperiodic spiral order. The reported method extends the integral equation fast Fourier transform (IE-FFT) algorithm to the method of moments solution of PMCHWT integral equation for aperiodic homogenous dielectric arrays. The algorithm relies on the(More)
We introduce a kernel-independent wideband nested equivalent source approximation method. The nested equivalent source approximation (NESA), proposed by these authors to solve low frequency problems with linear complexity, is extended here to electrically large multiscale structures. The low frequency algorithm is directly employed at the bottom levels of(More)
This paper presents a new domain decomposition scheme for the analysis of structures in the Method of Moments context. The method is flexible in the sense that it allows the decomposition of complex structures according to the user needs, admitting tearing apart the structure into closed, open or closed-open portions (e.g. subdomains) without any(More)
This work describes an automatic tool able to estimate the error in the Integral Equation solution in order to refine the mesh where the error is higher than the chosen threshold. The local refinement is performed through a hierarchical dyadic subdivision on the selected triangles to reach the desired error. As the resulting mesh is non-conformal, a(More)