Variational discretization of parabolic control problems on evolving surfaces with pointwise state constraints

2016/04/26 by Hinze, Michael, Kröner, Heiko
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1604.07658

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.

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