Work

On the Adaptive Cross Approximation for the Magnetic Field Integral Equation

Year: 2024

Type: article

Abstract: We present an adaptive cross approximation (ACA) strategy for the magnetic field integral equation (MFIE), where an application of the standard ACA strategy can suffer from early convergence, in particular, due to block-structured interaction matrices associated with well-separated source and test domains. Our scheme relies on a combination of three pivoting strategies, where the active strategy is determined by a convergence criterion that extends the standard criterion with a mean-based random sampling criterion; the random samples give rise to one of the pivoting strategies, while the other two are based on (standard) partial pivoting and fill-distance pivoting. In contrast to other techniques, the purely algebraic nature as well as the quasilinear complexity of the ACA for electrically small problems are maintained. Numerical results show the effectiveness of our approach.

Source: IEEE Transactions on Antennas and Propagation

DOI: 10.1109/tap.2024.3483296

Authors: Joshua M. Tetzner, Simon B. Adrian

Institution: University of Rostock

Language: English

Topic: Electromagnetic Scattering and Analysis

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,495

Funder: Deutsche Forschungsgemeinschaft