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

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