CAJ | 학술논문

研究了用混合有限元法逼近由非线性椭圆方程控制的一般凸最优控制问题，并将插值系数的思想用于问题的非线性项用处理，得到了一种简单而高效的数值方法---插值系数混合有限元法，并对状态和控制变量分别推导出了其最优阶的先验误差估计。
연구료용혼합유한원법핍근유비선성타원방정공제적일반철최우공제문제，병장삽치계수적사상용우문제적비선성항용처리，득도료일충간단이고효적수치방법---삽치계수혼합유한원법，병대상태화공제변량분별추도출료기최우계적선험오차고계。
In this paper, we will study a general convex optimal control problem governed by nonlinear ellip-tic equations using mixed finite element. Then, we' ll use the interpolation coefficient thought to process the nonlinear term of equations to obtain a simple and efficient numerical method--the interpolation coefficient mixed finite element method. Finally we' ll derive a priori error estimates of optimal order both for the state variables and the control variables.