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An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
Authors:  Zhang, Shuo
Favorite  |  View/Download:4/0  |  Submit date:2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
A Self-test Prediction Model to Determine the Probability Risk of Non-alcoholic Fatty Liver Disease 期刊论文
BIOMEDICAL AND ENVIRONMENTAL SCIENCES, 2020, 卷号: 33, 期号: 11, 页码: 857-861
Authors:  Li Qiang;  Shen Qun Lun;  Xu Chao Nan;  Li Ming Liang;  Ma Zhi Min;  Zhang Shan;  Chen Shuo;  Zhang Min Ying;  Zhang Jing Bo;  Liu Feng;  Yang Xing Hua
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Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
Authors:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
Favorite  |  View/Download:46/0  |  Submit date:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
Stable Mixed Element Schemes for Plate Models on Multiply-Connected Domains 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 卷号: 12, 期号: 4, 页码: 1008-1034
Authors:  Zhang, Shuo
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Reissner-Mindlin plate  Kirchhoff plate  multiply-connected domain  uniformly optimal solver  regular decomposition  
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 3, 页码: 20
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
Favorite  |  View/Download:22/0  |  Submit date:2020/09/23
Nonconforming finite element method  Transmission eigenvalues  High accurary  
Nonstandard finite element de Rham complexes on cubical meshes 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 卷号: 60, 期号: 2, 页码: 373-409
Authors:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
Favorite  |  View/Download:29/0  |  Submit date:2020/06/30
Finite element  Nonconforming element  de Rham complex  
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 2, 页码: 1390-1406
Authors:  Zhang, Shuo
Favorite  |  View/Download:21/0  |  Submit date:2020/06/30
minimal finite element space  quadrilateral grid  quadratic polynomial  biharmonic equation  
Game-theoretical explorations of the mesoscale flow structure and regime transitions in bubble columns 期刊论文
PARTICUOLOGY, 2020, 卷号: 48, 页码: 100-108
Authors:  Yuan, Shuo;  Mu, Yifen;  Guan, Xiaoping;  Liu, Zhixin;  Chen, Jianhua;  Yang, Ning;  Zhang, Lin
Favorite  |  View/Download:26/0  |  Submit date:2020/05/24
Bubble column  Mesoscale  Regime transition  Game theory  Generalized Nash equilibrium  EMMS model  
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 686-707
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
Favorite  |  View/Download:22/0  |  Submit date:2020/09/23
mixed finite element method  transmission eigenvalue  multi-level scheme  
ORDER REDUCED METHODS FOR QUAD-CURL EQUATIONS WITH NAVIER TYPE BOUNDARY CONDITIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 4, 页码: 565-579
Authors:  Zhang, Weifeng;  Zhang, Shuo
Favorite  |  View/Download:25/0  |  Submit date:2020/05/24
Quad-curl equation  Order reduced scheme  Regularity analysis  Finite element method