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Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow

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Numerical Methods and Applications (NMA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6046))

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Abstract

This paper is concerned with the numerical solution of nonstationary, nonlinear, convection-diffusion problems by the space-time discontinuous Galerkin finite element method (DGFEM) and applications to compressible flow. The first part is devoted to theoretical analysis of error estimates of the method. In the second part, this technique is applied to the numerical solution of compressible flow in time-dependent domains and the simulation of flow induced airfoil vibrations.

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References

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Physics, Charles University Prague, Sokolovská 83, 186 75, Praha 8, Czech Republic

    Miloslav Feistauer & Jan Česenek

Authors
  1. Miloslav Feistauer
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  2. Jan Česenek
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Editor information

Editors and Affiliations

  1. Institute of Computer and Communication Technologies, Bulgarian Academy of Sciences, Acad. G. Bonchev 25 A, 1113, Sofia, Bulgaria

    Ivan Dimov

  2. Faculty of Mathematics and Informatics, Department Numerical Methods and Algorithms, University of Sofia "St. Kliment Ohridski",, blvd. James Bourchier 5, 1164, Sofia, Bulgaria

    Stefka Dimova

  3. Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Acad. Bonchev St.,Bl.8, 1113, Sofia, Bulgaria

    Natalia Kolkovska

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Feistauer, M., Česenek, J. (2011). Space-Time Discontinuous Galerkin Finite Element Method for Convection-Diffusion Problems and Compressible Flow. In: Dimov, I., Dimova, S., Kolkovska, N. (eds) Numerical Methods and Applications. NMA 2010. Lecture Notes in Computer Science, vol 6046. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18466-6_1

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  • DOI: https://doi.org/10.1007/978-3-642-18466-6_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-18465-9

  • Online ISBN: 978-3-642-18466-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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