ℋ 2 ‐matrix‐based fast volume integral equation solver for electrodynamic analysis | Zendy

Omar Saad | Zendy; Jiao Dan | Zendy

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ℋ 2 ‐matrix‐based fast volume integral equation solver for electrodynamic analysis

Author(s) -

Omar Saad,

Jiao Dan

Publication year - 2013

Publication title -

iet microwaves, antennas and propagation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.555

H-Index - 69

eISSN - 1751-8733

pISSN - 1751-8725

DOI - 10.1049/iet-map.2013.0090

Subject(s) - solver , integral equation , matrix (chemical analysis) , volume (thermodynamics) , matrix algebra , mathematics , physics , mathematical analysis , mathematical optimization , materials science , eigenvalues and eigenvectors , quantum mechanics , composite material

An ℋ 2 ‐matrix‐based mathematical framework is introduced and further developed to reduce the computational complexity of the volume integral equation (VIE)‐based analysis of electrodynamic problems. Numerical experiments have demonstrated a significant reduction in CPU time and memory consumption. A linear scaling with respect to matrix size in both CPU time and memory is achieved for small and medium‐sized electrodynamic problems with an interpolation‐based ℋ 2 ‐representation of the VIE operator in conjunction with a rank function for accuracy control. The proposed solver is applicable to arbitrarily shaped three‐dimensional structures immersed in inhomogeneous materials.

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