An Adaptive Gradient-DWR Finite Element Algorithm for an Optimal Control Constrained Problem

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
2/2008
Title:
An Adaptive Gradient-DWR Finite Element Algorithm for an Optimal Control Constrained Problem
Date:
Tuesday 29th January 2008
Author(s):
Berrone, Stefano; Verani, Marco
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Abstract:
We present an adaptive finite element algorithm for the numerical approximation of distributed control constrained problems governed by second order elliptic PDEs. The algorithm is based on a suitable co-operation between a gradient type descent numerical scheme and the dual weighted residual (DWR) method. We assess the efficiency of the algorithm on several test problems and compare its performances with the ones of the residual based adaptive algorithm introduced in [17].