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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：212/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
作者:  Zhang, Wensheng
收藏  |  浏览/下载：170/0  |  提交时间：2019/03/05
3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
Macroscopic damping model for structural dynamics with random polycrystalline configurations 期刊论文
ACTA MECHANICA SINICA, 2018, 卷号: 34, 期号: 3, 页码: 493-506
作者:  Yang, Yantao;  Cui, Junzhi;  Yu, Yifan;  Xiang, Meizhen
收藏  |  浏览/下载：149/0  |  提交时间：2018/07/30
Polycrystalline cluster  Dynamical equation  Damping coefficient  Two-scale homogenization method  Atomic-Continuum Coupled Model  
Fast evaluation and high accuracy finite element approximation for the time fractional subdiffusion equation 期刊论文
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2018, 卷号: 34, 期号: 2, 页码: 705-730
作者:  Ren, Jincheng;  Mao, Shipeng;  Zhang, Jiwei
收藏  |  浏览/下载：155/0  |  提交时间：2018/07/30
fast convolution algorithm  finite element method  fractional subdiffusion equation  fully discrete scheme  superconvergence estimate  
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：149/0  |  提交时间：2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
作者:  Wang, Fei;  Zhang, Shuo
收藏  |  浏览/下载：141/0  |  提交时间：2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element  
Finite difference method for time-space linear and nonlinear fractional diffusion equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 202-217
作者:  Arshad, Sadia;  Bu, Weiping;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
收藏  |  浏览/下载：181/0  |  提交时间：2018/07/30
Fractional diffusion equation  finite difference method  stability and convergence analysis  trapezoidal formula  Riesz derivative  Caputo derivative  
Galerkin finite element method for two-dimensional space and time fractional Bloch-Torrey equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 117-135
作者:  Zhao, Yue;  Bu, Weiping;  Zhao, Xuan;  Tang, Yifa
收藏  |  浏览/下载：159/0  |  提交时间：2018/07/30
Space and time fractional Bloch-Torrey equation  Galerkin finite element method  L2-1(sigma) formula  Stability  Convergence  
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：510/126  |  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：862/156  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound