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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
Inverse scattering and N-triple-pole soliton and breather solutions of the focusing nonlinear Schrodinger hierarchy with nonzero boundary conditions
期刊论文
PHYSICS LETTERS A, 2021, 卷号: 407, 页码: 18
Authors:
Weng, Weifang
;
Yan, Zhenya
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Submit date:2021/10/26
Focusing NLS hierarchy
Inverse scattering
Riemann-Hilbert problem
Nonzero boundary conditions
N-triple-pole solitons and breathers
Variational inequality transport model on the sphere by the active-set reduced-space algorithm
期刊论文
COMPUTER PHYSICS COMMUNICATIONS, 2021, 卷号: 260, 页码: 10
Authors:
Yang, Haijian
;
Yang, Chao
;
Huang, Jizu
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Submit date:2021/04/26
Transport problem on the sphere
Variational inequality
Parallel computing
Fully implicit scheme
Active-set reduced-space method
Explicit a posteriori and a priori error estimation for the finite element solution of Stokes equations
期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2021, 页码: 15
Authors:
Liu, Xuefeng
;
Nakao, Mitsuhiro T.
;
You, Chun'guang
;
Oishi, Shin'ichi
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Submit date:2021/04/26
Stokes equation
A posteriori error estimation
A priori error estimation
Finite element method
Hypercircle method
Eigenvalue problem
Regularization by Noise for the Point Vortex Model of mSQG Equations
期刊论文
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2020, 页码: 15
Authors:
Luo, De Jun
;
Saal, Martin
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Submit date:2020/05/24
Point vortices
modified Surface Quasi-Geostrophic equations
space-dependent noise
absolute continuity
Basis-free solution to general linear quaternionic equation
期刊论文
LINEAR & MULTILINEAR ALGEBRA, 2020, 卷号: 68, 期号: 3, 页码: 435-457
Authors:
Shao, Changpeng
;
Li, Hongbo
;
Huang, Lei
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Submit date:2021/01/14
Linear quaternionic equation
Sylvester equation
basis-free solution
clifford algebra
Primary
Secondary
Initial-boundary value problem for the spin-1 Gross-Pitaevskii system with a 4 x 4 Lax pair on a finite interval
期刊论文
JOURNAL OF MATHEMATICAL PHYSICS, 2019, 卷号: 60, 期号: 8, 页码: 47
Authors:
Yan, Zhenya
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Submit date:2020/01/10
Explicit Deferred Correction Methods for Second-Order Forward Backward Stochastic Differential Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 3, 页码: 1409-1432
Authors:
Yang, Jie
;
Zhao, Weidong
;
Zhou, Tao
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Submit date:2020/01/10
Deferred correction method
Second-order forward backward stochastic differential equations
Euler scheme
High-order rate of convergence
Large Time Behavior of Solutions to 3-D MHD System with Initial Data Near Equilibrium
期刊论文
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2018, 卷号: 230, 期号: 3, 页码: 1017-1102
Authors:
Deng, Wen
;
Zhang, Ping
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Submit date:2018/10/07