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Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids

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Mathematical Modeling and Optimization of Complex Structures

Part of the book series: Computational Methods in Applied Sciences ((COMPUTMETHODS,volume 40))

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Abstract

The paper is concerned with fully guaranteed and computable bounds of errors generated by Uzawa type methods for variational problems in the theory of visco-plastic fluids. The respective estimates have two forms. The first form contains global constants (such as the constant in the Friedrichs inequality for the respective domain), and the second one is based upon decomposition of the domain into a collection of subdomains and uses local constants associated with subdomains.

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Authors and Affiliations

  1. Department of Mathematical Information Technology, University of Jyväskylä, P.O. Box 35, 40014, Jyväskylä, Finland

    Marjaana Nokka & Sergey Repin

  2. St. Petersburg State Polytechnical University, Polytechnicheskaya 29, St. Petersburg, Russia

    Sergey Repin

Authors
  1. Marjaana Nokka
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  2. Sergey Repin
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Correspondence to Marjaana Nokka .

Editor information

Editors and Affiliations

  1. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Pekka Neittaanmäki

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

    Sergey Repin

  3. Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland

    Tero Tuovinen

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Nokka, M., Repin, S. (2016). Error Estimates of Uzawa Iteration Method for a Class of Bingham Fluids. In: Neittaanmäki, P., Repin, S., Tuovinen, T. (eds) Mathematical Modeling and Optimization of Complex Structures. Computational Methods in Applied Sciences, vol 40. Springer, Cham. https://doi.org/10.1007/978-3-319-23564-6_3

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  • DOI: https://doi.org/10.1007/978-3-319-23564-6_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-23563-9

  • Online ISBN: 978-3-319-23564-6

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