Fast wavefield evaluation method based on modified proxy-surface-accelerated interpolative decomposition for two-dimensional scattering problems

DOI10.14495/JSIAML.16.61zbMATH Open1547.65187MaRDI QIDQ6601509

Yasuhiro Matsumoto

Publication date: 10 September 2024

Published in: JSIAM Letters (Search for Journal in Brave)

zbMATH Keywords

boundary integral equationproxy surface methodfast wavefield evaluation

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Diffraction, scattering (78A45) Numerical interpolation (65D05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38) Integral representations, integral operators, integral equations methods in two dimensions (31A10) Multipole methods applied to problems in optics and electromagnetic theory (78M16)

Cites Work

• Multiple traces boundary integral formulation for Helmholtz transmission problems
• A fast direct solver for boundary integral equations in two dimensions
• On the Compression of Low Rank Matrices
• Acoustic and electromagnetic equations. Integral representations for harmonic problems

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