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 الأصلية | English |
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الصفحات (من إلى) | 325-332 |
عدد الصفحات | 8 |
دورية | Communications in Numerical Methods in Engineering |
مستوى الصوت | 19 |
رقم الإصدار | 5 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | Published - مايو 2003 |
ASJC Scopus subject areas
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