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An inverse averaging finite element method for solving three-dimensional Poisson-Nernst-Planck equations in nanopore system simulations
期刊论文
JOURNAL OF CHEMICAL PHYSICS, 2021, 卷号: 155, 期号: 19, 页码: 13
作者:
Zhang, Qianru
;
Wang, Qin
;
Zhang, Linbo
;
Lu, Benzhuo
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浏览/下载:11/0
  |  
提交时间:2022/04/02
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
作者:
Ma, Qiang
;
Ye, Shuyu
;
Cui, Junzhi
;
Yang, Zhiqiang
;
Jiang, Xue
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  |  
浏览/下载:63/0
  |  
提交时间: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
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:54/0
  |  
提交时间:2021/10/26
elliptic hemivariational inequality
homogenization
finite element method
error estimates
contact problems
Robin problems
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
作者:
Zhang, Weifeng
;
Fan, Ronghong
;
Zhong, Liuqiang
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  |  
浏览/下载:28/0
  |  
提交时间:2020/06/30
Iterative methods
Two-grid method
Convergence
Semilinear elliptic equations
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
作者:
Li, Ruo
;
Ming, Pingbing
;
Sun, Ziyuan
;
Yang, Zhijian
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  |  
浏览/下载:24/0
  |  
提交时间:2020/01/10
Least-squares reconstruction
Discontinuous Galerkin method
Elliptic problem
NUMERICAL APPROXIMATION OF ELLIPTIC PROBLEMS WITH LOG-NORMAL RANDOM COEFFICIENTS
期刊论文
INTERNATIONAL JOURNAL FOR UNCERTAINTY QUANTIFICATION, 2019, 卷号: 9, 期号: 2, 页码: 161-186
作者:
Wan, Xiaoliang
;
Yu, Haijun
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浏览/下载:20/0
  |  
提交时间:2020/01/10
Wiener chaos expansion
Wick product
stochastic elliptic PDE
uncertainty quantification
log-normal random coefficient
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates
期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
作者:
Ma, Qiang
;
Li, Zhihui
;
Cui, Junzhi
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浏览/下载:26/0
  |  
提交时间:2018/10/07
Homogenization method
Multi-scale asymptotic expansion
Eigenvalue problems
Finite element approximation
Coordinate transformation
Stability of transonic shocks in steady supersonic flow past multidimensional wedges
期刊论文
ADVANCES IN MATHEMATICS, 2017, 卷号: 314, 页码: 493-539
作者:
Chen, Gui-Qiang
;
Fang, Beixiang
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  |  
浏览/下载:23/0
  |  
提交时间:2018/07/30
Stability
Multidimensional
M-D
Transonic shocks
Steady
Supersonic
Wedge
Nonlinear approach
Iteration scheme
A priori estimates
Boundary value problems
Weighted norms
Instability
Asymptotic behavior
A FULL MULTIGRID METHOD FOR SEMILINEAR ELLIPTIC EQUATION
期刊论文
APPLICATIONS OF MATHEMATICS, 2017, 卷号: 62, 期号: 3, 页码: 225-241
作者:
Xu, Fei
;
Xie, Hehu
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  |  
浏览/下载:17/0
  |  
提交时间:2018/07/30
semilinear elliptic problem
full multigrid method
multilevel correction
finite element method
A Weak Galerkin Method with an Over-Relaxed Stabilization for Low Regularity Elliptic Problems
期刊论文
Journal of Scientific Computing, 2016, 页码: 1-24
作者:
Song, Lunji
;
Liu, Kaifang
;
Zhao, Shan
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  |  
浏览/下载:5/0
  |  
提交时间:2017/01/12
Finite element method
Computational mechanics
Galerkin methods
Numerical methods
Sobolev spaces
Stabilization
Discontinuous Galerkin methods
Low regularity
Low regularity solution
Numerical results
Optimal convergence order
Second-order elliptic problem
Variational form
Variational formulation
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