A posteriori error estimates for control problems governed by nonlinear elliptic equations in hp-FEM

A posteriori error estimates for control problems governed by nonlinear elliptic equations in hp-FEM

0.00 Avg rating—0 Votes
Article ID: iaor20142023
Volume: 238
Start Page Number: 163
End Page Number: 176
Publication Date: Jul 2014
Journal: Applied Mathematics and Computation
Authors: ,
Keywords: programming: nonlinear
Abstract:

In this paper, we derive a posteriori error estimates for the hp finite element approximation of the distributed convex optimal control problems governed by nonlinear elliptic equations. We obtain hp‐a posteriori error estimators for both the state and the control approximation. These estimates can be used to construct reliable adaptive finite element approximation for the control problems.

Reviews

Required fields are marked *. Your email address will not be published.