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INVERSE SOURCE PROBLEMS FOR THE STOCHASTIC WAVE EQUATIONS: FAR-FIELD PATTERNS 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2022, 卷号: 82, 期号: 4, 页码: 1113-1134
作者:  Li, Jianliang;  Li, Peijun;  Wang, Xu
收藏  |  浏览/下载：66/0  |  提交时间：2023/02/07
Key words  inverse source problem  stochastic wave equation  Gaussian random field  pseudodifferential operator  far-field pattern  uniqueness  
Existence and stability of normalized solutions to the mixed dispersion nonlinear Schrodinger equations 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2022, 卷号: 30, 期号: 8, 页码: 2871-2898
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载：86/0  |  提交时间：2023/02/07
biharmonic nonlinear Schrodinger equations  normalized solution  orbital stability  general nonlinearity  
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：133/0  |  提交时间：2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
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
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载：153/0  |  提交时间：2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
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：121/0  |  提交时间：2020/06/30
minimal finite element space  quadrilateral grid  quadratic polynomial  biharmonic equation  
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：146/0  |  提交时间：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
作者:  Wang,Xiujuan;  Mao,Anmin;  Qian,Aixia
收藏  |  浏览/下载：131/0  |  提交时间：2018/07/30
Super-quadratic  High energy solutions  Sign-changing potential  Fountain theorem  35J25  35J20  35J60  35J61  
Capacity of the Adini Element for Biharmonic Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 69, 期号: 3, 页码: 1366-1383
作者:  Hu, Jun;  Yang, Xueqin;  Zhang, Shuo
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Biharmonic equation  Adini element  Error estimate  Arbitrary dimension  
Multiple solutions on a p-biharmonic equation with nonlocal term 期刊论文
Boundary Value Problems, 2016, 卷号: 2016, 期号: 1
作者:  Xiu,Zonghu;  Zhao,Jing;  Chen,Jianyi;  Li,Shengjun
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
variational methods  nonlocal term  biharmonic equation  35J20  35J62  35J92  
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
作者:  Feng, Chunsheng;  Zhang, Shuo
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Biharmonic equation  Morley element  Optimal solver  Precondition  Exact sequence