Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints
Optimization and Control
2016-04-27 v1
Abstract
We consider a linear-quadratic pde constrained optimal control problem on an evolving surface with pointwise state constraints. We reformulate the optimization problem on a fixed surface and approximate the reformulated problem by a discrete control problem based on a discretization of the state equation by linear finite elements in space and a discontinuous Galerkin scheme in time. We prove error bounds for control and state.
Cite
@article{arxiv.1604.07658,
title = {Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints},
author = {Michael Hinze and Heiko Kröner},
journal= {arXiv preprint arXiv:1604.07658},
year = {2016}
}
Comments
13 pages