Decoupled mixed element methods for fourth order elliptic control problems with control constraints
发布时间：2024-08-09
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- 所属单位：
- 理学院
- 发表刊物：
- Numerical Mathematics-Theory Methods and Applications
- 关键字：
- Fourth order elliptic equation, optimal control problem, decoupled mixed element method, Lagrange element, nonconforming Crouzeix-Raviart element, a priori error estimates.
- 摘要：
- In this paper, we study the finite element methods for distributed optimal control problems governed by the biharmonic operator. Motivated from reducing the regularity of solution space, we use the decoupled mixed element method which was used to approximate the solution of biharmonic equation to solve the fourth order optimal control problems. Two finite element schemes, i.e., Lagrange conforming element combined with full control discretization and the nonconforming Crouzeix-Raviart element combined with variational control discretization, are used to discretize the decoupled optimal control system. The corresponding a priori error estimates are derived under appropriate norms which are then verified by extensive numerical experiments.
- 合写作者：
- 金昌
- 第一作者：
- 沈玥
- 论文类型：
- 期刊论文
- 卷号：
- 2/13/400-432
- 是否译文：
- 否
- 发表时间：
- 2020-05-10