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P1 finite element methods for a weighted elliptic state-constrained optimal control problem

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Abstract

We investigate a P1 finite element method for a two-dimensional weighted optimal control problem arising from a three-dimensional (3D) axisymmetric elliptic state-constrained optimal control problem with Dirichlet boundary conditions.

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Acknowledgments

The authors would like to thank Susanne Brenner for providing the opportunity and support to visit Center for Computation and Technology at Louisiana State University to work on this project.

Funding

The work of the first author was partially supported by NSF grant number DM.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, James Madison University, Harrisonburg, USA

    Minah Oh

  2. Department of Mathematics, Trinity College, Hartford, USA

    Lina Ma

  3. Department of Mathematics and Statistics, University of North Florida, Jacksonville, USA

    Kening Wang

Authors
  1. Minah Oh
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  2. Lina Ma
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  3. Kening Wang
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Correspondence to Minah Oh.

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Oh, M., Ma, L. & Wang, K. P1 finite element methods for a weighted elliptic state-constrained optimal control problem. Numer Algor 87, 1–17 (2021). https://doi.org/10.1007/s11075-020-00955-0

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