Title
A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints
Document Type
Article
Publication Date
1-1-2017
Abstract
We consider finite element methods for elliptic distributed optimal control problems with pointwise state constraints on two and three dimensional convex polyhedral domains formulated as fourth order variational inequalities. We develop a new convergence analysis that is applicable to C1 finite element methods, classical nonconforming finite element methods and discontinuous Galerkin methods.
Publication Source (Journal or Book title)
SIAM Journal on Control and Optimization
First Page
2289
Last Page
2304
Recommended Citation
Brenner, S., & Sung, L. (2017). A new convergence analysis of finite element methods for elliptic distributed optimal control problems with pointwise state constraints. SIAM Journal on Control and Optimization, 55 (4), 2289-2304. https://doi.org/10.1137/16M1088090