Discretization of the drift-diffusion equations with the composite discontinuous Galerkin method

Konrad Sakowski, Leszek Marcinkowski, Pawel Strak, Pawel Kempisty, Stanislaw Krukowski

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

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.

Original languageEnglish
Title of host publicationParallel Processing and Applied Mathematics - 11th International Conference, PPAM 2015, Revised Selected Papers
EditorsKazimierz Wiatr, Konrad Karczewski, Roman Wyrzykowski, Ewa Deelman, Jacek Kitowski, Jack Dongarra
PublisherSpringer Verlag
Pages391-400
Number of pages10
ISBN (Print)9783319321516
DOIs
Publication statusPublished - Jan 1 2016
Externally publishedYes
Event11th International Conference on Parallel Processing and Applied Mathematics, PPAM 2015 - Krakow, Poland
Duration: Sep 6 2015Sep 9 2015

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume9574
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

Conference11th International Conference on Parallel Processing and Applied Mathematics, PPAM 2015
CountryPoland
CityKrakow
Period9/6/159/9/15

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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