Hierarchical Bases for Nonhierarchic 3-D Triangular Meshes

  title={Hierarchical Bases for Nonhierarchic 3-D Triangular Meshes},
  author={F. P. Andriulli and Francesca Vipiana and G. Vecchi},
  journal={IEEE Transactions on Antennas and Propagation},
We describe a novel basis of hierarchical, multiscale functions that are linear combinations of standard Rao-Wilton-Glisson (RWG) functions. When the basis is used for discretizing the electric field integral equation (EFIE) for PEC objects it gives rise to a linear system immune from low-frequency breakdown, and well conditioned for dense meshes. The proposed scheme can be applied to any mesh with triangular facets, and therefore it can be used as if it were an algebraic preconditioner. The… CONTINUE READING
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