DG Method for Stokes Problem with Variable Viscosity

Authors

  • Stefania Lo Forte

DOI:

https://doi.org/10.1685/

Abstract

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]

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Published

2007-10-01

Issue

Vol. 1 (2006)

Section

Articles

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