Local MLACA for fast solution of large-scale scattering problems based on H-matrix structure

In this paper, the local multilevel adaptive cross approximation (LMLACA) based on multilevel partition with H-matrix structure is developed. This structure can reduce the number of leaves related to the sub-block impedance matrix. In order to reduce the CPU memory and time further, variable toleran...

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Bibliographic Details
Main Authors: Lianfeng Ma, Zaiping Nie, Jun Hu
Format: Conference Proceeding
Language:English
Subjects:
Electromagnetic wave propagation
Electromagnetic waves: theory
Interpolation and function approximation (numerical analysis)
Linear algebra (numerical analysis)
Numerical approximation and analysis
Steady-state electromagnetic fields
electromagnetic induction
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Summary:In this paper, the local multilevel adaptive cross approximation (LMLACA) based on multilevel partition with H-matrix structure is developed. This structure can reduce the number of leaves related to the sub-block impedance matrix. In order to reduce the CPU memory and time further, variable tolerance of ACA algorithm based on physical mechanism is adopted. It is decided according to the distance between the two interaction sub-blocks. Numerical Results demonstrate the efficiency of LMLACA.
DOI:10.1049/cp.2009.1364