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| 1 | On the error bounds of nonconforming finite elements显示文摘We prove that the error estimates of a large class of nonconforming finite elements are dominated by their approximation errors, which means that the well-known Cea's lemma is still valid for these nonconforming finite element methods. Furthermore, we derive the error estimates in both energy and L2 norms under the regularity assumption u ∈ H1+s(Ω) with any s > 0. The extensions to other related problems are possible. | MAO ShiPeng SHI ZhongCi | 2010 | Science China Mathematics2010，53，11： | 6 |
| 2 | EXPLICIT ERROR ESTIMATE FOR THE NONCONFORMING WILSON'S ELEMENT显示文摘In this article, we study the explicit expressions of the constants in the error estimate of the nonconforming finite element method. We explicitly obtain the approximation error estimate and the consistency error estimate for the Wilson's element without the regular assumption, respectively, which implies the final finite element error estimate. Such explicit a priori error estimates can be used as computable error bounds. | 赵纪坤 陈绍春 | 2013 | Acta Mathematica Scientia2013，33，3： | 3 |
| 3 | 椭圆问题的非协调Carey元逼近的误差估计中常数的精细估计(英文)显示文摘本文主要研究在各向异性网格下非协调三角形Carey元逼近二阶椭圆问题,在抛弃传统有限元分析的必要工具Ritz投影算子的前提下,直接利用单元的插值性质,导出L2-模和H1-模意义下的最优阶误差估计中常数的精细估计.最后,给出一些数值结果验证了理论分析的正确性. | 张亚东 石东洋 | 2013 | 应用数学2013，26，4： | 1 |
| 4 | EXPLICIT ERROR ESTIMATES FOR COURANT, CROUZEIX-RAVIART AND RAVIART-THOMAS FINITE ELEMENT METHODS显示文摘这份报纸的基本分析介绍常数的明确的表情在一个 priori 错误为混合的低顺序的报纸, Crouzeix-Raviart nonconforming 和 Raviart-Thomas 估计在泊松的有限元素方法当模特儿问题。在三角测量的某最大的角度上的三个常数和他们的依赖是确实全可比较并且允许精确 priori 错误控制。 | Carsten Carstensen Joscha Gedicke Donsub Rim | 2012 | Journal of Computational Mathematics2012，30，4： | 1 |
| 5 | ESTIMATIONS OF THE CONSTANTS IN INVERSE INEQUALITIES FOR FINITE ELEMENT FUNCTIONS显示文摘在这份报纸,我们为有限元素功能在反的不平等估计常数。而且,我们为低顺序的有限元素功能在反的不平等获得常数的最不上面的界限。常数的如此的明确的估计能为有限元素方法被用作可计算出来的错误界限。[从作者抽象] | Shaochun Chen Jikun Zhao | 2013 | Journal of Computational Mathematics2013，31，5： | 0 |
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