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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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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
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
Finite Element Error Estimation for Parabolic Optimal Control Problems with Pointwise Observations
期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 页码: 35
Authors:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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Submit date:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
Authors:
Lyu, Maohui
;
Bokil, Vrushali A.
;
Cheng, Yingda
;
Li, Fengyan
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Submit date:2022/04/02
Maxwell's equations
Kerr and Raman nonlinear effects
Linear Lorentz
Nodal discontinuous Galerkin methods
Energy stable
High dimensions
Almost sure convergence of randomised-difference descent algorithm for stochastic convex optimisation
期刊论文
IET CONTROL THEORY AND APPLICATIONS, 2021, 页码: 12
Authors:
Geng, Xiaoxue
;
Huang, Gao
;
Zhao, Wenxiao
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Submit date:2021/10/26
A Nodal Finite Element Method for a Thermally Coupled Eddy-Current Problem with Moving Conductors
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 3, 页码: 767-801
Authors:
Wang, Zezhong
;
Hu, Qiya
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Submit date:2021/04/26
Thermally coupled eddy-current problem
finite element method
time step-length iteration
Picard iteration
optimal error estimates
preconditioner
Central discontinuous Galerkin methods on overlapping meshes for wave equations
期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
Authors:
Liu, Yong
;
Lu, Jianfang
;
Shu, Chi-Wang
;
Zhang, Mengping
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Submit date:2021/04/26
Optimal error estimates
central DG method
second order wave equation
dispersion analysis
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
Authors:
Lu, Jianfang
;
Liu, Yong
;
Shu, Chi-Wang
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  |  
Submit date:2021/10/26
hyperbolic conservation laws
discontinuous Galerkin
nonoscillatory
optimal error estimates
superconvergence