raviart 中文意思是什麼
raviart
解釋
拉維亞爾特-
Rectangular crouzeix - raviart anisotropic finite element method for nonstationary stokes problem with moving grids
型各向異性非協調元變網格方法 -
As is guessed, crouziex - raviart element gives lower - bound approximation with second order precision and further extrapolation reaches fourth order precision
而crouziex - raviart非協調元則如預測，給出下逼近，具有2階精度，外推可以獲得4階精度。 -
For nonstationary stokes problem, materials ' anisotropic character should be considered in a boundary layer or near the angular of the domain fj. at this time, the subdivision to region q is not of regularity or quasi - uniform and should be anisotropic grid, which can describle the facts exactly. crouzeix - raviart element and rotary q4 element are failed in anisotropic grid and many others either ca n ' t satisfy the anisotropic property or ca n ' t be used to the moving grid finite element method. it ' s proved that five nodals element presented by professor houde han can overcome this shortcoming
常用crouzeix - raviart元和旋轉q _ 4元由於不能滿足各向異性插值特徵而失去效用。而其它許多單元或是不滿足各向異性插值特徵或是尚不能直接應用於stokes方程變網格有限元。經本文證明由韓厚德教授提出的五節點單元很好地解決了這一矛盾，這些結論以前是沒有人作過的。 -
Furthermore, we also devise numerical experiments for crouziex - raviart element, which has not theoretical estimation yet
本文還對尚未得到理論結果的crouziex - raviart有限元進行了數值實驗。 -
First, we present the equivalent variatial formulations of the least - squares mixed method and prove the existence and uniques for the weak problems. on the basis of l2 - projections and raviart - thomas projections, we obtain the superconvergence of the least - squares mixed finite element approx - imations on uniform triangulations, where triangular mixed finite elements of the lowest order raviart - thomas spaces are used to approximate the flux p. in the second chapter, we briefly recall the standard and mixed finite methods for second order elliptic problems, and introduce a modified least - squares mixed method
作者首先導出了最小二乘混合元方法的等價變分形式，並且證明了變分問題廣義解的存在唯一性；在此基礎上，我們採用強一致三角形剖分，選取最低階的raviar - thomas空間對未知函數的通量進行逼近，利用l ~ 2投影和raviart - thomas投影，得到了插值投影和最小二乘混合元解之間的超收斂結果。
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