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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
Peridynamic modeling with energy-based surface correction for fracture simulation of random porous materials
期刊论文
THEORETICAL AND APPLIED FRACTURE MECHANICS, 2021, 卷号: 114, 页码: 13
Authors:
Shen, Shangkun
;
Yang, Zihao
;
Han, Fei
;
Cui, Junzhi
;
Zhang, Jieqiong
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Submit date:2021/10/26
Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain
期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 页码: 21
Authors:
Ye, Shuyu
;
Ma, Qiang
;
Hu, Bing
;
Cui, Junzhi
;
Jiang, Xue
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Submit date:2021/10/26
corrector equations
error estimation
finite element computation
second-order two-scale asymptotic analysis
Steklov eigenvalue problem
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales
期刊论文
MATHEMATICS AND MECHANICS OF SOLIDS, 2021, 卷号: 26, 期号: 6, 页码: 905-936
Authors:
Dong, Hao
;
Cui, Junzhi
;
Nie, Yufeng
;
Jin, Ke
;
Guan, Xiaofei
;
Yang, Zihao
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Submit date:2021/10/26
Multiscale asymptotic analysis
mechanical behaviors
axisymmetric composite structures
micro-meso-macro coupled model
HOTS numerical algorithm
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials
期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
Authors:
Ma, Qiang
;
Ye, Shuyu
;
Cui, Junzhi
;
Yang, Zhiqiang
;
Jiang, Xue
;
Li, Zhihui
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Submit date:2021/04/26
Hierarchically perforated structure
Successive two-scale asymptotic analysis
Neumann-type elliptic eigenvalue problem
Second-order two-scale and three-scale
asymptotic computations
Finite element simulation
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:
Zhang, Yongwei
;
Cao, Liqun
;
Shi, Dongyang
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Submit date:2021/04/26
Maxwell's equations
dispersive medium
well-posedness
the multiscale asymptotic expansion
finite element method
Iterative two-grid methods for semilinear elliptic equations
期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 3, 页码: 522-530
Authors:
Zhang, Weifeng
;
Fan, Ronghong
;
Zhong, Liuqiang
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Submit date:2020/06/30
Iterative methods
Two-grid method
Convergence
Semilinear elliptic equations
High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales
期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 卷号: 12, 期号: 2, 页码: 599-642
Authors:
Dong, Hao
;
Cui, Junzhi
;
Nie, Yufeng
;
Yang, Zihao
;
Yang, Ziqiang
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Submit date:2020/05/24
Multiscale asymptotic analysis
thermoelastic problems
axisymmetric composite structures
multiple spatial scales
HOTS numerical algorithm
High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface
期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
Authors:
Cui, Tao
;
Leng, Wei
;
Liu, Huaqing
;
Zhang, Linbo
;
Zheng, Weiying
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View/Download:42/0
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Submit date:2021/01/14
Quadrature
tetrahedral mesh
curved surface
extended finite element
high order