Mixed hp-DGFEM for Incompressible Flows
We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete...
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| Veröffentlicht in: | SIAM journal on numerical analysis 2003-01, Vol.40 (6), p.2171-2194 |
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| container_title | SIAM journal on numerical analysis |
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| creator | Schötzau, Dominik Schwab, Christoph Toselli, Andrea |
| description | We consider several mixed discontinuous Galerkin approximations of the Stokes problem and propose an abstract framework for their analysis. Using this framework, we derive a priori error estimates for hp-approximations on tensor product meshes. We also prove a new stability estimate for the discrete divergence bilinear form. |
| doi_str_mv | 10.1137/S0036142901399124 |
| format | Article |
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| ispartof | SIAM journal on numerical analysis, 2003-01, Vol.40 (6), p.2171-2194 |
| issn | 0036-1429 1095-7170 |
| language | eng |
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| source | SIAM Journals Online; JSTOR Mathematics & Statistics; JSTOR Archive Collection A-Z Listing |
| subjects | A priori knowledge Approximation Conformity Degrees of polynomials Estimates Estimation methods Exact sciences and technology Finite element method Galerkin methods Mathematical analysis Mathematical discontinuity Mathematics Navier Stokes equation Navier-Stokes equations Numerical analysis Numerical analysis. Scientific computation Partial differential equations Partial differential equations, boundary value problems Polynomials Sciences and techniques of general use Velocity |
| title | Mixed hp-DGFEM for Incompressible Flows |
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