一类四阶微积分方程的有限元逼近
Finite element approximation of a class of fourth-order integro-differential equations

考虑四阶微积分吊桥模型在分段线性多项式空间上的有限元逼近. 引入Newton型迭代法来处理积分项，大大提高了计算效率. 给出相应的误差分析以及数值结果来说明方法可行性和有效性.
Finite element method is proposed to approximate a class of fourth-order integro-differential equation modeling the suspension bridge. Newton type iteration method is presented to deal with the integration term，which greatly improve the computational efficiency. Moreover，error estimate of the method is developed. Numerical experiments are given to confirm the feasibility and efficiency of the method