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hp-adaptive discontinuous Galerkin methods for non-stationary convection-diffusion problems.

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اقرأ أكثر حفظ في قائمتي
  • المؤلفون: Cangiani, A.; Georgoulis, E. H.; Giani, S.; Metcalfe, S.
  • المصدر:
    Computers and mathematics with applications. , 2019, Vol.78(9), pp.3090-3104 [Peer Reviewed Journal]
  • نوع التسجيلة:
    article in journal/newspaper
  • اللغة:
    unknown
  • معلومة اضافية
    • بيانات النشر:
      Elsevier
    • الموضوع:
      2019
    • Collection:
      Durham University: Durham Research Online
    • نبذة مختصرة :
      An a posteriori error estimator for the error in the (L2(H1)+L1(L2))-type norm for an interior penalty discontinuous Galerkin (dG) spatial discretisation and backward Euler temporal discretisation of linear non-stationary convection-diusion initial/boundary value problems is derived, allowing for anisotropic elements. The proposed error estimator is used to drive an hp-space-time adaptive algorithm wherein directional mesh renement is employed to give rise to highly anisotropic elements able to accurately capture layers. The performance of the hp-space-time adaptive algorithm is assessed via a number of standard test problems characterised by sharp and/or moving layers.
    • File Description:
      application/pdf
    • ISSN:
      0898-1221
    • Relation:
      dro:27860; http://dro.dur.ac.uk/27860/; https://doi.org/10.1016/j.camwa.2019.04.002; http://dro.dur.ac.uk/27860/1/27860.pdf
    • الرقم المعرف:
      10.1016/j.camwa.2019.04.002
    • Rights:
      © 2019 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
    • الرقم المعرف:
      edsbas.AABA58AC