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The full-wave simulation of metamaterials, presenting densely packed assemblies of subwavelength meta-atoms, poses a challenge for the computational electromagnetics community. Preserving the geometrical features of this kind of structures needs a highly discretized mesh, leading to problems that easily reach several tens of millions of unknowns if boundary element methods are used, despite the electric...
The majority of the surface integral equation (SIE) formulations have balancing problems due to the very different scales of the equivalent electric and magnetic currents. As a result of this, the impedance matrix usually has an ill-condition number because of the imbalance between the different blocks, and the use of a preconditioner for a correct balancing between these blocks is necessary. In this...
Surface Integral Equations (SIEs) constitute a very powerful method for the analysis of electromagnetic scattering of homogeneous penetrable objects. The discretization of SIEs, however, results in a non-sparse system matrix, expensive to store and solve. In order to consider complex large-scale problems with a high number of unknowns, acceleration methods like the fast multipole method are required,...
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