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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:118/0  |  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:109/0  |  提交时间:2022/04/02
subject Elastic transmission eigenvalue problem  nonconforming finite element method  high accuracy  
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:134/0  |  提交时间:2020/09/23
Nonconforming finite element method  Transmission eigenvalues  High accurary  
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
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:136/0  |  提交时间: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
作者:  Zhang, Weifeng;  Zhang, Shuo
收藏  |  浏览/下载:126/0  |  提交时间:2020/05/24
Quad-curl equation  Order reduced scheme  Regularity analysis  Finite element method  
Mixed Schemes for Fourth-Order DIV Equations 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
作者:  Fan, Ronghong;  Liu, Yanru;  Zhang, Shuo
收藏  |  浏览/下载:143/0  |  提交时间:2020/01/10
Fourth-Order DIV Equation  Mixed Scheme  Regularity Analysis  Finite Element Method  
A Multi-Level Mixed Element Method for the Eigenvalue Problem of Biharmonic Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 75, 期号: 3, 页码: 1415-1444
作者:  Zhang, Shuo;  Xi, Yingxia;  Ji, Xia
收藏  |  浏览/下载:148/0  |  提交时间:2018/07/30
Eigenvalue problem  Multi-level mixed element method  Biharmonic equation  
MIXED SCHEMES FOR QUAD-CURL EQUATIONS 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2018, 卷号: 52, 期号: 1, 页码: 147-161
作者:  Zhang, Shuo
收藏  |  浏览/下载:163/0  |  提交时间:2018/07/30
Quad-curl equation  mixed scheme  regularity analysis  finite element method  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
收藏  |  浏览/下载:146/0  |  提交时间:2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
作者:  Wang, Fei;  Zhang, Shuo
收藏  |  浏览/下载:134/0  |  提交时间:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element