A Multiresolution Approach to the Electric Field Integral Equation in Antenna Problems

DOI10.1137/050634943zbMath1134.78016OpenAlexW2052247014MaRDI QIDQ5444240

Anita Tabacco, Giuseppe Vecchi, Francesco P. Andriulli

Publication date: 25 February 2008

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/050634943

zbMATH Keywords

waveletsintegral equationsmethod of momentstriangular meshesantennasmultiresolutionanalysis

Mathematics Subject Classification ID

Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for wavelets (65T60) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) General harmonic expansions, frames (42C15)

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A new multilevel method for electrostatic problems through hierarchical loop basis ⋮ On the computation of extremal trees of Harmonic index with given edge-vertex domination number ⋮ A hierarchical preconditioner for the electric field integral equation on unstructured meshes based on primal and dual Haar bases ⋮ Introducing higher-order Haar wavelet method for solving three-dimensional partial differential equations ⋮ Stable multilevel splittings of boundary edge element spaces ⋮ On a refinement-free Calderón multiplicative preconditioner for the electric field integral equation ⋮ Two-tier non-simplex grid hierarchic basis for general 3D meshes ⋮ Multilevel RBF collocation method for the fourth-order thin plate problem ⋮ Wavelets for the Maxwell's equations: an overview

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