Fast volumetric integral-equation solver for high-contrast acoustics.
An approach for solving volumetric integral equations in acoustics, applicable to problems involving large density contrasts, is described. While the conventional Lippmann-Schwinger integral equations become under such circumstances ill conditioned, the proposed approach reformulates them and casts them into an equivalent system of well-conditioned surface and volume integral equations. The corresponding fast solver [utilizing stiffness matrix compression based on fast Fourier transforms and characterized by O(N log N) solution complexity and storage requirements, where N is the number of unknowns] was enhanced to incorporate the proposed formulation. Features of the solution method and of the solver are illustrated on representative examples of numerically large problems.
Bleszynski
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Monopole Research, Thousand Oaks, California 91360, USA. elizabeth@monopoleresearch.com
Bleszynski
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Jaroszewicz
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D000162:Acoustics; D000465:Algorithms; D003198:Computer Simulation; D005583:Fourier Analysis; D008962:Models, Theoretical; D009038:Motion; D009716:Numerical Analysis, Computer-Assisted; D010316:Particle Size; D011312:Pressure; D012031:Refractometry; D013016:Sound; D013499:Surface Properties