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本文首先将证明矩形剖分单元上的Ｌｏｂａｔｔｏ点,Ｇａｕｓｓ点和拟Ｌｏｂａｔｔｏ点分别是二维投影型插值算子函数,梯度和二阶导数的逼近佳点;然后考虑了二阶椭圆边值问题的有限元近似．通过建立投影型插值算子各种形式的超收敛基本估计,证明了投影型插值算子的各类... 相似文献
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1 IntroductionRecently, considerable attention has been devoted to the finite element analysis fOr par-tiaJ illtegro-differential equations, see, fOr example, Yanik and Ftweatherl1], Cannon andLin[2'3] 5 Chen and Shih[4], Lin, Thomee and Wahlbi.I5l ? Thomee and Zhang[6] and ZhangI7j8J.The main tool used for this kind of equations is the mtz-Voterra projection [5'7] as againstttitz projection fOr parabolic equation. In this paPer, we are concerned primarily with theanalysis of knot supe… 相似文献