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Communication Dans Un Congrès Année : 2013

Primal and Dual Graph Haar Bases for the Hierarchical Regularization of the EFIE on Unstructured Meshes

Résumé

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.

Domaines

Electronique
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Dates et versions

hal-01005535 , version 1 (12-06-2014)

Identifiants

Citer

Simon Adrian, Thomas Eibert, Francesco Andriulli. Primal and Dual Graph Haar Bases for the Hierarchical Regularization of the EFIE on Unstructured Meshes. ICEAA 2013 : IEEE International Conference on Electromagnetics in Advanced Applications, Sep 2013, Turin, Italy. pp.942 - 944, ⟨10.1109/ICEAA.2013.6632378⟩. ⟨hal-01005535⟩
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