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On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes

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Numerical Analysis and Its Applications (NAA 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5434))

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Abstract

In this work we discuss weakening requirements on the set of sufficient conditions due to Ph. Ciarlet [4,5] for matrices associated to linear finite element schemes, which is commonly used for proving validity of discrete maximum principles (DMPs) for the second order elliptic problems.

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Author information

Authors and Affiliations

  1. Institute of Mathematics, Helsinki University of Technology, P.O. Box 1100, FIN–02015, Espoo, Finland

    Antti Hannukainen & Sergey Korotov

  2. Institute of Mathematics, Czech Academy of Sciences, Žitná 25, CZ–115 67, Prague 1, Czech Republic

    Tomáš Vejchodský

Authors
  1. Antti Hannukainen
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  2. Sergey Korotov
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  3. Tomáš Vejchodský
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Editor information

Editors and Affiliations

  1. Institute for Parallel Processing, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Bl. 25-A, 1113, Sofia, Bulgaria

    Svetozar Margenov

  2. FNSE, Department of Numerical Methods and Statistics, University of Rousse, 8 Studentska str., 7017, Rousse, Bulgaria

    Lubin G. Vulkov

  3. Department of Informatics and Mathematical Modelling, Technical University of Denmark, 2800, Kongens, Lyngby, Denmark

    Jerzy Waśniewski

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Hannukainen, A., Korotov, S., Vejchodský, T. (2009). On Weakening Conditions for Discrete Maximum Principles for Linear Finite Element Schemes. In: Margenov, S., Vulkov, L.G., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2008. Lecture Notes in Computer Science, vol 5434. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-00464-3_32

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_32

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-00463-6

  • Online ISBN: 978-3-642-00464-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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