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Simultaneous Space-Time Finite Element Methods for Parabolic Optimal Control Problems

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Large-Scale Scientific Computing (LSSC 2021)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 13127))

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Abstract

This work presents, analyzes and tests stabilized space-time finite element methods on fully unstructured simplicial space-time meshes for the numerical solution of space-time tracking parabolic optimal control problems with the standard \(L_2\)-regularization.

Supported by the Austrian Science Fund under the grant W1214, project DK4.

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References

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Author information

Authors and Affiliations

  1. Institute for Computational Mathematics, Johannes Kepler University Linz, Altenbergerstr. 69, 4040, Linz, Austria

    Ulrich Langer

  2. Doctoral Program “Computational Mathematics”, Johannes Kepler University Linz, Altenbergerstr. 69, 4040, Linz, Austria

    Andreas Schafelner

Authors
  1. Ulrich Langer
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  2. Andreas Schafelner
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Corresponding author

Correspondence to Ulrich Langer .

Editor information

Editors and Affiliations

  1. IICT-BAS, Sofia, Bulgaria

    Ivan Lirkov

  2. IICT-BAS, Sofia, Bulgaria

    Svetozar Margenov

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Langer, U., Schafelner, A. (2022). Simultaneous Space-Time Finite Element Methods for Parabolic Optimal Control Problems. In: Lirkov, I., Margenov, S. (eds) Large-Scale Scientific Computing. LSSC 2021. Lecture Notes in Computer Science, vol 13127. Springer, Cham. https://doi.org/10.1007/978-3-030-97549-4_36

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  • DOI: https://doi.org/10.1007/978-3-030-97549-4_36

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-97548-7

  • Online ISBN: 978-3-030-97549-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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