A proxy-method direct solver for Helmholtz transmission problems with many inclusions compresses the linear system to O(ωD) size and runs in O(N^{1.5}) time using the PMCHWT formulation, outperforming Burton-Miller.
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Calibration of the three-parameter friction tensor in stress-jump conditions for arbitrary-direction Stokes-Darcy flow reduces effectively to one dimension via porous-medium structure, with robust accuracy even for coarse estimates.
This survey distills theoretical insights and practical design principles for domain decomposition methods as preconditioners, emphasizing robust coarse spaces and high-performance computing implementations.
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Calibration of stress-jump conditions for arbitrary flow directions in fluid-porous systems
Calibration of the three-parameter friction tensor in stress-jump conditions for arbitrary-direction Stokes-Darcy flow reduces effectively to one dimension via porous-medium structure, with robust accuracy even for coarse estimates.