求解Stokes问题的Mini混合有限元研究

ON MINI MIXED FINITE ELEMENTS FOR THE STOKES PROBLEM

虽已有多种方法将求解Ｓｔｏｋｅｓ问题的著名的Ｍｉｎｉ元从三角形元素推广到四边形元素，但相应的三维情形却仍缺乏研究．作者研究比较了几种已知的四边形Ｍｉｎｉ元以及相应的ＬＢＢ－稳定性判别准则。

Following the famous “Mini” element of ArnoldBrezziFortin,several LBBstable quadrilateral mixed finite elements for the Stokes problem had been proposed.A study of these proposed two dimensional elements and the corressponding LBBstability checking criteria leads us to a class of LBBstable simple continuous pressure hexahedral elements.The fundamental idea is to introduce “bubble” degrees of freedom into the velocity finite element space in order to obtain a LBBstable velocity/pressure combination.