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Parallel Processing and Applied Mathematics pp 391–400Cite as

Discretization of the Drift-Diffusion Equations with the Composite Discontinuous Galerkin Method

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9574))

Abstract

We present three variants of discretization of the stationary van Roosbroeck equations. They are the Composite Discontinuous Galerkin Methods, in standard symmetric/non-symmetric version, and the Weakly Over-Penalized Symmetric Interior Penalty method.

Numerical simulations of gallium nitride semiconductor devices are presented. Results of these simulations serve as a base to perform the convergence analysis of the presented methods. Errors of approximations obtained with these methods are compared with each other.

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Acknowledgements

The research was funded by Polish National Science Center on the basis of the decision DEC-2011/03/D/ST3/02071.

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Authors and Affiliations

  1. Institute of High Pressure Physics, Polish Academy of Sciences, ul. Sokolowska 29/37, 01-142, Warsaw, Poland

    Konrad Sakowski, Pawel Strak, Pawel Kempisty & Stanislaw Krukowski

  2. Faculty of Mathematics, University of Warsaw, Banacha 2, 02-097, Warsaw, Poland

    Konrad Sakowski & Leszek Marcinkowski

  3. Interdisciplinary Centre for Mathematical and Computational Modelling, Warsaw University, ul. Pawinskiego 5a, 02-106, Warsaw, Poland

    Stanislaw Krukowski

Authors
  1. Konrad Sakowski
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  2. Leszek Marcinkowski
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  3. Pawel Strak
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  4. Pawel Kempisty
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  5. Stanislaw Krukowski
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Corresponding author

Correspondence to Konrad Sakowski .

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Editors and Affiliations

  1. Czestochowa University of Technolog, Czestochowa, Poland

    Roman Wyrzykowski

  2. Department of Computer Science, University of Southern California, Marina Del Rey, California, USA

    Ewa Deelman

  3. Electrical Engineering & Comput. Science, University of Tennessee, Knoxville, Tennessee, USA

    Jack Dongarra

  4. Czestochowa University of Technology, Institute of Computer & Information Sci., Czestochowa, Poland

    Konrad Karczewski

  5. Department of Computer Science, AGH University of Science and Technology, Krakow, Poland

    Jacek Kitowski

  6. Systèmes d’informations, Big Data et Rec, AGH University of Science and Technology, Krakow, Poland

    Kazimierz Wiatr

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Sakowski, K., Marcinkowski, L., Strak, P., Kempisty, P., Krukowski, S. (2016). Discretization of the Drift-Diffusion Equations with the Composite Discontinuous Galerkin Method. In: Wyrzykowski, R., Deelman, E., Dongarra, J., Karczewski, K., Kitowski, J., Wiatr, K. (eds) Parallel Processing and Applied Mathematics. Lecture Notes in Computer Science(), vol 9574. Springer, Cham. https://doi.org/10.1007/978-3-319-32152-3_37

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  • DOI: https://doi.org/10.1007/978-3-319-32152-3_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-32151-6

  • Online ISBN: 978-3-319-32152-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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