Jaouad El-Mekkaoui, Ahmed Elkhalfi, Abdeslam Elakkad, "Resolution of Stokes Equations with the Ca,b Boundary Condition Using Mixed Finite Element Method," WSEAS Transactions on Mathematics, vol. 12, pp. -, 2013, DOI:
Jaouad El-Mekkaoui, Ahmed Elkhalfi, Abdeslam Elakkad. Resolution of Stokes Equations with the Ca,b Boundary Condition Using Mixed Finite Element Method.
WSEAS Transactions on Mathematics. 2013;12:-.
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
Resolution of Stokes Equations with the Ca,b Boundary Condition Using Mixed Finite Element Method
Authors: , ,
Abstract: In this paper, we introduce the Stokes equations with a new boundary condition. In this context, we show the existence and uniqueness of the solution of the weak formulation associated with the proposed problem. To solve this problem, we use the discretization by mixed finite element method. In addition, two types of a posteriori error indicator are introduced and are shown to give global error estimates that are equivalent to the true error. In order to evaluate the performance of the method, the numerical results are compared with some previously published works and with others coming from commercial code like ADINA system.
Keywords:
Stokes equations, Ca, b Boundary condition, Mixed finite element method, Residual error estimator, Adina system
Pages: - WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 12, 2013DOI: *As the DOI is a unique identifier, it is already available in the pdf version.
**The DOI link will be activated in the first midst of January 2026.
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