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

Francesco P. Andriulli | Zendy; Anita Tabacco | Zendy; G. Vecchi | Zendy

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

Author(s) -

Francesco P. Andriulli,

Anita Tabacco,

G. Vecchi

Publication year - 2007

Publication title -

siam journal on scientific computing

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.674

H-Index - 147

eISSN - 1095-7197

pISSN - 1064-8275

DOI - 10.1137/050634943

Subject(s) - mathematics , solenoidal vector field , electric field integral equation , mathematical analysis , discretization , integral equation , multiresolution analysis , finite element method , scalar (mathematics) , boundary value problem , wavelet , vector field , wavelet transform , geometry , computer science , discrete wavelet transform , physics , artificial intelligence , thermodynamics

This paper deals with a multiresolution approach to the finite-element solution of the electric field integral equation (EFIE) formulation of the boundary value problem for Maxwell equations. After defining a multiresolution set of discretized spaces, each of them is first separated into solenoidal and nonsolenoidal complementary spaces. The possibility of obtaining these two spaces with a scalar-to-vector space mapping is used to consider first two separate scalar wavelet decompositions, and then to transform them properly into the two desired vector finite-element sets, finally joined to obtain the complete multiresolution basis. Numerical results, obtained for real life antennas, are presented to verify the actual sparsity of the system matrix and to show the fast convergence behavior of iterative solvers

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