When the Electric Field Integral Equation (EFIE) is discretized with a stable basis, such as the RWG basis functions, the resulting system matrix is, in general, ill-conditioned. Hierarchical bases can be used as preconditioner to overcome this issue. For a complete regularization of the EFIE, they require, however, a structured mesh (i.e., a mesh resulting from a dyadic refinement), which limits the applicability and generality of the method. In this work, we present a hierarchical bases preconditioner that can be applied to any unstructured mesh. Numerical results demonstrate the effectiveness of our approach.
Primal and dual graph haar bases for the hierarchical regularization of the EFIE on unstructured meshes / Adrian, S. B.; Eibert, T. F.; Andriulli, FRANCESCO PAOLO. - (2013), pp. 942-944. ((Intervento presentato al convegno 2013 International Conference on Electromagnetics in Advanced Applications (ICEAA) [10.1109/ICEAA.2013.6632378].
|Titolo:||Primal and dual graph haar bases for the hierarchical regularization of the EFIE on unstructured meshes|
|Data di pubblicazione:||2013|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|
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