Spectral Galerkin method for solving Helmholtz boundary integral equations on smooth screens

DOI10.1093/IMANUM/DRAB074zbMath1502.65203OpenAlexW3216287421MaRDI QIDQ5042901

José Pinto, Carlos Jerez-Hanckes

Publication date: 26 October 2022

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drab074

zbMATH Keywords

boundary integral equationsspectral methodswave scattering problemsnon-Lipschitz domainsscreens problems

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) PDEs in connection with optics and electromagnetic theory (35Q60) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Fredholm integral equations (45B05) Numerical integration (65D30)

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