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Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载：168/0  |  提交时间：2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载：207/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 77, 期号: 2, 页码: 1185-1209
作者:  Wang, Lin;  Yu, Haijun
收藏  |  浏览/下载：141/0  |  提交时间：2018/11/16
Phase field model  Cahn-Hilliard equation  Energy stable  Stabilized semi-implicit scheme  Second order time marching  
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
收藏  |  浏览/下载：153/0  |  提交时间：2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
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：826/150  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
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
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
Analytical decoupling techniques for fully implicit reservoir simulation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 336, 页码: 664-681
作者:  Qiao, Changhe;  Wu, Shuhong;  Xu, Jinchao;  Zhang, Chen-Song
收藏  |  浏览/下载：127/0  |  提交时间：2018/07/30
Reservoir simulation  Fully implicit method  Linear solver  Preconditioner  Decoupling  
Convergence analysis of the rectangular Morley element scheme for second order problem in arbitrary dimensions 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 11, 页码: 2245-2264
作者:  Meng XiangYun;  Yang XueQin;  Zhang Shuo
收藏  |  浏览/下载：97/0  |  提交时间：2018/07/30
d-rectangular Morley element  second order elliptic equation  convergence analysis  super convergence  lower bound estimate