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The aim of this paper is the study of some asymptotic properties and invariances of the electric field integral equation (EFIE) when applied to large and smooth structures. It is theoretical in nature, and thus no numerical results are included in this communication.
This work presents a fast solver that always annihilates the divergence of solenoidal functions, independent of the precision of the compressed impedance matrix elements. The solver is obtained by compressing a loop-tree transformed impedance matrix by using a properly tailored fast solver. Then the impedance matrix in the usual (and undecomposed) RWG basis is reconstructed by a linear-in-complexity...
A new approach to discretize the electric field integral equation (EFIE) that hybridizes Calderon and hierarchical techniques is presented. The benefits of these two techniques are combined and inherited by the proposed method. The result is an EFIE solver which is immune from low-frequency breakdown, well-conditioned in the presence of densely discretized structures and exhibits only minimal computational...
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