TY - JOUR
T1 - Analysis of the Discontinuous Galerkin Interior Penalty Method with Solenoidal Approximations for the Stokes Equations
AU - A. Montlaur & S. Fernandez-Mendez
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 715
EP - 725
PY - 2014
DA - 2014/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/548.html
KW - Discontinuous Galerkin, Stokes equations, incompressible flow, divergence-free, Interior Penalty Method, error bounds.
AB - <p style="text-align: justify;">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.</p>