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A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
作者:  Liu, Wenjia;  Zhang, Shuo
收藏  |  浏览/下载:76/0  |  提交时间:2023/02/07
Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
作者:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:154/0  |  提交时间:2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:154/0  |  提交时间:2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 4, 页码: 1061-1082
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:142/0  |  提交时间:2022/04/02
subject Elastic transmission eigenvalue problem  nonconforming finite element method  high accuracy  
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
作者:  Zhang, Shuo
收藏  |  浏览/下载:172/0  |  提交时间:2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:211/0  |  提交时间: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
作者:  Zhang, Shuo
收藏  |  浏览/下载:170/0  |  提交时间:2020/06/30
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
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:169/0  |  提交时间: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
作者:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
收藏  |  浏览/下载:180/0  |  提交时间: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
作者:  Zhang, Shuo
收藏  |  浏览/下载:144/0  |  提交时间:2020/06/30
minimal finite element space  quadrilateral grid  quadratic polynomial  biharmonic equation