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Convergence of adaptive nonconforming finite element method for Stokes optimal control problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2022, 卷号: 412, 页码: 23
作者:  Shen, Yue;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：75/0  |  提交时间：2023/02/07
Optimal control problem  Stokes equations  Control constraints  Adaptive nonconforming finite element method  Convergence and quasi-optimality  
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：113/0  |  提交时间：2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
MiKM: multi-step inertial Krasnosel'skii-Mann algorithm and its applications 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2019, 卷号: 73, 期号: 4, 页码: 801-824
作者:  Dong, Q. L.;  Huang, J. Z.;  Li, X. H.;  Cho, Y. J.;  Rassias, Th. M.
收藏  |  浏览/下载：155/0  |  提交时间：2020/01/10
Nonexpansive operator  Multi-step inertial Krasnosel'skii-Mann algorithm  Monotone inclusion  Bounded perturbation resilience  Douglas-Rachford splitting method  Forward-backward splitting method  Backward-forward splitting method  Davis-Yin splitting method  
The Boltzmann equation with large-amplitude initial data in bounded domains 期刊论文
ADVANCES IN MATHEMATICS, 2019, 卷号: 343, 页码: 36-109
作者:  Duan, Renjun;  Wang, Yong
收藏  |  浏览/下载：253/0  |  提交时间：2019/03/05
Boltzmann equation  Global well-posedness  Bounded domain  Large-amplitude initial data  Diffuse reflection boundary  A priori estimate  
SECOND-ORDER TWO-SCALE ANALYSIS METHOD FOR DYNAMIC THERMO-MECHANICAL PROBLEMS OF COMPOSITE STRUCTURES WITH CYLINDRICAL PERIODICITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 6, 页码: 834-863
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Yang, Zihao;  Wang, Ziqiang
收藏  |  浏览/下载：172/0  |  提交时间：2019/03/05
Dynamic thermo-mechanical problem  multiscale asymptotic analysis  composite structure  cylindrical periodicity  SOTS numerical algorithm  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
作者:  Zhang, Shangyou;  Zhang, Shuo
浏览  |  Adobe PDF(1589Kb)  |  收藏  |  浏览/下载：551/134  |  提交时间：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：931/166  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Adaptive finite element method for elliptic optimal control problems: convergence and optimality 期刊论文
NUMERISCHE MATHEMATIK, 2017, 卷号: 135, 期号: 4, 页码: 1121-1170
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：123/0  |  提交时间：2018/07/30
Second-order two-scale analysis and numerical algorithm for the damped wave equations of composite materials with quasi-periodic structures 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2017, 卷号: 298, 页码: 201-220
作者:  Dong, Hao;  Nie, Yufeng;  Cui, Junzhi;  Wu, Yatao;  Yang, Zihao
收藏  |  浏览/下载：133/0  |  提交时间：2018/07/30
Multiscale asymptotic analysis  Damped wave equations  Quasi-periodic structure  Second-order two-scale numerical method  Newmark scheme  
Second-order two-scale analysis and numerical algorithms for the hyperbolic-parabolic equations with rapidly oscillating coefficients 期刊论文
CHINESE PHYSICS B, 2015, 卷号: 24, 期号: 9, 页码: 14
作者:  Dong Hao;  Nie Yu-Feng;  Cui Jun-Zhi;  Wu Ya-Tao
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
hyperbolic-parabolic equations  rapidly oscillating coefficients  second-order two-scale numerical method  Newmark scheme