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On the Adaptive Cross Approximation for the Magnetic Field Integral Equation
  • Joshua M. Tetzner,
  • Simon B. Adrian
Joshua M. Tetzner
Fakultät für Informatik und Elektrotechnik, Universität Rostock
Simon B. Adrian
Fakultät für Informatik und Elektrotechnik, Universität Rostock

Corresponding Author:[email protected]

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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.
20 Jan 2024Submitted to TechRxiv
26 Jan 2024Published in TechRxiv