1前言由语音生成过程建立的数学模型是一个无界区域上的声压波动方程,引入人工边界可将这个无界区域分成一个内部有界区域和另一个无界区域,再将时间和空间进行变量分离,就可以得到一个如下一维简单的基于内部有界区间的微分方程边值问题
In this paper,we introduce and analyze the finite element method with an artificial boundary for Webster equation.At first based on the assumption on the piecewise regularity of the solution,we present the finite element scheme and the basic error estimate.Next we derive the corresponding Green function and its finite element approximate. Finally we prove the superconvergence u—u_h=(?)(h~(2n))at the nodal points and u—U_h=O(h~(n+2)),n≥2 at the(n+1)-order Lobatto points.The theoretical results are tested by ...