9 research outputs found
Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints
Finite element methods for a model elliptic distributed optimal control
problem with pointwise state constraints are considered from the perspective of
fourth order boundary value problems
Superconvergence of The Derivative Patch Recovery Technique and A Posteriori Error Estimation
The derivative patch recovery technique developed by Zienkiewicz and Zhu [1] - [3] for the finite element method is analyzed. It is shown that, for one dimensional problems and two dimensional problems using tensor product elements, the patch recovery technique yields superconvergence recovery for the derivatives. Consequently, the error estimator based on the recovered derivative is asymptotically exact
Finite element methods for elliptic distributed optimal control problems with pointwise state constraints (survey)
Finite element methods for a model elliptic distributed optimal control problem with pointwise state constraints are considered from the perspective of fourth order boundary value problems