TY - JOUR ID - TI - The Error Analysis for Linearized Crank-Nicolson-Galerkin Method for Navier-Stokes Problem تحليل الخطأ لمسألة وافيير ستوكس بطريقة AU - Ala' N. Abdullah PY - 2017 VL - 16 IS - 32 SP - 187 EP - 201 JO - Misan Journal of Academic Studies مجلة ميسان للدراسات الاكاديمية SN - 1994697X 2706722X AB - In this paper, we studied the non-stationary incompressible Navier-Stokes problem in two-dimensional domain by using mixed finite element method. By using the Linearized Crank-Nicolson-Galerkin Method we found the weak form to the above problem which is then improved to the approximate solution. These estimates are then applied to obtain quasi-optimal error analysis in the energy norm for velocity, pressure and velocity with pressure.Keyword: Navier-Stokes problem, Mixed finite element method, Linearized Crank-Nicolson-Galerkin Method, Error analysis

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