A $$\varvec{C}^0$$ C 0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints

Susanne C Brenner,Sara Pollock,Mira Schedensack,Natasha S Sharma,Kamana Porwal,Minah Oh

doi:10.1007/978-1-4939-6399-7_1

A $$\varvec{C}^0$$ C 0 Interior Penalty Method for Elliptic Distributed Optimal Control Problems in Three Dimensions with Pointwise State Constraints

Susanne C Brenner, Sara Pollock + Show 4 more

https://doi.org/10.1007/978-1-4939-6399-7_1

Copy DOI

Publication Date: Jan 1, 2016

Citations: 11

Affiliation: Louisiana State University, Texas A&M University, University of Bonn

#Elliptic Distributed Optimal Control Problems #Pointwise State Constraints + Show 8 more

Abstract
Full-Text PDF
Similar Papers

Abstract

We investigate numerically a triquadratic $C^0$ interior penalty method for elliptic distributed optimal control problems in three dimensions with pointwise state constraints, which is based on the formulation of these problems as fourth order variational inequalities. We obtain numerical results that are similar to the ones reported in [7, 8] for fourth order variational inequalities in two dimensions. The deal.II library [1, 2] is used for the numerical experiments.

Full Text