各向异性弹性介质中波动方程的吸收边界条件

ABSORBING BOUNDARY CONDITIONS FOR ANISOTROPIC ELASTIC WAVE EQUATIONS

给出了各向异性弹性介质中波动方程的两种类型的吸收边界条件，一种是连续型条件，它是Ｃｌａｙｔｏｎ－Ｅｎｇｑｕｉｓｔ条件的推广；另一种是离散型条件，它是廖振鹏条件的改进．文中对两种边界条件的稳定性和反射性质作了理论上的分析．数值试验的结果表明，本文提出的条件有很好的吸收效果．

In this paper two kinds of absorbing boundary conditions for the anisotropic elastic wave equations are presented. One of them is of analytical form, which generalizes the Clayton-Engquist-majda conditions for the acoustic and isotropic elastic wave equations. Another one is of discrete form, which is an improvement over the Liao Zhenpeng condition.The stability and reflection properties of the given conditions are analysed. The results of numerical experiments have confirmed their satisfactory absorbing effect for the artificial reflective waves.