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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 analysis of a conservative finite element scheme for time-dependent inductionless MHD problem
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
作者:
Long, Xiaonian
;
Ding, Qianqian
;
Mao, Shipeng
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浏览/下载:89/0
  |  
提交时间:2023/02/07
Inductionless magnetohydrodynamics
Current density conservation
Euler semi-implicit
Error estimate
Mixed finite element method
Optimal Control in a Bounded Domain for Wave Propagating in the Whole Space: Coupling Through Boundary Integral Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 92, 期号: 3, 页码: 52
作者:
Gong, Wei
;
Li, Buyang
;
Yang, Huanhuan
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  |  
浏览/下载:77/0
  |  
提交时间:2023/02/07
Wave equation
Unbounded domain
Boundary integral equation
Well-posedness
Convolution quadrature
Stability
Convergence
Error estimate
Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions
期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:
Chen, Hu
;
Chen, Mengyi
;
Sun, Tao
;
Tang, Yifa
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  |  
浏览/下载:94/0
  |  
提交时间:2023/02/07
L1 scheme
Time-fractional KdV equation
Local error estimate
Weakly singular solution
The Crank-Nicolson Galerkin method and convergence for the time-dependent Maxwell-Dirac system under the Lorentz gauge
期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 407, 页码: 20
作者:
Fu, Yaoyao
;
Cao, Liqun
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  |  
浏览/下载:53/0
  |  
提交时间:2023/02/07
Time-dependent Maxwell-Dirac system
Error estimate
Topological insulator
Graphene
Superconductor
Crank-Nicolson Galerkin finite element method
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:137/0
  |  
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:125/0
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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:121/0
  |  
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
An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures
期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 35
作者:
Jiang, Xue
;
Li, Peijun
;
Lv, Junliang
;
Wang, Zhoufeng
;
Wu, Haijun
;
Zheng, Weiying
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  |  
浏览/下载:136/0
  |  
提交时间:2022/04/02
Maxwell's equations
diffractive grating problem
biperiodic structures
adaptive finite element method
transparent boundary condition
a posteriori error estimate
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:
Gong, Wei
;
Zhu, Shengfeng
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  |  
浏览/下载:134/0
  |  
提交时间:2021/10/26
shape optimization
shape gradient
boundary formulation
boundary correction
a priori error estimate
finite element
CONVERGENCE OF DZIUK'S FULLY DISCRETE LINEARLY IMPLICIT SCHEME FOR CURVE SHORTENING FLOW
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 6, 页码: 2823-2842
作者:
Ye, Changqing
;
Cui, Junzhi
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  |  
浏览/下载:103/0
  |  
提交时间:2022/04/02
curve shortening flow
fully discrete
linearly implicit
convergence
error estimate