کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
470127 698398 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A least-squares/penalty method for distributed optimal control problems for Stokes equations
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
A least-squares/penalty method for distributed optimal control problems for Stokes equations
چکیده انگلیسی

The purpose of this paper is to construct an unconstrained optimal control problem by using a least-squares approach for the constrained distributed optimal control problem associated with incompressible Stokes equations. The constrained equations are reformulated to the equivalent first-order system by introducing vorticity, and then the least-squares functional corresponding to the system is enforced via a penalty term to the objective functional. The existence of a solution of the unconstrained optimal control problem is proved, and the convergence of this solution to that of unpenalized one is demonstrated as the penalty parameter tends to zero. Finite element approximations with error estimates are studied, and the relevant computational experiments are presented.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 53, Issue 11, June 2007, Pages 1672–1685
نویسندگان
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