Details

Autor(en) / Beteiligte

• Igreja, Iury
• Loula, Abimael F. D.

Titel

Stabilized velocity and pressure mixed hybrid DGFEM for the stokes problem

Ist Teil von

• International journal for numerical methods in engineering, 2017-11, Vol.112 (7), p.603-628

Ort / Verlag

Bognor Regis: Wiley Subscription Services, Inc

Erscheinungsjahr

2017

Quelle

Wiley-Blackwell Journals

Beschreibungen/Notizen

• Summary We propose mixed hybrid Discontinuous Galerkin Finite Element (DGFEM) formulations for the Stokes problem characterized by the introduction of Lagrange multipliers associated with the traces of the velocity and pressure fields on the edges of the elements to weakly impose the transmission conditions. Both velocity and pressure multipliers are stabilized and, as a consequence of these stabilizations, we prove existence and uniqueness of solution for the local problems. All velocity and pressure degrees‐of‐freedom can be eliminated at the element level by static condensation leading to a global problem in the multipliers only. The proposed methodology is able to recover stability of very convenient choices of finite element spaces, such as those adopting equal order polynomial approximations for all fields. Numerical experiments illustrate the flexibility and robustness of the proposed formulations and show optimal rates of convergence. Copyright © 2017 John Wiley & Sons, Ltd.