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Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey)

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Advances in Mathematical Sciences

Part of the book series: Association for Women in Mathematics Series ((AWMS,volume 21))

Abstract

Finite element methods for a model elliptic distributed optimal control problem with pointwise state constraints are considered from the perspective of fourth order boundary value problems.

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Acknowledgements

This paper is based on research supported by the National Science Foundation under Grant Nos. DMS-13-19172, DMS-16-20273 and DMS-19-13035.

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Authors and Affiliations

  1. Department of Mathematics and Center for Computation & Technology, Louisiana State University, Baton Rouge, LA, USA

    Susanne C. Brenner

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  1. Susanne C. Brenner
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Correspondence to Susanne C. Brenner .

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Editors and Affiliations

  1. Department of Mathematics, Northwestern University, Evanston, IL, USA

    Bahar Acu

  2. Department of Mathematics, Purdue University, West Lafayette, IN, USA

    Donatella Danielli

  3. Department of Mathematics, University of Pittsburgh, Pittsburgh, PA, USA

    Marta Lewicka

  4. Department of Mathematics, St. Thomas University, Houston, TX, USA

    Arati Pati

  5. Security and Privacy, Bosch Research and Technology Center, Pittsburgh, PA, USA

    Saraswathy RV

  6. Department of Mathematics, Lehigh University, Bethlehem, PA, USA

    Miranda Teboh-Ewungkem

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Brenner, S.C. (2020). Finite Element Methods for Elliptic Distributed Optimal Control Problems with Pointwise State Constraints (Survey). In: Acu, B., Danielli, D., Lewicka, M., Pati, A., Saraswathy RV, Teboh-Ewungkem, M. (eds) Advances in Mathematical Sciences. Association for Women in Mathematics Series, vol 21. Springer, Cham. https://doi.org/10.1007/978-3-030-42687-3_1

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