Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations
Year: 2014
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 715–725
Abstract
The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [13] for the incompressible Stokes equations is analyzed. Continuity and coercivity of the bilinear form are proved. A priori error estimates, with optimal convergence rates, are derived. 2D and 3D numerical examples with known analytical solution corroborate the theoretical analysis.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2014-IJNAM-548
International Journal of Numerical Analysis and Modeling, Vol. 11 (2014), Iss. 4 : pp. 715–725
Published online: 2014-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Discontinuous Galerkin Stokes equations incompressible flow divergence-free Interior Penalty Method error bounds.