ANALYSIS OF THE DISCONTINUOUS GALERKIN INTERIOR PENALTY METHOD WITH SOLENOIDAL APPROXIMATIONS FOR THE STOKES EQUATIONS

作者：Montlaur Adeline^*; Fernandez Mendez Sonia

来源：International Journal of Numerical Analysis and Modeling, 2014, 11(4): 715-725.

• Discontinuous Galerkin
• Stokes equations
• incompressible flow
• divergence-free
• Interior Penalty Method
• error bounds

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.

• 出版日期2014-12