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Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients

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Numerical Analysis and Its Applications (NAA 2004)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3401))

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Abstract

General elliptic interface problem with variable coefficients and curvilinear interface is transformed into analogous problem with rectilinear interface. For the numerical solution of transformed problem a finite difference scheme with averaged right–hand side is proposed. Convergence rate estimate in discrete W 2 1 norm, compatible with the smoothness of data, is obtained.

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Author information

Authors and Affiliations

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

    Boško S. Jovanović

  2. Department of Mathematics, University of Rousse, Studentska str. 8, 7017, Rousse, 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. Department of Land Surveying and Geo-Informatics, The Hong Kong Polytechnic University, Kowloon, P.O. Box, Hong Kong

    Zhilin Li

  2. Department of Mathematics, University of Rousse, 7017, Rousse, Bulgaria

    Lubin Vulkov

  3. Informatics & Mathematical Modeling, Technical University of Denmark, DK-2800, Lyngby, Denmark

    Jerzy Waśniewski

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© 2005 Springer-Verlag Berlin Heidelberg

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Jovanović, B.S., Vulkov, L.G. (2005). Finite Difference Approximation of an Elliptic Interface Problem with Variable Coefficients. In: Li, Z., Vulkov, L., Waśniewski, J. (eds) Numerical Analysis and Its Applications. NAA 2004. Lecture Notes in Computer Science, vol 3401. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-31852-1_5

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  • DOI: https://doi.org/10.1007/978-3-540-31852-1_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-24937-5

  • Online ISBN: 978-3-540-31852-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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