Citation: | Zhang Hong-qing, Wang Ming. Finite Element Approximations with Multiple Sets of Functions and Quasi-Conforming Elements for Plate Bending Problems[J]. Applied Mathematics and Mechanics, 1985, 6(1): 41-52. |
[1] |
Zhang Hong-qing,The generalized patch test and 9-parameters quasi-conforming element,Proceedings of the Sino-France Symposium on Finite Element Methods,Edited by Feng Kang and J.L.Lions,Science Press,Gordon and Breach,Science Publishers,(1983),566-583.
|
[2] |
张鸿庆,多套函数广义分片检验与12参数拟协调元,大连工学院学报,21, 3(1982), 11-19.
|
[3] |
唐立民、陈万吉、刘迎曦,有限元分析中的拟协调元,大连工学院学报,19, 2(1980), 19-35
|
[4] |
蒋和洋,用拟协调元法推导高精度三角形板弯曲单元,大连工学院学报,20,增刊2(1981).21-28.
|
[5] |
钱伟长.《变分法与有限元》.上册.科学出版社.(1980).
|
[6] |
Oden,J.T.,J.N.,Reddy,An Introdution to the Mathematical Theory of Finite Elements,Wiley-Interscience,New York(1976).
|
[7] |
Stummel,F.,The generalized patch test,SIAM J.Num.Anal.16(1979),449-471.
|
[8] |
Ciarlet,P.C.,The Finite Element Method for Elliptic Problems,North-Holland,Amsterdam,New York,Oxford,(1978).
|
[1] | FAN Yajie, LI Yan, LI Zhongpan, CHEN Huijian, FENG Zhiqiang. Smoothed Finite Element Analysis of Contact and Large Deformation Problems[J]. Applied Mathematics and Mechanics, 2024, 45(2): 127-143. doi: 10.21656/1000-0887.440251 |
[2] | QIN Yan-mei, LI Hui, FENG Min-fu. A Local Stabilized Nonconforming Finite Element Method for the Optimal Control of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2016, 37(8): 842-855. doi: 10.21656/1000-0887.370137 |
[3] | CHEN Jun-bin, WEI Bo, XIE Qing, WANG Han-qing, LI Tao-tao, WANG Hao. Simulation of Multi-Hydrofracture Horizontal Wells in Shale Based on the Extended Finite Element Method[J]. Applied Mathematics and Mechanics, 2016, 37(1): 73-83. doi: 10.3879/j.issn.1000-0887.2016.01.006 |
[4] | WANG Jia-lin, HE Lin, ZHANG De-li. Finite Element Solution for Torsion Stress Function With Arbitrary Multi-Connected Section[J]. Applied Mathematics and Mechanics, 2013, 34(5): 488-495. doi: 10.3879/j.issn.1000-0887.2013.05.007 |
[5] | SHI Dong-yang, XU Chao. Anisotropic Nonconforming Crouzeix-Raviart Type FEM for Second Order Elliptic Problems[J]. Applied Mathematics and Mechanics, 2012, 33(2): 240-249. doi: 10.3879/j.issn.1000-0887.2012.02.009 |
[6] | CHEN Yu-mei, XIE Xiao-ping. Streamline Diffusion Nonconforming Finite Element Method for the Time-Dependent Linearized Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2010, 31(7): 822-834. doi: 10.3879/j.issn.1000-0887.2010.07.007 |
[7] | YANG Yong-qin, XIAO Liu-chao, CHEN Shao-chun. Nonconforming Finite Elements for the Equation of Planar Elasticity[J]. Applied Mathematics and Mechanics, 2010, 31(12): 1454-1464. doi: 10.3879/j.issn.1000-0887.2010.12.006 |
[8] | FENG Min-fu, YANG Yan, ZHOU Tian-xiao. Nonconforming Stabilized Combined Finite Element Method for the Reissner-Mindlin Plate[J]. Applied Mathematics and Mechanics, 2009, 30(2): 192-202. |
[9] | SHI Dong-yang, WANG Hai-hong, GUO Cheng. Anisotropic Rectangular Nonconforming Finite Element Analysis for Sobolev Equations[J]. Applied Mathematics and Mechanics, 2008, 29(9): 1089-1100. |
[10] | TANG Qiong, CHEN Chuan-miao, LIU Luo-hua. Space-Time Finite Element Method for the Schrodinger Equation and Its Conservation[J]. Applied Mathematics and Mechanics, 2006, 27(3): 300-304. |
[11] | ZHAO Guang-ming, SONG Shun-cheng. New Algorithm of Coupling Element-Free Galerkin With Finite Element Method[J]. Applied Mathematics and Mechanics, 2005, 26(8): 899-904. |
[12] | HE Dong-sheng, TANG Li-min. The Displacement Function of Quasi-Conforming Element and Its Node Error[J]. Applied Mathematics and Mechanics, 2002, 23(2): 119-127. |
[13] | ZHAO Hui-ming, DONG Zheng-zhu, CAO Ying-luo. The Coupling Method for Torsion Problem of the Square Cross-Section Bar With Cracks[J]. Applied Mathematics and Mechanics, 2000, 21(11): 1179-1184. |
[14] | Wang Huai-zhong. Spatlal-Temporal Discrete Coordination of FEM and Direct Integral Method for Transient Dynamic Problems[J]. Applied Mathematics and Mechanics, 1994, 15(12): 1111-1117. |
[15] | Hua Bo-hao, Wu Chang-chun, Liu Xiao-ling, Mao Zhao-lin. Plastic Limit Analysis of Incompatible Finite Element Method[J]. Applied Mathematics and Mechanics, 1990, 11(9): 797-803. |
[16] | Song Shun-cheng. The Application of Compatible Stress Iterative Method in Dynamic Finite Element Analysis of High Velocity Impact[J]. Applied Mathematics and Mechanics, 1989, 10(2): 137-143. |
[17] | Liu Zheng-xing, Wu Lian-yuan, Feng Tai-hua. The Finite Element Analysis of the Flexible Beams and Plates[J]. Applied Mathematics and Mechanics, 1985, 6(9): 833-844. |
[18] | Chen Yuan-han. Large Deformation Solution of Stiffened Plates by a Mixed Finite Element Method[J]. Applied Mathematics and Mechanics, 1984, 5(1): 139-151. |
[19] | Liang Guo-ping, Fu Zi-zhi. Mixed Hybrid Penalty Finite Element Method and Its Applications[J]. Applied Mathematics and Mechanics, 1984, 5(3): 377-390. |
[20] | Chien Wei-zang. Compatible Dynamic Finite Elements with Diagonalized Consistent Mass Matrix[J]. Applied Mathematics and Mechanics, 1982, 3(5): 565-576. |