DG Method for Stokes Problem with Variable Viscosity

Auteurs

  • Stefania Lo Forte

DOI :

https://doi.org/10.1685/

Résumé

We study the stationary Stokes problem with varying viscosity in M14_Loforte0.png. We propose and analyze a discontinuous Galerkin method on a 1-irregular, shape-regular triangulation. We prove the continuity of the elliptic term in the finite element space. However, due to the presence of non constant coefficients, we are not able to show the continuity in M14_Loforte1.png. Thus, we have to resort to new techniques to show convergence. We prove that error bounds can be derived using the continuity of the elliptic form in the finite element space and in the piecewise M14_Loforte2.png space. The error estimates are obtained with a mesh dependent norm for the velocity and an M14_Loforte3.png norm for the pressure. [DOI: 10.1685 / CSC06104]

Téléchargements

Publiée

2007-10-01

Numéro

Vol. 1 (2006)

Rubrique

Articles

Licence

Authors who submit to this journal agree to the following terms: a) Authors retain copyright over their work, while allowing the SIMAI to place this accepted work under a Creative Commons Attribution License (CC license), which allows others to freely access, use, and share the work, with an acknowledgement of the work's authorship. b) Authors are able to waive the terms of the CC license and enter into separate, additional contractual arrangements for the non-exclusive distribution and subsequent publication of this work (e.g., publish a revised version in a journal, post it to an institutional repository or publish it in a book). with an acknowledgement of its initial publication on “Communications to SIMAI Congress”. c) In addition, authors are encouraged to post and share their work online (e.g., in institutional repositories or on their website).