کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6423184 1632167 2016 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
A projection-based variational multiscale method for the optimal control problems governed by the stationary Navier-Stokes equations
چکیده انگلیسی

In this work, we apply a variational multiscale stabilization (VMS) to the optimal control problems of Navier-Stokes equations. We first obtain the optimality conditions by using Lagrange approach. After stating the continuous optimality system, we formulate the discrete problem by a projection-based stabilized finite element scheme. We give the stability estimates for both state and adjoint state variables. Then, we present the a priori error analysis. The main issue of this paper is to show the efficiency of the variational multiscale stabilization for this optimal control problem. We verify our results by numerical examples.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 106, August 2016, Pages 116-128
نویسندگان
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