DG Method for Stokes Problem with Variable Viscosity
Abstract
We study the stationary Stokes problem with varying viscosity in
. 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
. 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
space.
The error estimates are obtained with a mesh dependent norm
for the velocity and an
norm for the pressure.
[DOI: 10.1685 / CSC06104] About Doi
Full Text:
Except where otherwise noted, content on this site is
licensed under a Creative Commons 2.5 Italy License
. We propose and analyze a discontinuous Galerkinmethod 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
. Thus, we have toresort 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
space. The error estimates are obtained with a mesh dependent norm
for the velocity and an
norm for the pressure.[DOI: 10.1685 / CSC06104] About Doi
Full Text:
Except where otherwise noted, content on this site is licensed under a Creative Commons 2.5 Italy License