We investigate discontinuous Galerkin methods for an elliptic optimal control problem with a general state equation and pointwise state constraints on general polygonal domains. We show that discontinuous Galerkin methods for general second-order elliptic boundary value problems can be used to solve the elliptic optimal control problems with pointwise state constraints. We establish concrete error estimates and numerical experiments are shown to support the theoretical results.

翻译：我们用一般状态方程和对一般多边形域的点度限制来调查极地极地最佳控制问题不连续的Galerkin方法。我们证明,一般二级极地极地边界值问题的不连续的Galerkin方法可以用点度限制来解决极地极地最佳控制问题。我们确定具体的误差估计和数字实验可以支持理论结果。</s>