Well-conditioned boundary integral equations for two-dimensional sound-hard scattering problems in domains with corners

DOI10.1216/JIE-2012-24-3-321zbMath1321.65186OpenAlexW2091773928MaRDI QIDQ1931287

Jeffrey S. Ovall, Akash Anand, Catalin Turc

Publication date: 25 January 2013

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1350925560

zbMATH Keywords

acoustic scatteringcombined-field integral equationsgeometric singularities

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Scattering theory for PDEs (35P25) Special integral transforms (Legendre, Hilbert, etc.) (44A15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (10)

Conforming boundary element methods in acoustics ⋮ On the regularization of Cauchy-type integral operators via the density interpolation method and applications ⋮ A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations ⋮ Nyström discretizations of boundary integral equations for the solution of 2D elastic scattering problems ⋮ A fast direct solver for the integral equations of scattering theory on planar curves with corners ⋮ On the solution of direct and inverse multiple scattering problems for mixed sound-soft, sound-hard and penetrable objects ⋮ Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces ⋮ Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects ⋮ A highly accurate boundary integral method for the elastic obstacle scattering problem ⋮ Suppression of spurious frequencies in scattering problems by means of boundary algebraic and combined field equations

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