中文摘要：

使用间断Galerkin有限元计算一维半线性椭圆方程u＂＋u^3=0,u（0）=u（π）=0的多解问题,对于其中的非线性项采用插值系数有限元来处理.数值例子中得到了没有振荡的数值解,证实了该方法的有效性.

英文摘要：

Discontionous Galerkin method is used to computer the multiple solutions of one-dimensional semilinear elliptic equtions, i.e., u″＋ u^3 = 0, u（0） = u（π） = 0. Interpolated wefficient fivite element method is adopted to deal with the nonlinear iterm. In the numerical example, the numerical solutions with no oscillation is obtained, it shows the efficiency of the method.