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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
作者:
Gong, Wei
;
Tan, Zhiyu
;
Zhou, Zhaojie
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  |  
浏览/下载:14/0
  |  
提交时间: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
作者:
Gong,Wei
;
Tan,Zhiyu
;
Zhou,Zhaojie
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  |  
浏览/下载:14/0
  |  
提交时间:2022/04/29
inverse source problem
optimal control
finite element method
a priori error estimate
a posteriori error estimate
adaptivity
rate optimality
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
作者:
Liang, Dongdong
;
Gong, Wei
;
Xie, Xiaoping
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  |  
浏览/下载:15/0
  |  
提交时间:2022/04/02
Parabolic optimal control problem
pointwise observation
space-time finite element method
parabolic PDE with Dirac measure
error estimate
C-0 DISCONTINUOUS GALERKIN METHODS FOR A PLATE FRICTIONAL CONTACT PROBLEM
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2019, 卷号: 37, 页码: 184-200
作者:
Wang, Fei
;
Zhang, Tianyi
;
Han, Weimin
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浏览/下载:9/0
  |  
提交时间:2019/11/19
Plate frictional contact problem
Variational inequality of fourth-order
Optimal order error estimate
Discontinuous Galerkin method
On the solution of coupled Stokes/Darcy model with Beavers?Joseph interface condition
期刊论文
Computers and Mathematics with Applications, 2019, 卷号: 77, 页码: 50-65
作者:
Hou, Yanren
;
Qin, Yi
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  |  
浏览/下载:8/0
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提交时间:2019/11/19
Error estimates
Existence of Solutions
Finite element schemes
Interface conditions
Optimal error estimate
Physical parameters
Steady state
Wellposedness
Unconditionally convergent numerical method for the two-dimensional nonlinear time fractional diffusion-wave equation
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 1-12
作者:
Zhang, Hui
;
Jiang, Xiaoyun
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浏览/下载:2/0
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提交时间:2019/12/11
Two-dimensional nonlinear time fractional diffusion-wave equation
Optimal error estimate
Crank-Nicolson method
Legendre spectral method
Distributed Lagrange Multiplier/Fictitious Domain Finite Element Method for a Transient Stokes Interface Problem with Jump Coefficients
期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 35-62
作者:
Lundberg, Andrew
;
Sun, Pengtao
;
Wang, Cheng
;
Zhang, Chen-song
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浏览/下载:32/0
  |  
提交时间:2020/01/10
Transient Stokes interface problem
jump coefficients
distributed Lagrange multiplier
fictitious domain method
mixed finite element
an optimal error estimate
stability
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:
Ma, Chupeng
;
Cao, Liqun
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浏览/下载:12/0
  |  
提交时间:2018/07/30
Maxwell-Schrodinger equations
finite element method
Crank-Nicolson scheme
optimal error estimate
HETEROGENEOUS MULTISCALE METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY ELLIPTIC EQUATIONS WITH HIGHLY OSCILLATORY COEFFICIENTS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 644-660
作者:
Ge, Liang
;
Yan, Ningning
;
Wang, Lianhai
;
Liu, Wenbin
;
Yang, Danping
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浏览/下载:42/0
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提交时间:2019/03/05
Constrained convex optimal control
Heterogeneous multiscale finite element
A priori error estimate
Elliptic equations with highly oscillatory coefficients
A new multiscale finite element method for the 2D transient Navier–Stokes equations
期刊论文
International Journal of Computer Mathematics, 2018
作者:
Wen, Juan
;
He, Yinnian
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浏览/下载:8/0
  |  
提交时间:2019/11/19
Multiscale enrichment
Multiscale finite element method
Optimal error estimate
Optimal ordering
Regularity assumption
Stokes equations
Stokes problem
Two Dimensional (2 D)
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