High frequency scattering by convex curvilinear polygons

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

High frequency scattering by convex curvilinear polygons

We consider scattering of a time-harmonic acoustic incident plane wave by a sound soft convex curvilinear polygon with Lipschitz boundary. For standard boundary or finite element methods, with a piecewise polynomial approximation space, the number of degrees of freedom required to achieve a prescribed level of accuracy grows at least linearly with respect to the frequency of the incident wave. ...

متن کامل

A collocation method for high frequency scattering by convex polygons

We consider the problem of scattering of a time-harmonic acoustic incident plane wave by a sound soft convex polygon. Standard boundary or finite element methods, with a piecewise polynomial approximation space, have a computational cost that grows linearly with respect to the frequency of the incident wave. Recently ChandlerWilde and Langdon proposed a novel Galerkin boundary element method fo...

متن کامل

AN hp-BEM FOR HIGH FREQUENCY SCATTERING BY CONVEX POLYGONS

Time harmonic acoustic scattering by convex polygons is considered. Standard schemes with piecewise polynomial approximation spaces have a computational cost that grows at least linearly with respect to the wavenumber. Here we extend a h-version Galerkin boundary element method scheme for this problem developed by ChandlerWilde and Langdon to an hp-version of the BEM, for which we demonstrate a...

متن کامل

A Boundary Element Method for High Frequency Scattering by Convex Polygons

Standard boundary or finite element methods for problems of high frequency acoustic scattering by convex polygons have a computational cost that grows in direct proportion to the frequency of the incident wave. Here we present a novel Galerkin boundary element method, using plane wave basis functions on a graded mesh, for which the number of degrees of freedom required to achieve a prescribed l...

متن کامل

Hybrid numerical-asymptotic approximation for high frequency scattering by penetrable convex polygons

We consider time-harmonic scattering by penetrable convex polygons, a Helmholtz transmission problem. Standard numerical schemes based on piecewise polynomial approximation spaces become impractical at high frequencies due to the requirement that the number of degrees of freedom in any approximation must grow at least linearly with respect to frequency in order to represent the oscillatory solu...

متن کامل

ذخیره 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: Journal of Computational and Applied Mathematics

سال: 2010

ISSN: 0377-0427

DOI: 10.1016/j.cam.2009.08.053