Error estimates of pseudostress-velocity MFEM for optimal control problems governed by stokes equations

摘要

In this paper, we study the error analysis of R-T mixed finite element methods for optimal control problems governed by stationary Stokes equations. To avoid the difficulty induced by the symmetry constraint on the stress tensor, we use the pseudostress proposed by Arnold and Falk [1] to replace it. Then, we obtain the pseudostress-velocity formulation of the optimal control problem. Moreover, we prove a priori and a posteriori error estimates for the new formulation, and an example is provided to confirm our results. (C) 2018 IMACS. Published by Elsevier B.V. All rights reserved.