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A splitting semi-implicit Euler method for stochastic incompressible Euler equations on T-2 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 页码: 29
作者:  Hong, Jialin;  Sheng, Derui;  Zhou, Tau
收藏  |  浏览/下载:63/0  |  提交时间:2023/02/07
stochastic incompressible Euler equation  convergence order  splitting semi-implicit Euler method  
Analysis of a Galerkin finite element method for the Maxwell-Schrodinger system under temporal gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 23
作者:  Ma, Chupeng;  Zhang, Yongwei;  Cao, Liqun
收藏  |  浏览/下载:109/0  |  提交时间:2022/06/21
error estimates  Galerkin finite element methods  time stepping scheme  Maxwell-Schrodinger  
An adaptive edge finite element DtN method for Maxwell's equations in biperiodic structures 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2021, 页码: 35
作者:  Jiang, Xue;  Li, Peijun;  Lv, Junliang;  Wang, Zhoufeng;  Wu, Haijun;  Zheng, Weiying
收藏  |  浏览/下载:136/0  |  提交时间:2022/04/02
Maxwell's equations  diffractive grating problem  biperiodic structures  adaptive finite element method  transparent boundary condition  a posteriori error estimate  
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:137/0  |  提交时间:2021/04/26
Dirichlet boundary control  parabolic equation  finite element method  maximal L-p-regularity  
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:206/0  |  提交时间:2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载:151/0  |  提交时间:2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
Finite element approximations for second-order stochastic differential equation driven by fractional Brownian motion 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 1, 页码: 184-197
作者:  Cao, Yanzhao;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载:152/0  |  提交时间:2018/07/30
stochastic differential equation of boundary value type  fractional Brownian motion  piecewise constant approximation  finite element approximation  
Mean-square convergence of a symplectic local discontinuous Galerkin method applied to stochastic linear Schrodinger equation 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2017, 卷号: 37, 期号: 2, 页码: 1041-1065
作者:  Chen, Chuchu;  Hong, Jialin;  Ji, Lihai
收藏  |  浏览/下载:123/0  |  提交时间:2018/07/30
symplectic method  local discontinuous Galerkin method  stochastic linear Schrodinger equation  L-2-stability  charge conservation law  mean-square convergence  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载:116/0  |  提交时间:2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
Componentwise error bounds for linear complementarity problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2011, 卷号: 31, 期号: 1, 页码: 348-357
作者:  Wang, Zhengyu;  Yuan, Ya-Xiang
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
error bound  linear complementarity problem  convex quadratic programming