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Iterative Solution Methods for Large-Scale Constrained Saddle-Point Problems

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Numerical Methods for Differential Equations, Optimization, and Technological Problems

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 27))

Abstract

Iterative solution methods for a class of finite-dimensional constrained saddle point problems are developed. These problems arise if variational inequalities and minimization problems are solved with the help of mixed finite element statements involving primal and dual variables. In the paper, we suggest several new approaches to the construction of saddle point problems and present convergence results for the iteration methods. Numerical results confirm the theoretical analysis.

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Author information

Authors and Affiliations

  1. University of Oulu, P.O. Box 3000, 90014, Oulu, Finland

    Erkki Laitinen

  2. Kazan Federal University, Kremljovskaja St., Kazan, 420008, Russia

    Alexander Lapin

Authors
  1. Erkki Laitinen
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  2. Alexander Lapin
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Corresponding author

Correspondence to Erkki Laitinen .

Editor information

Editors and Affiliations

  1. Mathematical Information Technology, University of Jyväskylä, Mattilanniemi 2, Jyväskylä, 40100, Finland

    Sergey Repin

  2. Mathematical Information Technology, University of Jyväskylä, Mattilanniemi 2, Jyväskylä, 40100, Finland

    Timo Tiihonen

  3. Mathematical Information Technology, University of Jyväskylä, Mattilanniemi 2, Jyväskylä, 40100, Finland

    Tero Tuovinen

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Laitinen, E., Lapin, A. (2013). Iterative Solution Methods for Large-Scale Constrained Saddle-Point Problems. In: Repin, S., Tiihonen, T., Tuovinen, T. (eds) Numerical Methods for Differential Equations, Optimization, and Technological Problems. Computational Methods in Applied Sciences, vol 27. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5288-7_2

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  • DOI: https://doi.org/10.1007/978-94-007-5288-7_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-007-5287-0

  • Online ISBN: 978-94-007-5288-7

  • eBook Packages: EngineeringEngineering (R0)

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