各向异性势问题充要的随机边界积分方程

A sufficient and necessary stochastic boundary integral equation for anisotropic potential problems

本文针对各向异性势问题提出了一类充分必要的随机边界积分方程。数值计算结果表明在退化尺度附近，充要的随机边界积分方程较习用的随机边界积分方程有较大的优越性。

This paper proposes a sufficient and necessary stochastic boundary integral equation for anisotropic potential problems. Based on the first-order Taylor series expansion, the bound ary integral equations concerning the mean and deviation of the potential are derived, respectively. It is found that the randomness of material parameters is equivalent to a randomsource. Numerical examples show that conventional boundary integral equation obtainswrong results when the scale in the fundamental solution approaches its degenerate scale value. Whereas, the sufficient and necessary boundary integral equation results are in good a greement with the practical results.