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Finite Element Approximation of an Elliptic Boundary Value Problem with Interface

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Book cover 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

For elliptic boundary value problem in domain with smooth curvilinear boundary and interface a finite element approximation is constructed. Convergence is proved in Sobolev like spaces \(\widetilde W_2^1\) and \(\widetilde L_2\).

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Author information

Authors and Affiliations

  1. Faculty of Mathematics, University of Belgrade, Studentski trg 16, 11000, Belgrade, Serbia

    Boško S. Jovanović

  2. Center of Applied Mathematics and Informatics, University of Rousse, Studentska str. 8, Rousse, 7017, Bulgaria

    Lubin G. Vulkov

Authors
  1. Boško S. Jovanović
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  2. Lubin G. Vulkov
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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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Jovanović, B.S., Vulkov, L.G. (2009). Finite Element Approximation of an Elliptic Boundary Value Problem with Interface. 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_6

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  • DOI: https://doi.org/10.1007/978-3-642-00464-3_6

  • 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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