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ON THE STANDING WAVES FOR THE X-RAY FREE ELECTRON LASER SCHRODINGER EQUATION 期刊论文
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 页码: 41
作者:  Cao, Daomin;  Feng, Binhua;  Luo, Tingjian
收藏  |  浏览/下载:60/0  |  提交时间:2023/02/07
XFEL Schr?dinger equation  nonlinear elliptic equations  normalized solutions  orbital stability  strong instability  
Vortex patch problem for steady lake equation 期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 卷号: 63, 期号: 6, 页码: 25
作者:  Cao, Daomin;  Qin, Guolin;  Zou, Changjun
收藏  |  浏览/下载:198/0  |  提交时间:2023/02/07
A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
作者:  Ming, Pingbing;  Song, Siqi
收藏  |  浏览/下载:124/0  |  提交时间:2022/04/29
Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* 期刊论文
INVERSE PROBLEMS, 2022, 卷号: 38, 期号: 4, 页码: 45
作者:  Gong, Wei;  Tan, Zhiyu;  Zhou, Zhaojie
收藏  |  浏览/下载:137/0  |  提交时间:2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
Optimal convergence of finite element approximation to an optimization problem with PDE constraint* * Wei Gong was supported by the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB 41000000), the National Key Basic Research Program (Grant No. 2018YFB0704304) and the National Natural Science Foundation of China (Grant No. 12071468, 11671391). Zhaojie Zhou was supported by the National Natural Science Foundation of China under Grant No. 11971276. 期刊论文
Inverse Problems, 2022, 卷号: 38, 期号: 4
作者:  Gong,Wei;  Tan,Zhiyu;  Zhou,Zhaojie
收藏  |  浏览/下载:124/0  |  提交时间:2022/04/29
inverse source problem  optimal control  finite element method  a priori error estimate  a posteriori error estimate  adaptivity  rate optimality  
High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 390, 页码: 24
作者:  Li, Xujing;  Zhang, Xiaodi;  Zhou, Xinxin
收藏  |  浏览/下载:104/0  |  提交时间:2022/06/21
Interface problem  Unfitted mesh  Interface-penalty finite element method  Robin jump conditions  Nitsche's method  
PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
作者:  Yan, Shusen;  Yu, Weilin
收藏  |  浏览/下载:133/0  |  提交时间:2022/04/02
The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
作者:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
收藏  |  浏览/下载:125/0  |  提交时间:2022/04/02
Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
Decay properties for the incompressible Navier-Stokes flows in a half space 期刊论文
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2021, 页码: 24
作者:  Han, Pigong
收藏  |  浏览/下载:104/0  |  提交时间:2022/06/21
Navier-Stokes flow  Stokes operator  half space  
Periodic Solutions to Klein-Gordon Systems with Linear Couplings 期刊论文
ADVANCED NONLINEAR STUDIES, 2021, 卷号: 21, 期号: 3, 页码: 633-660
作者:  Chen, Jianyi;  Zhang, Zhitao;  Chang, Guijuan;  Zhao, Jing
收藏  |  浏览/下载:125/0  |  提交时间:2021/10/26
Wave Equation  Variational Method  Klein-Gordon System  Periodic Solutions