Transmission Conditions for the Helmholtz-Equation in Perforated Domains
نویسندگان
چکیده
منابع مشابه
Second-order Transmission Conditions for the Helmholtz Equation
We present an iterative nonoverlapping domain decomposition method with second-order Robin-type transmission conditions for the scalar Helmholtz equation in two dimensions. The analysis of the proposed method parallels that for the traditional Robin-type transmission conditions. The new method requires no additional computational complexity and exhibit a more rapid convergence to the exact solu...
متن کاملThe Helmholtz Equation on Lipschitz Domains
We use the method of layer potentials to study interior and exterior Dirichlet and Neumann problems for the Helmholtz equation ( +k)u = 0 on a Lipschitz domain for all wave number k 2C with Imk 0. Following the approach for the case of smooth boundary [3], we pursue as solution a single layer potential for Neumann problem or a double layer potential for Dirichlet problem. The lack of smoothness...
متن کاملAn optimized Schwarz method with two-sided Robin transmission conditions for the Helmholtz equation
Optimized Schwarz methods are working like classical Schwarz methods, but they are exchanging physically more valuable information between subdomains and hence have better convergence behavior. The new transmission conditions include also derivative information, not just function values, and optimized Schwarz methods can be used without overlap. In this paper, we present a new optimized Schwarz...
متن کاملCompressed Absorbing Boundary Conditions for the Helmholtz Equation
Absorbing layers are sometimes required to be impractically thick in order to offer an accurate approximation of an absorbing boundary condition for the Helmholtz equation in a heterogeneous medium. It is always possible to reduce an absorbing layer to an operator at the boundary by layer-stripping elimination of the exterior unknowns, but the linear algebra involved is costly. We propose to by...
متن کاملOn a Helmholtz transmission problem in planar domains with corners
A particular mix of integral equations and discretization techniques is suggested for the solution of a planar Helmholtz transmission problem with relevance to plasmonics. The transmission problem describes the scattering of a time harmonic transverse magnetic wave from an infinite dielectric cylinder with complex permittivity and sharp edges. Numerical examples illustrate that the resulting sc...
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: Vietnam Journal of Mathematics
سال: 2016
ISSN: 2305-221X,2305-2228
DOI: 10.1007/s10013-016-0222-y