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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
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
Favorite  |  View/Download:44/0  |  Submit date:2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
Authors:  Shen, Yue;  Jin, Chang
Favorite  |  View/Download:87/0  |  Submit date:2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 561-578
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
Favorite  |  View/Download:145/0  |  Submit date:2019/03/11
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
A DISCONTINUOUS GALERKIN METHOD BY PATCH RECONSTRUCTION FOR BIHARMONIC PROBLEM 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 期号: 4, 页码: 524-540
Authors:  Li, Ruo;  Ming, Pingbing;  Sun, Zhiyuan;  Yang, Fanyi;  Yang, Zhijian
Favorite  |  View/Download:81/0  |  Submit date:2020/05/24
Least-squares problem  Reconstructed basis function  Discontinuous Galerkin method  Biharmonic problem  
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
Authors:  Zhang, Shuo;  Xi, Yingxia;  Ji, Xia
Favorite  |  View/Download:90/0  |  Submit date:2018/07/30
Eigenvalue problem  Multi-level mixed element method  Biharmonic equation  
High energy solutions of modified quasilinear fourth-order elliptic equation 期刊论文
Boundary Value Problems, 2018, 卷号: 2018, 期号: 1
Authors:  Wang,Xiujuan;  Mao,Anmin;  Qian,Aixia
Favorite  |  View/Download:79/0  |  Submit date:2018/07/30
Super-quadratic  High energy solutions  Sign-changing potential  Fountain theorem  35J25  35J20  35J60  35J61  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
Authors:  Tang, Shibing;  Xu, Xuejun
Favorite  |  View/Download:59/0  |  Submit date:2018/07/30
biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method  
OPTIMAL SOLVER FOR MORLEY ELEMENT DISCRETIZATION OF BIHARMONIC EQUATION ON SHAPE-REGULAR GRIDS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 卷号: 34, 期号: 2, 页码: 159-173
Authors:  Feng, Chunsheng;  Zhang, Shuo
Favorite  |  View/Download:53/0  |  Submit date:2018/07/30
Biharmonic equation  Morley element  Optimal solver  Precondition  Exact sequence  
Approximation and eigenvalue extrapolation of biharmonic eigenvalue problem by nonconforming finite element methods 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 卷号: 24, 期号: 2, 页码: 435-448
Authors:  Jia, Shanghui;  Me, Hehu;  Yin, Xiaobo;  Gao, Shaoqin
Favorite  |  View/Download:49/0  |  Submit date:2018/07/30
asymptotic expansions  biharmonic eigenvalue problem  extrapolation  nonconforming finite element methods  
Asymptotic expansion and extrapolation for the Eigenvalue approximation of the biharmonic eigenvalue problem by Ciarlet-Raviart scheme 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 卷号: 27, 期号: 1, 页码: 95-106
Authors:  Chen, Wei;  Lin, Qun
Favorite  |  View/Download:58/0  |  Submit date:2018/07/30
eigenvalue problem  biharmonic equation  Ciarlet-Raviart scheme  asymptotic expansion  extrapolation  a posteriori error estimate