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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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
Authors:
Cao, Daomin
;
Feng, Binhua
;
Luo, Tingjian
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View/Download:25/0
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Submit date: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
Authors:
Cao, Daomin
;
Qin, Guolin
;
Zou, Changjun
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View/Download:89/0
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Submit date: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
Authors:
Ming, Pingbing
;
Song, Siqi
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View/Download:85/0
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Submit date: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
Authors:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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Submit date: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
Authors:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
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Submit date: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
Authors:
Li, Xujing
;
Zhang, Xiaodi
;
Zhou, Xinxin
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Submit date: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
Authors:
Yan, Shusen
;
Yu, Weilin
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Submit date: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
Authors:
Huang, Feimin
;
Kuang, Jie
;
Wang, Dehua
;
Xiang, Wei
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Submit date: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
Authors:
Han, Pigong
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Submit date: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
Authors:
Chen, Jianyi
;
Zhang, Zhitao
;
Chang, Guijuan
;
Zhao, Jing
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View/Download:92/0
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Submit date:2021/10/26
Wave Equation
Variational Method
Klein-Gordon System
Periodic Solutions