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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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Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in L-2(Gamma)
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 36
Authors:
Zhou, Kaiye
;
Gong, Wei
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Submit date:2022/04/29
Dirichlet boundary control
Stokes equations
Polygonal/polyhedral domain
Smooth domain
Finite elements
Error estimates
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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inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM
期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
Authors:
Liang, Qigang
;
Xu, Xuejun
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Maxwell eigenvalue problem
edge element
Helmholtz projection
Jacobi-Davidson method
domain decomposition
Energy-preserving fully-discrete schemes for nonlinear stochastic wave equations with multiplicative noise
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 451, 页码: 20
Authors:
Hong, Jialin
;
Hou, Baohui
;
Sun, Liying
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Submit date:2022/04/29
Compact finite difference method
Interior penalty discontinuous Galerkin finite element method
Pade approximation
Averaged energy evolution law
Stochastic wave equation
Multiplicative noise
On the instability of the possible blow-up solutions to 2D Boussinesq system
期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 卷号: 306, 页码: 547-568
Authors:
Shao, Ruijie
;
Zhang, Ping
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Submit date:2022/04/02
2D Boussinesq system
WKB method
Instability
Semi-classical pseudo-differential operator
Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
期刊论文
PHYSICA SCRIPTA, 2021, 卷号: 96, 期号: 12, 页码: 19
Authors:
Arshad, Sadia
;
Saleem, Iram
;
Defterli, Ozlem
;
Tang, Yifa
;
Baleanu, Dumitru
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Submit date:2022/04/02
fractional operator with the non-singular kernel
numerical approximation
stability analysis
convergence analysis
tumor model
chaos
Linear screening for high-dimensional computer experiments
期刊论文
STAT, 2021, 卷号: 10, 期号: 1, 页码: 9
Authors:
Li, Chunya
;
Chen, Daijun
;
Xiong, Shifeng
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best linear approximation
best subset regression
nonlinear model
sure independence screening
Stein variational gradient descent with local approximations
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 386, 页码: 20
Authors:
Yan, Liang
;
Zhou, Tao
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Stein variational gradient decent
Bayesian inference
Deep learning
Local approximation
A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 3, 页码: 25
Authors:
Xie, Hui
;
Xu, Xuejun
;
Zhai, Chuanlei
;
Yong, Heng
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Submit date:2022/04/02
Anisotropic diffusion
Positivity
Vertex unknowns
Least square