Publications (2)1.36 Total impact
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Article: On the O(1) solution of multiple-scattering problems
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ABSTRACT: In this paper, we present a multiple-scattering solver for nonconvex geometries such as those obtained as the union of a finite number of convex surfaces. For a prescribed error tolerance, this algorithm exhibits a fixed computational cost for arbitrarily high frequencies. At the core of the method is an extension of the method of stationary phase, together with the use of an ansatz for the unknown density in a combined-field boundary integral formulation.IEEE Transactions on Magnetics 06/2005; · 1.36 Impact Factor -
Article: High-Frequency Integral Equation Solver for 3-D Wave Scattering Around Convex Obstacles
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ABSTRACT: Résumé — We present a numerical method for the computation of wave scattering by convex three-dimensional obstacles, which exhibits a bounded computational complexity for arbitrarily high frequencies. The method is based on a combination of a high-frequency ansatz for the unknown density in a boundary integral formulation of the prob-lem, and an extension of the ideas of the method of stationary phase to allow for the efficient integration of oscillatory functions. The method builds upon the ideas proposed in [2] and [1].