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| 1 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT METHOD FOR APPROXIMATING A CLASS OF NONLINEAR SOBOLEV EQUATIONS显示文摘各向异性的 nonconforming 有限元素方法为非线性的 Sobolev 方程的一个班被介绍。最佳的错误估计和 supercloseness 为半分离、充分分离的近似计划被获得,它与传统的有限元素方法一样。另外,全球 superconvergence 通过 postprocessing 技术被导出。数字实验被包括说明建议方法的可行性。[从作者抽象] | Dongyang Shi Haihong Wang Yuepeng Du | 2009 | Journal of Computational Mathematics2009，27，2： | 49 |
| 2 | THE SUPERCONVERGENCE ANALYSIS OF AN ANISOTROPIC FINITE ELEMENT显示文摘这篇论文在各向异性的矩形的网孔的班上处理双线性的有限元素的高精确性分析。各向异性的网孔上的反的不平等被建立。超级结束和超级集中被获得因为第二订椭圆形的问题。数字测试被给,它与我们的理论分析与一致。 | SHI Dongyang ZHU Huiqing | 2005 | Journal of Systems Science & Complexity2005，18，4： | 32 |
| 3 | Stage-progressive distribution pattern of the Lungmachi black graptolitic shales from Guizhou to Chongqing, Central China显示文摘The Lungmachi Formation is widely distributed in Guizhou, Chongqing and the adjacent area. It is important for the study of Silurian biostratigraphy and shale-gas investigation. Based on those biostratigraphically well-studied sections from Guiyang to Huayingshan, we reveal the stage-progressive distribution pattern of the Lungmachi black shales. The distribution of the Lungmachi black shales in the studying area can be subdivided into four geographic belts from the south to the north,reflecting the joint effect of regional and global environmental changes. The graptolite depth zonation model was adopted herein to infer the water depth of major graptolite assemblages from the black shales. The changes in the water depth indicate two major stages. The first stage is named the transgressive distribution stage which ranged from the Persculptograptus persculptus Biozone(LM1, upper Hirnantian) to the Coronograptus cyphus Biozone(LM5, upper Rhuddanian), an interval mostly controlled by global sea-level rise. The second stage, ranging from the Demirastrites triangulatus Biozone(LM6, lower Aeronian) to the Spirograptus guerichi Biozone(LM9, lower Telychian), is named the regressive shrinking stage, during which the black shales were gradually replaced by mixed-facies or carbonate sediments from the south to the north, representing the effects of the persistent uplifting of the Central Guizhou Oldland. | CHEN Xu FAN JunXuan WANG WenHui WANG HongYan NIE HaiKuan SHI XueWen WEN ZhiDong CHEN DongYang LI WenJie | 2017 | Science China Earth Sciences2017，60，6： | 23 |
| 4 | Superconvergence of a Nonconforming Finite Element Approximation to Viscoelasticity Type Equations on Anisotropic Meshes显示文摘The main aim of this paper is to study the approximation to viscoelasticity type equations with a Crouzeix-Raviart type nonconforming finite element on the anisotropic meshes. The superclose property of the exact solution and the optimal error estimate of its derivative with respect to time are derived by using some novel techniques. Moreover, employing a postprocessing technique, the global superconvergence property for the discretization error of the postprocessed discrete solution to the solution itself is studied. | Dongyang Shi Yucheng Peng Shaochun Chen | 2006 | Numerical Mathematics A Journal of Chinese Universities(English Series)2006，15，4： | 21 |
| 5 | ACCURACY ANALYSIS FOR QUASI-CAREY ELEMENT显示文摘在这篇论文,一个新三角形的元素(Quasi-Carey 元素) 被 Specht 元素的想法构造。这个 Quasi-Carey 元素拥有一个很特殊的性质,这被显示出,即,一致性错误具有顺序 O (h 2), 当准确溶液属于 H 3(Ω) 时,比它的插值错误高订。然而,凯里元素的插值错误和一致性错误具有顺序 O (h) 。看起来,上述特殊性质从来没为第二个顺序问题为另外的三角形的元素被看见过。 | Dongyang SHI Xiaobin HAO | 2008 | Journal of Systems Science & Complexity2008，21，3： | 15 |
| 6 | EQ_1^(rot) nonconforming finite element approximation to Signorini problem显示文摘In this paper, we apply EQ rot 1 nonconforming finite element to approximate Signorini problem. If the exact solution u∈H5/2(Ω), the error estimate of order O(h) about the broken energy norm is obtained for quadrilateral meshes satisfying regularity assumption and bi-section condition. Furthermore, the superconvergence results of order O(h3/2) are derived for rectangular meshes. Numerical results are presented to confirm the considered theory. | SHI DongYang XU Chao | 2013 | Science China Mathematics2013，56，6： | 15 |
| 7 | APPROXIMATION OF NONCONFORMING QUASI-WILSON ELEMENT FOR SINE-GORDON EQUATIONS显示文摘在这份报纸, nonconforming quasi-Wilson 到非线性的 sine-Gordan 方程的一个班的有限元素近似被讨论。从存在文学基于双线性的元素和不同技术的已知的更高的精确性结果,它被证明内部产品(?( u - Ih1u ),? vh )并且一致性错误能在破 H1 作为顺序 O ( h2 )被估计- norm/L2 -标准什么时候 u 鈭? H3 (惟) /H4 (惟)在 Ih1u 是 u 的双线性的插值的地方, vh 属于 quasi-Wilson 有限元素空间。同时,有为在概括矩形的网孔下面的半分离的计划的顺序 O (h2 ) 的 superclose 结果被导出。而且,一个充分分离的计划被建议,顺序 O ( h2 + 蟿2 )的相应错误估计为矩形的分区被获得什么时候 u 鈭? H4 (惟),它比 nonconforming 上的平常的分析的高象有 ADI 计划和一份订单的双线性的元素的一样一样有限元素。[从作者抽象] | Dongyang Shi Ding Zhang | 2013 | Journal of Computational Mathematics2013，31，3： | 15 |
| 8 | SUPERCONVERGENCE ANALYSIS OF THE STABLE CONFORMING RECTANGULAR MIXED FINITE ELEMENTS FOR THE LINEAR ELASTICITY PROBLEM显示文摘在这份报纸,我们基于 Hellinger-Reissner 变化原则考虑线性弹性问题。为压力和排水量和排水量的全球 superconvergence 结果的一个 O (h2 ) 顺序 superclose 性质被采用 Cl 茅 m ent 插值,不可分的身份和适当 postprocessing 技术建立。[从作者抽象] | Dongyang Shi Minghao Li | 2014 | Journal of Computational Mathematics2014，32，2： | 15 |
| 9 | A Nonconforming Arbitrary Quadrilateral Finite Element Method for Approximating Maxwell's Equations显示文摘The main aim of this paper is to provide convergence analysis of Quasi-Wilson nonconforming finite element to Maxwell's equations under arbitrary quadrilateral meshes.The error estimates are derived,which are the same as those for conforming elements under conventional regular meshes. | Dongyang Shi Lifang Pei Shaochun Chen | 2007 | Numerical Mathematics A Journal of Chinese Universities(English Series)2007，16，4： | 9 |
| 10 | HIGH ACCURACY ANALYSIS OF THE FINITE ELEMENT METHOD FOR NONLINEAR VISCOELASTIC WAVE EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS显示文摘在矩形的网孔上的度 p 的标准有限元素被使用与非线性的边界条件解决一种非线性的粘弹性的波浪方程,并且没有使用 nonclassical,连续 Galerkin 近似的 superclose 性质被导出模型问题的准确溶液的椭圆形的设计。比传统的错误估计高的一份订单的全球 superconvergence 也通过 postprocessing 技术被获得。 | Dongyang SHI Buying ZHANG | 2011 | Journal of Systems Science & Complexity2011，24，4： | 9 |
| 11 | AN ANISOTROPIC NONCONFORMING FINITE ELEMENT SCHEME WITH MOVING GRIDS FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATIONS显示文摘一个 Crank-Nicolson 计划基于 nonconforming,有动人的格子的有限元素在各向异性的网孔下面为寓言的 integro 微分的方程的一个班被讨论。相应集中分析被介绍,错误估计被使用插值操作员而不是是在在以前的文学的传统的有限元素方法的集中分析的一个不可缺少的工具的常规椭圆形的设计获得。 | Dongyang SHI Lin WANG | 2011 | Journal of Systems Science & Complexity2011，24，5： | 8 |
| 12 | ANISOTROPIC BIQUADRATIC ELEMENT WITH SUPERCLOSE RESULT显示文摘这篇论文的主要目的是在各向异性的网孔上为第二个顺序问题学习四乘幂的有限元素的集中。由使用一些新奇途径和技术,最佳的错误估计被获得。同时,各向异性的 supercloseresults 也被完成。而且,数字结果被给表明我们的理论分析。 | Dongyang SHI Shipeng MAO Hui LIANG | 2006 | Journal of Systems Science & Complexity2006，19，4： | 8 |
| 13 | SUPERCONVERGENCE ANALYSIS OF A NONCONFORMING TRIANGULAR ELEMENT ON ANISOTROPIC MESHES显示文摘我们构思的各向异性的网孔的班放弃常规假设。凯里的元素的一些不同性质被用来为二维的秒顺序的一个班处理超级集中各向异性的网孔上的椭圆形的边界价值问题。最佳的结果被获得;数字例子被给证实我们的理论分析。 | Dongyang SHI Hui LIANG Caixia WANG | 2007 | Journal of Systems Science & Complexity2007，20，4： | 7 |
| 14 | AN ANISOTROPIC LOCKING-FREE NONCONFORMING TRIANGULAR FINITE ELEMENT METHOD FOR PLANAR LINEAR ELASTICITY PROBLEM显示文摘这份报纸的主要目的是学习 nonconforming 线性的三角形的 Crouzeix-Raviart 类型有各向异性的一般三角形的网孔上的纯排水量边界价值的平面线性弹性问题的有限元素近似令人满意最大的角度条件和坐标系统条件。精力标准和 L2 标准的最佳的顺序错误估计被获得,哪个独立于打敢愠搠癥 吗? | Dongyang Shi Chao Xu | 2012 | Journal of Computational Mathematics2012，30，2： | 7 |
| 15 | ACCURACY ANALYSIS OF 12-PARAMETER RECTANGULAR PLATE ELEMENTS WITH GEOMETRIC SYMMETRY显示文摘In this paper, it is proved that the double set parameter rectangular plate elements with geometric symmetry possess a very special convergence property, i.e., the consistency error due to nonconformity is of order O(h2) which is one order higher than that of ACM element and rectangular generalized conforming element proposed by Y. Q. Long, although all these elements have the same asympotical rate of convergence O(h) in the energy norm. This particular property seems to be never seen before for other nonconforming rectangular plate elements. | SHI Dongyang CHEN Shaochun (Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China) | 2000 | Systems Science and Mathematical Sciences2000，13，2： | 6 |
| 16 | A LOW ORDER NONCONFORMING ANISOTROPIC FINITE ELEMENT APPROXIMATION TO PARABOLIC PROBLEM显示文摘A low order nonconforming finite element is applied to the parabolic problem with anisotropicmeshes.Both the semidiscrete and fully discrete forms are studied.Some superclose properties andsuperconvergence are obtained through some novel approaches and techniques. | Dongyang SHI Wei GONG | 2009 | Journal of Systems Science & Complexity2009，22，3： | 3 |
| 17 | NONCONFORMING FINITE ELEMENT METHOD FOR NONLINEAR PARABOLIC EQUATIONS显示文摘A nonconforming finite element method for the nonlinear parabolic equations is studied inthis paper.The convergence analysis is presented and the optimal error estimate in L^2(‖·‖_h)norm isobtained through Ritz projection technique,where ‖·‖_h is a norm over the finite element space. | Dongyang SHI Buying ZHANG | 2010 | Journal of Systems Science & Complexity2010，23，2： | 3 |
| 18 | NONCONFORMING FINITE ELEMENT PENALTY METHOD FOR STOKES EQUATION显示文摘NONCONFORMINGFINITEELEMENTPENALTYMETHODFORSTOKESEQUATIONSHIDONGYANG,FENGWEIBINGANDLIKAITAIAbstract.aspecialpenaltymethodispre... | SHI DONGYANG, FENG WEIBING AND LI KAITAI | 1998 | Applied Mathematics(A Journal of Chinese Universities)1998，13，1： | 3 |
| 19 | Accuracy analysis of quasi-Wilson element显示文摘 | Chen Shaochun Shi Dongyang | 2000 | Acta Mathematic Scientia2000，，： | 2 |
| 20 | Anisotropic interpolation and Quasi-Wilson element for narrow quadrilateral meshes显示文摘 | Chen Shaochu Shi Dongyang Zhao Yongcheng | 2004 | IMA Numer Anal2004，24，： | 2 |
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