Iterative solutions of boundary integral equations in acoustics

DOI10.1098/rspa.1988.0050zbMath0647.65083OpenAlexW2008020765MaRDI QIDQ3792194

G. F. Roach, Ralph E. Kleinman

Publication date: 1988

Published in: Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1988.0050

zbMATH Keywords

acoustic scatteringboundary integral equationsIteration

Mathematics Subject Classification ID

Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Numerical methods for integral equations (65R20) Iterative numerical methods for linear systems (65F10) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Applications to the sciences (65Z05) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (7)

Construction of some iterative methods for solving boundary element linear systems ⋮ An iterative solution strategy for boundary element equations from mixed boundary value problems ⋮ An over-relaxation method for the iterative solution of integral equations in scattering problems ⋮ An iterative GMRES-based boundary element solver for acoustic scattering. ⋮ Performance of iterative solvers for acoustic problems. I: Solvers and effect of diagonal preconditioning. ⋮ On using a modified Nyström method to solve the 2-D potential problem ⋮ A FAST AND STABLE NUMERICAL SOLUTION FOR ACOUSTIC BOUNDARY ELEMENT METHOD EQUATIONS COMBINED WITH THE BURTON AND MILLER METHOD FOR MODELS CONSISTING OF CONSTANT ELEMENTS

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