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A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 卷号: 19, 期号: 4, 页码: 542-562
作者:  Zhai, Fangman;  Cao, Liqun
收藏  |  浏览/下载：63/0  |  提交时间：2023/02/07
Parabolic integro-differential equation  the multiscale asymptotic method  Laplace transformation  composite media  
Improved error estimates for semidiscrete finite element solutions of parabolic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 4, 页码: 2898-2939
作者:  Gong, Wei;  Li, Buyang
收藏  |  浏览/下载：141/0  |  提交时间：2021/04/26
Dirichlet boundary control  parabolic equation  finite element method  maximal L-p-regularity  
Existence of solution to parabolic equations with mixed boundary condition on non-cylindrical domains 期刊论文
JOURNAL OF DIFFERENTIAL EQUATIONS, 2018, 卷号: 265, 期号: 6, 页码: 2648-2670
作者:  Kim, Tujin;  Cao, Daomin
收藏  |  浏览/下载：185/0  |  提交时间：2018/07/30
Parabolic equation  Non-cylindrical domain  Mixed boundary condition  Existence  
Adaptive finite element method for parabolic equations with Dirac measure 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 328, 页码: 217-241
作者:  Gong, Wei;  Liu, Huipo;  Yan, Ningning
收藏  |  浏览/下载：130/0  |  提交时间：2018/07/25
Parabolic equation  Dirac measure  Adaptive finite element method  Space-time discretization  A posteriori error estimates  
The Landis-Oleinik conjecture in the exterior domain 期刊论文
ADVANCES IN MATHEMATICS, 2016, 卷号: 302, 页码: 190-230
作者:  Wu, Jie;  Zhang, Liqun
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
Carleman estimates  Unique continuation  Backward uniqueness  Landis and Oleinik  Parabolic equation  
Holder continuity for parabolic Anderson equation with non-Gaussian noise 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 卷号: 441, 期号: 2, 页码: 684-691
作者:  Cui, Jianbo;  Liu, Zhihui;  Miao, Lijun;  Wang, Xu
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Parabolic Anderson equation  Non-Gaussian noise  Holder continuity  
Finite Element Method and A Priori Error Estimates for Dirichlet Boundary Control Problems Governed by Parabolic PDEs 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 3, 页码: 941-967
作者:  Gong, Wei;  Hinze, Michael;  Zhou, Zhaojie
收藏  |  浏览/下载：151/0  |  提交时间：2018/07/30
Optimal control problem  Parabolic equation  Finite element method  A priori error estimate  Dirichlet boundary control  
FINITE ELEMENT APPROXIMATIONS OF PARABOLIC OPTIMAL CONTROL PROBLEMS WITH CONTROLS ACTING ON A LOWER DIMENSIONAL MANIFOLD 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2016, 卷号: 54, 期号: 2, 页码: 1229-1262
作者:  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
finite element method  parabolic equation  optimal control problem  moving manifold  fully discrete error estimates  
GLOBAL AND BLOW-UP SOLUTIONS FOR NONLINEAR PARABOLIC EQUATIONS WITH A GRADIENT TERM 期刊论文
HOUSTON JOURNAL OF MATHEMATICS, 2011, 卷号: 37, 期号: 4, 页码: 1265-1277
作者:  Ding, Juntang;  Guo, Bao-Zhu
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Parabolic equation  gradient term  global solution  blow-up solution  
Blow-up and global existence for nonlinear parabolic equations with Neumann boundary conditions 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 卷号: 60, 期号: 3, 页码: 670-679
作者:  Ding, Juntang;  Guo, Bao-Zhu
收藏  |  浏览/下载：89/0  |  提交时间：2018/07/30
Parabolic equation  Global solution  Blow-up solution  Neumann boundary condition