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Immersed-Boundary Level Set Approach for Numerical Solution of Elliptic Interface Problems

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Book cover Large-Scale Scientific Computing (LSSC 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2907))

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Abstract

In this paper we consider elliptic problems with variable discontinuous coefficients and interface jump conditions, in which the solution is continuous, but the jump of the flux depends on the solution. A new numerical method, based on immersed-boundary approach combined with level set method, is developed. Using regular grids it is robust and easy to implement for curvelinear interface problems. Numerical experiments are presented.

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Author information

Authors and Affiliations

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

    Juri D. Kandilarov

Authors
  1. Juri D. Kandilarov
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Editor information

Editors and Affiliations

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

    Ivan Lirkov

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

    Svetozar Margenov

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

    Jerzy Waśniewski

  4. Center of Applied Mathematics and Informatics, University of Rousse, 7017, Rousse, Bulgaria

    Plamen Yalamov

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© 2004 Springer-Verlag Berlin Heidelberg

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Kandilarov, J.D. (2004). Immersed-Boundary Level Set Approach for Numerical Solution of Elliptic Interface Problems. In: Lirkov, I., Margenov, S., Waśniewski, J., Yalamov, P. (eds) Large-Scale Scientific Computing. LSSC 2003. Lecture Notes in Computer Science, vol 2907. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-24588-9_52

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  • DOI: https://doi.org/10.1007/978-3-540-24588-9_52

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-21090-0

  • Online ISBN: 978-3-540-24588-9

  • eBook Packages: Springer Book Archive

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