Second-Order Absorbing Boundary Conditions for the Wave Equation in a Rectangular Domain
نویسندگان
چکیده
منابع مشابه
A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions
we mtroduce a fourth-order energy for the three-chmenslonal wave equation m rectangular domams with second-order absorbmg boundary condltlons A decay rate of the energy m the domam with respect to time IS estimated m terms of the boundary integral Absorbmg boundary conchtlons considered m tins paper mclude the treatment of the case of anmlnlatlon of obliquely incident waves arrlvmg at the bound...
متن کاملNumerical Absorbing Boundary Conditions for the Wave Equation
We develop a theory of difference approximations to absorbing boundary conditions for the scalar wave equation in several space dimensions. This generalizes the work of the author described in [8]. The theory is based on a representation of analytical absorbing boundary conditions proven in [8]. These conditions are defined by compositions of first-order, one-dimensional differential operators....
متن کاملAbsorbing boundary conditions for the wave equation and parallel computing
Absorbing boundary conditions have been developed for various types of problems to truncate infinite domains in order to perform computations. But absorbing boundary conditions have a second, recent and important application: parallel computing. We show that absorbing boundary conditions are essential for a good performance of the Schwarz waveform relaxation algorithm applied to the wave equati...
متن کاملWave equation with second–order non–standard dynamical boundary conditions
The paper deals with the well–posedness of the problem 8 >< >: utt −∆u = 0 in R× Ω, utt = kuν on R× Γ, u(0, x) = u0(x), ut(0, x) = v0(x) in Ω, where u = u(t, x), t ∈ R, x ∈ Ω, ∆ = ∆x denotes the Laplacian operator respect to the space variable, Ω is a bounded regular (C∞) open domain of RN (N ≥ 1), Γ = ∂Ω, ν is the outward normal to Ω, k is a constant. We prove that it is ill–posed if N ≥ 2, wh...
متن کاملA Pseudospectral Chebychev Method for the 2D Wave Equation with Domain Stretching and Absorbing Boundary Conditions
therefore the damping layer has to be large enough to prevent reentrant waves at the physical boundary. Hence In this paper we develop a method for the simulation of wave propagation on artificially bounded domains. The acoustic wave the approach is not only costly in terms of memory requireequation is solved at all points away from the boundaries by a ments but also it is not very flexible. In...
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: Mathematics of Computation
سال: 1993
ISSN: 0025-5718
DOI: 10.2307/2153242