A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

Susanne C. Brenner; Li-yeng Sung; Zhiyu Tan

Results in Applied Mathematics (Aug 2020)

A cubic C0 interior penalty method for elliptic distributed optimal control problems with pointwise state and control constraints

Susanne C. Brenner,
Li-yeng Sung,
Zhiyu Tan

Affiliations

Susanne C. Brenner: Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, United States of America; Corresponding author.
Li-yeng Sung: Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, United States of America
Zhiyu Tan: Center for Computation & Technology, Louisiana State University, Baton Rouge, LA 70803, United States of America

Journal volume & issue: Vol. 7
p. 100119

Abstract

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We design and analyze a cubic C0interior penalty method for linear–quadratic elliptic distributed optimal control problems with pointwise state and control constraints. Numerical results that corroborate the theoretical error estimates are also presented.

Published in Results in Applied Mathematics

ISSN: 2590-0374 (Online)
Publisher: Elsevier
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: https://www.journals.elsevier.com/results-in-applied-mathematics/

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