Analysis of the discontinuous Galerkin interior penalty method with solenoidal approximations for the stokes equations
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 numerica...
| Authors: | , |
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| Format: | article |
| Publication Date: | 2014 |
| Country: | España |
| Institution: | Universitat Politècnica de Catalunya (UPC) |
| Repository: | UPCommons. Portal del coneixement obert de la UPC |
| Language: | English |
| OAI Identifier: | oai:upcommons.upc.edu:2117/28048 |
| Online Access: | https://hdl.handle.net/2117/28048 |
| Access Level: | Open access |
| Keyword: | Galerkin methods Stokes equations Discontinuous Galerkin Divergence-free Error bounds Incompressible flow Interior penalty method Equacions de Navier-Stokes Elements finits, Mètode dels Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
| Summary: | 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. |
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