Name
Title | ||
|---|---|---|
Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations |
Abstract | ||
|---|---|---|
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Bernoulli pressure. The unique solvability of the continuous problem is addressed by invoking a global inf-sup property in an adequate abstract setting for non-symmetric systems. The proposed finite element schemes, which produce exactly divergence-free discrete velocities, are shown to be well-defined and optimal convergence rates are derived in suitable norms. This mixed finite element method is also pressure-robust. In addition, we establish optimal rates of convergence for a class of discontinuous Galerkin schemes, which employ stabilisation. A set of numerical examples serves to illustrate salient features of these methods. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10915-019-00990-7 | Journal of Scientific Computing |
Keywords | Field | DocType |
Oseen equations, Vorticity-based formulation, Mixed finite elements, Exactly divergence-free velocity, Discontinuous Galerkin schemes, Numerical fluxes, A priori error bounds, 65N30, 65N12, 76D07, 65N15 | Discontinuous Galerkin method,Convergence (routing),Oseen equations,Vorticity,Mathematical analysis,Finite element method,Mathematics,Salient,Bernoulli's principle,Dynamic pressure | Journal |
Volume | Issue | ISSN |
80 | 3 | 0885-7474 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
7 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Verónica Anaya | 1 | 6 | 2.63 |
| Afaf Bouharguane | 2 | 1 | 0.75 |
| David Mora | 3 | 34 | 8.92 |
| Carlos Reales | 4 | 2 | 1.46 |
| Ricardo Ruiz-Baier | 5 | 77 | 13.60 |
| Nour Seloula | 6 | 0 | 0.34 |
| Héctor Torres | 7 | 16 | 1.95 |