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.
C., Acoustic and electromagnetic equations: integral repre- sentations for harmonic problems (Vol
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A nested-domain volume-surface integral equation for the Helmholtz equation with heterogeneous density is derived and verified against BEM and FEM-BEM benchmarks.
MscaleFNO learns mappings from oscillatory media to wavefields for Helmholtz inverse problems and pairs it with diffusion regularization for partial-aperture 2D reconstructions.
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An accelerated direct solver for scalar wave scattering by multiple transmissive inclusions in two dimensions
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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Nested Volume-Surface Integral Equations for Acoustics
A nested-domain volume-surface integral equation for the Helmholtz equation with heterogeneous density is derived and verified against BEM and FEM-BEM benchmarks.
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Multiscale Fourier Neural Operator for Inverse Wave Scattering in Highly Oscillatory Media
MscaleFNO learns mappings from oscillatory media to wavefields for Helmholtz inverse problems and pairs it with diffusion regularization for partial-aperture 2D reconstructions.