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