In this Note we propose and study a three field mixed formulation for solving the Stokes problem with Tresca-type nonlinear boundary conditions. Two Lagrange multipliers are used to enforce constraint and to regularize the energy functional. The resulting problem is discretized using P1 bubble/P1-P1 finite elements. Optimal error estimate is derived and a numerical validation test is achieved.
Dans cette note, nous proposons une formulation mixte à trois champs pour résoudre le problème de Stokes avec des conditions aux limites non-linéaires, du type Tresca. Deux multiplicateurs de Lagrange sont utilisés afin d'imposer et de régulariser la fonctionnelle énergie. Le problème résultant est approché à l'aide des éléments finis P1 bulle/P1-P1. Une estimation optimale est obtenue et un test numérique de validation est réalisé.
Accepted:
Published online:
Mekki Ayadi 1; Mohamed Khaled Gdoura 1, 2; Taoufik Sassi 2
@article{CRMATH_2010__348_19-20_1069_0, author = {Mekki Ayadi and Mohamed Khaled Gdoura and Taoufik Sassi}, title = {Mixed formulation for {Stokes} problem with {Tresca} friction}, journal = {Comptes Rendus. Math\'ematique}, pages = {1069--1072}, publisher = {Elsevier}, volume = {348}, number = {19-20}, year = {2010}, doi = {10.1016/j.crma.2010.10.001}, language = {en}, }
TY - JOUR AU - Mekki Ayadi AU - Mohamed Khaled Gdoura AU - Taoufik Sassi TI - Mixed formulation for Stokes problem with Tresca friction JO - Comptes Rendus. Mathématique PY - 2010 SP - 1069 EP - 1072 VL - 348 IS - 19-20 PB - Elsevier DO - 10.1016/j.crma.2010.10.001 LA - en ID - CRMATH_2010__348_19-20_1069_0 ER -
Mekki Ayadi; Mohamed Khaled Gdoura; Taoufik Sassi. Mixed formulation for Stokes problem with Tresca friction. Comptes Rendus. Mathématique, Volume 348 (2010) no. 19-20, pp. 1069-1072. doi : 10.1016/j.crma.2010.10.001. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.10.001/
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