On some Operator Filtering Strategies Based on Suitably Modified Green’s Functions
Résumé
Recent contributions showed the benefits of operator
filtering for both preconditioning and fast solution strategies.
While previous contributions leveraged laplacian-based filters, in
this work we introduce and study a different approach leveraging
the truncation of appropriately chosen spectral representations
of operators’ kernels. In this contribution, the technique is
applied to the operators of the 2D TE- and TM-electric field
integral equations (EFIE). We explore two different spectral
representations for the 2D Green’s function that lead to two
distinct types of filtering of the EFIE operators. Numerical results
corroborate the effectiveness of the newly proposed approaches,
also in the Calderón preconditioned EFIE.