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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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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
Authors:
Shen, Yue
;
Gong, Wei
;
Yan, Ningning
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Submit date:2023/02/07
Optimal control problem
Stokes equations
Control constraints
Adaptive nonconforming finite element method
Convergence and quasi-optimality
Model averaging for interval-valued data
期刊论文
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2022, 卷号: 301, 期号: 2, 页码: 772-784
Authors:
Sun, Yuying
;
Zhang, Xinyu
;
Wan, Alan T. K.
;
Wang, Shouyang
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Submit date:2023/02/07
Forecasting
Asymptotic optimality
Interval-valued time series
Model averaging
Vector autoregression
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
Authors:
Chen, Hu
;
Chen, Mengyi
;
Sun, Tao
;
Tang, Yifa
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Submit date:2023/02/07
L1 scheme
Time-fractional KdV equation
Local error estimate
Weakly singular solution
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
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 2, 页码: 30
Authors:
Zhang, Xiaodi
;
Wang, Xiaorong
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Submit date:2022/04/02
Mixed finite element method
Divergence-free
Inductionless MHD equations
Conservation of charge and mass
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
Authors:
Gong, Wei
;
Mateos, Mariano
;
Singler, John
;
Zhang, Yangwen
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Submit date:2022/04/29
Dirichlet boundary control
Stokes flows
energy space
regularity
finite element method
error estimates
AN EFFICIENT MULTIMODES MONTE CARLO HOMOGENIZATION METHOD FOR RANDOM MATERIALS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: A1752-A1774
Authors:
Yang, Zihao
;
Huang, Jizu
;
Feng, Xiaobing
;
Guan, Xiaofei
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Submit date:2023/02/07
stochastic homogenization
multimodes Monte Carlo method
finite element method
convergence and error estimates
random composite materials
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
Authors:
Ma, Chuwen
;
Zhang, Qinghai
;
Zheng, Weiying
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Submit date:2023/02/07
 
unfitted characteristic finite element methods
time-varying domains
moving boundary problems
the advection-diffusion equation
fourth-order error estimates