Analysis of the discontinuous Galerkin Interior Penalty Method with solenoidal approximations for the Stokes equations
Author (s): Montlaur, A. and Fernández-Méndez, S.Journal: International Journal of Numerical Analysis and Modeling
Volume: 11, Issue 4
Pages: 715 - 725
Date: 2014
Abstract:
The discontinuous Galerkin Interior Penalty Method with solenoidal approximations proposed in [Montlaur, 08] 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.
Bibtex:
@article{2014-IJNAM-MF,
Author = {Montlaur, A. and Fern{\'a}ndez-M{\'e}ndez, S.},
Title = {Analysis of the discontinuous Galerkin Interior Penalty Method with solenoidal approximations for the Stokes equations},
FJournal = {International Journal of Numerical Analysis & Modeling},
Journal ={ Int. J. Numer. Anal. Mod.},
Volume = {11},
Number = {4},
Pages = {715--725},
Year = {2014}}
