Boundary integral equations in time-harmonic acoustic scattering
نویسندگان
چکیده
منابع مشابه
Boundary Integral Equations in Time-harmonic Acoustic Scattering
We first review the basic existence results for exterior boundary value problems for the Helmholtz equation via boundary integral equations. Then we describe the numerical solution of these integral equations in two dimensions for a smooth boundary curve using trigonometric polynomials on an equidistant mesh. We provide a comparison of the NystrGm method, the collocation method and the Gale&in ...
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The main subject of this contribution is to present some recent methods, specially designed to be implemented on parallel platforms, to deal with acoustic scattering problems involving a bounded zone filled by a heterogeneous medium. The main approach is to couple a Finite Element Method, for handling this zone, with a Boundary Integral Equation, specially adapted to treat the unbounded part of...
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In this article we describe recent progress on the design, analysis and implementation of hybrid numerical-asymptotic boundary integral methods for boundary value problems for the Helmholtz equation that model time harmonic acoustic wave scattering in domains exterior to impenetrable obstacles. These hybrid methods combine conventional piecewise polynomial approximations with high-frequency asy...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1991
ISSN: 0895-7177
DOI: 10.1016/0895-7177(91)90068-i