Stability of a trilinear-trilinear approximation for the Stokes equations

Kamel Nafa*, Nouressadat Touafek

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةArticleمراجعة النظراء

1 اقتباس (Scopus)

ملخص

The choice of mixed finite element approximations for fluid flow problems is a compromise between accuracy and computational efficiency. Although a number of finite elements are found in the literature only few low-order approximations are stable. This is particularly true for three-dimensional flow problems. These elements are attractive because of their simplicity and efficiency, but can suffer though poor rate of convergence. In this paper the stability of a continuous trilinear-trilinear approximation is being analysed for general geometries. Using the macroelement technique, we prove the stability of the approximation. As a result, optimal rates of convergence are obtained for both the velocity and pressure approximations.

اللغة الأصليةEnglish
الصفحات (من إلى)325-332
عدد الصفحات8
دوريةCommunications in Numerical Methods in Engineering
مستوى الصوت19
رقم الإصدار5
المعرِّفات الرقمية للأشياء
حالة النشرPublished - مايو 2003

ASJC Scopus subject areas

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  • ???subjectarea.asjc.2200.2200???
  • ???subjectarea.asjc.1700.1703???
  • ???subjectarea.asjc.2600.2604???

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