A fourth-order energy for the three-dimensional wave equation with second-order absorbing boundary conditions

نویسندگان

  • Dongwoo Sheen
  • Wonkyu Sohn
چکیده

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 boundary Numerical results are also shown @ 2001 Elsevler Science Ltd All rights reserved Keywords-Higher-order energy, Absorbmg boundary conchtlons, Wave equation

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

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Use of the Telegraphy Equation to Improve Absorbing Boundary Efficiency for Fourth-order Acoustic Wave Finite Difference Schemes

Finite difference methods are becoming increasingly popular for calculating synthetic seismograms because of the ease with which they can be applied to model the low-frequency response of complex geometries for which no analytical solutions can be derived. In addition to the obvious advances in computing speed and storage capabilities which have made numerical solution of large, realistic geome...

متن کامل

Existence of positive solutions for fourth-order boundary value problems with three- point boundary conditions

In this work, by employing the Krasnosel'skii fixed point theorem, we study the existence of positive solutions of a three-point boundary value problem for the following fourth-order differential equation begin{eqnarray*} left { begin{array}{ll} u^{(4)}(t) -f(t,u(t),u^{prime prime }(t))=0 hspace{1cm} 0 leq t leq 1, & u(0) = u(1)=0, hspace{1cm} alpha u^{prime prime }(0) - beta u^{prime prime pri...

متن کامل

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

متن کامل

High order nite-di erence approximations of the wave equation with absorbing boundary conditions: a stability analysis

This paper deals with the stability of nite di erence approximations of initial value problems for the wave equation with absorbing boundary conditions. The stability of a family of high order variational numerical schemes is studied by energy techniques. Dirichlet, sponge and rst order paraxial absorbing boundary conditions are treated. The variational form of the schemes as well as the use of...

متن کامل

Stability of wide-angle absorbing boundary conditions for the wave equation

Numerical solution of the two-dimensional wave equation requires mapping from a physical domain without boundaries to a computational domain with artificial boundaries. For realistic solutions, the artificial boundaries should cause waves to pass directly through and thus mimic total absorption of energy. An artificial boundary which propagates waves in one direction only is derived from approx...

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

عنوان ژورنال:
  • Appl. Math. Lett.

دوره 14  شماره 

صفحات  -

تاریخ انتشار 2001