We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Morley FEM for a Distributed Optimal Control Problem Governed by the von Kármán Equations.
- Authors
Chowdhury, Sudipto; Nataraj, Neela; Shylaja, Devika
- Abstract
Consider the distributed optimal control problem governed by the von Kármán equations defined on a polygonal domain of ℝ2 that describe the deflection of very thin plates with box constraints on the control variable. This article discusses a numerical approximation of the problem that employs the Morley nonconforming finite element method (FEM) to discretize the state and adjoint variables. The control is discretized using piecewise constants. A priori error estimates are derived for the state, adjoint and control variables under minimal regularity assumptions on the exact solution. Error estimates in lower-order norms for the state and adjoint variables are derived. The lower-order estimates for the adjoint variable and a post-processing of control leads to an improved error estimate for the control variable. Numerical results confirm the theoretical results obtained.
- Subjects
VON Karman equations; FINITE element method
- Publication
Computational Methods in Applied Mathematics, 2021, Vol 21, Issue 1, p233
- ISSN
1609-4840
- Publication type
Article
- DOI
10.1515/cmam-2020-0030