论文标题
椭圆形最佳控制问题的Galerkin FE方法由2D空间折叠PDES管辖
A Galerkin FE method for elliptic optimal control problem governed by 2D space-fractional PDEs
论文作者
论文摘要
在本文中，我们提出了一种由RIESZ空间裂缝PDES在2D域上控制的椭圆形最佳控制问题的Galerkin有限元方法，控制变量被变异离散技术离散化。最佳条件是得出的，并成功地建立了控制，倒计和状态变量的先验误差估计。进行数值测试以说明这种方法的准确性性能。
In this paper, we propose a Galerkin finite element method for the elliptic optimal control problem governed by the Riesz space-fractional PDEs on 2D domains with control variable being discretized by variational discretization technique. The optimality condition is derived and priori error estimates of control, costate and state variables are successfully established. Numerical test is carried out to illustrate the accuracy performance of this approach.
