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A variational multiscale method for natural convection of nanofluids
期刊论文
MECHANICS RESEARCH COMMUNICATIONS, 2023, 卷号: 127, 页码: 13
作者:
Zhu, Lixing
;
A. Goraya, Shoaib
;
Masud, Arif
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浏览/下载:14/0
  |  
提交时间:2023/02/09
Stabilized methods
Nanofluids
Heat transfer
Boussinesq approximation
Natural convection
Wavy wall
Variational multiscale
Finite elements
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
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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
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
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS
期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
作者:
CHEN, Z. H. I. M. I. N. G.
;
ZHANG, W. E. N. L. O. N. G.
;
ZOU, J. U. N.
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浏览/下载:1/0
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提交时间:2023/02/07
inverse source problems
regularization
finite element approximation
stochastic error estimates
Efficient and robust Schur complement approximations in the augmented Lagrangian preconditioner for the incompressible laminar flows
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 408, 页码: 18
作者:
He, Xin
;
Vuik, Cornelis
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浏览/下载:2/0
  |  
提交时间:2020/12/10
Navier-Stokes equations
Stabilized finite element method
Block structured preconditioners
Schur complement approximations
Augmented Lagrangian preconditioner
A Second Order Energy Stable Linear Scheme for a Thin Film Model Without Slope Selection
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 3, 页码: 1905-1937
作者:
Li, Weijia
;
Chen, Wenbin
;
Wang, Cheng
;
Yan, Yue
;
He, Ruijian
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浏览/下载:22/0
  |  
提交时间:2019/08/22
Epitaxial thin film growth
Slope selection
Energy stability
Optimal convergence analysis
Mixed finite element
Optimal Convergence Analysis of a Mixed Finite Element Method for Fourth-Order Elliptic Problems
期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2018, 卷号: 24, 期号: 2, 页码: 510-530
作者:
Yan, Yue
;
Li, Weijia
;
Chen, Wenbin
;
Wang, Yanqiu
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浏览/下载:4/0
  |  
提交时间:2019/08/22
Fourth-order elliptic problems
mixed finite element
optimal convergence
A PRIORI ESTIMATES AND OPTIMAL FINITE ELEMENT APPROXIMATION OF THE MHD FLOW IN SMOOTH DOMAINS
期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2018, 卷号: 52, 页码: 181-206
作者:
He, Yinnian
;
Zou, Jun
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浏览/下载:7/0
  |  
提交时间:2019/11/26
error estimates
MHD flow
a priori estimates
finite element approximations
negative-norm technique
A SPARSE GRID STOCHASTIC COLLOCATION AND FINITE VOLUME ELEMENT METHOD FOR CONSTRAINED OPTIMAL CONTROL PROBLEM GOVERNED BY RANDOM ELLIPTIC EQUATIONS
期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 2, 页码: 310-330
作者:
Ge, Liang
;
Sun, Tongjun
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浏览/下载:2/0
  |  
提交时间:2019/12/11
Optimal control problem
Random elliptic equations
Finite volume
element
Sparse grid
Smolyak approximation
A priori error estimates
Two Mixed Finite Element Methods for Time-Fractional Diffusion Equations
期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 70, 期号: 1, 页码: 407-428
作者:
Zhao, Yanmin
;
Chen, Pan
;
Bu, Weiping
;
Liu, Xiangtao
;
Tang, Yifa
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浏览/下载:19/0
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提交时间:2018/07/30
Mixed finite element methods
L1 method
Time-fractional diffusion equation
Unconditional stability
Superconvergence and convergence
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