Local projection stabilized Galerkin approximations for the generalized Stokes problem

Kamel Nafa*, Andrew J. Wathen

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

13 الاقتباسات (SciVal)

ملخص

We analyze pressure stabilized finite element methods for the solution of the generalized Stokes problem and investigate their stability and convergence properties. An important feature of the method is that the pressure gradient unknowns can be eliminated locally thus leading to a decoupled system of equations. Although stability of the method has been established, for the homogeneous Stokes equations, the proof given here is based on the existence of a special interpolant with additional orthogonal property with respect to the projection space. This, makes it a lot simpler and more attractive. The resulting stabilized method is shown to lead to optimal rates of convergence for both velocity and pressure approximations.

اللغة الأصليةEnglish
الصفحات (من إلى)877-883
عدد الصفحات7
دوريةComputer Methods in Applied Mechanics and Engineering
مستوى الصوت198
رقم الإصدار5-8
المعرِّفات الرقمية للأشياء
حالة النشرPublished - يناير 15 2009

ASJC Scopus subject areas

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