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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
收藏
  |  
浏览/下载:1/0
  |  
提交时间:2023/02/07
L1 scheme
Time-fractional KdV equation
Local error estimate
Weakly singular solution
Local Discontinuous Galerkin Method Coupled with Nonuniform Time Discretizations for Solving the Time-Fractional Allen-Cahn Equation
期刊论文
FRACTAL AND FRACTIONAL, 2022, 卷号: 6, 期号: 7
作者:
Wang, Zhen
;
Sun, Luhan
;
Cao, Jianxiong
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  |  
浏览/下载:13/0
  |  
提交时间:2022/08/09
time-fractional Allen-Cahn equation
nonuniform time meshes
local discontinuous galerkin method
stability and convergence
High order interface-penalty finite element methods for elliptic interface problems with Robin jump conditions
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2022, 卷号: 390, 页码: 24
作者:
Li, Xujing
;
Zhang, Xiaodi
;
Zhou, Xinxin
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  |  
浏览/下载:7/0
  |  
提交时间:2022/06/21
Interface problem
Unfitted mesh
Interface-penalty finite element method
Robin jump conditions
Nitsche's method
ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
作者:
Gong, Wei
;
Mateos, Mariano
;
Singler, John
;
Zhang, Yangwen
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  |  
浏览/下载:8/0
  |  
提交时间:2022/04/29
Dirichlet boundary control
Stokes flows
energy space
regularity
finite element method
error estimates
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:
Ma, Chuwen
;
Zhang, Qinghai
;
Zheng, Weiying
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  |  
浏览/下载:2/0
  |  
提交时间:2023/02/07
 
unfitted characteristic finite element methods
time-varying domains
moving boundary problems
the advection-diffusion equation
fourth-order error estimates
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
Central discontinuous Galerkin methods on overlapping meshes for wave equations
期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
作者:
Liu, Yong
;
Lu, Jianfang
;
Shu, Chi-Wang
;
Zhang, Mengping
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  |  
浏览/下载:33/0
  |  
提交时间:2021/04/26
Optimal error estimates
central DG method
second order wave equation
dispersion analysis
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE
期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:
Ye, Changqing
;
Cui, Junzhi
;
Dong, Hao
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  |  
浏览/下载:52/0
  |  
提交时间:2021/10/26
elliptic hemivariational inequality
homogenization
finite element method
error estimates
contact problems
Robin problems
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
作者:
Lu, Jianfang
;
Liu, Yong
;
Shu, Chi-Wang
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  |  
浏览/下载:33/0
  |  
提交时间:2021/10/26
hyperbolic conservation laws
discontinuous Galerkin
nonoscillatory
optimal error estimates
superconvergence
Unknown source identification problem for space-time fractional diffusion equation: optimal error bound analysis and regularization method
期刊论文
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2021, 卷号: 29, 期号: 12, 页码: 2040-2084
作者:
Yang, Fan
;
Wang, Qian-Chao
;
Li, Xiao-Xiao
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  |  
浏览/下载:12/0
  |  
提交时间:2021/06/03
Inverse problem
Caputo-Fabrizio fractional derivative
space-time fractional diffusion equation
optimal error bound
unknown source identification
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