Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering
نویسندگان
چکیده
منابع مشابه
Numerical-asymptotic boundary integral methods in high-frequency acoustic scattering∗
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...
متن کاملA hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering
We propose a new robust method for the computation of scattering of highfrequency acoustic plane waves by smooth convex objects in 2D. We formulate this problem by the direct boundary integral method, using the classical combined potential approach. By exploiting the known asymptotics of the solution, we devise particular expansions, valid in various zones of the boundary, which express the sol...
متن کاملBoundary integral methods in high frequency scattering
In this article we review recent progress on the design, analysis and implementation of numerical-asymptotic boundary integral methods for the computation of frequencydomain acoustic scattering in a homogeneous unbounded medium by a bounded obstacle. The main aim of the methods is to allow computation of scattering at arbitrarily high frequency with finite computational resources.
متن کاملBoundary Integral Equations Methods in Acoustic Scattering
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...
متن کاملNumerical Methods for High Frequency Acoustic Scattering Problems
Acoustic wave scattering problems arise in application areas as diverse as the modelling of sonar, acoustic noise barriers, and ultrasound. In many practical applications the characteristic length scale L of the domain is large compared to the wavelength . In such cases the small dimensionless wavelength L / leads to oscillatory solutions. In order to resolve these solutions, standard numer...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Acta Numerica
سال: 2012
ISSN: 0962-4929,1474-0508
DOI: 10.1017/s0962492912000037