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ANALYSIS AND APPROXIMATIONS OF DIRICHLET BOUNDARY CONTROL OF STOKES FLOWS IN THE ENERGY SPACE 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 450-474
作者:  Gong, Wei;  Mateos, Mariano;  Singler, John;  Zhang, Yangwen
收藏  |  浏览/下载：118/0  |  提交时间：2022/04/29
Dirichlet boundary control  Stokes flows  energy space  regularity  finite element method  error estimates  
A FOURTH-ORDER UNFITTED CHARACTERISTIC FINITE ELEMENT METHOD FOR SOLVING THE ADVECTION-DIFFUSION EQUATION ON TIME-VARYING DOMAINS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 4, 页码: 2203-2224
作者:  Ma, Chuwen;  Zhang, Qinghai;  Zheng, Weiying
收藏  |  浏览/下载：89/0  |  提交时间：2023/02/07
   unfitted characteristic finite element methods  time-varying domains  moving boundary problems  the advection-diffusion equation  fourth-order error estimates  
STOCHASTIC CONVERGENCE OF REGULARIZED SOLUTIONS AND THEIR FINITE ELEMENT APPROXIMATIONS TO INVERSE SOURCE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 2, 页码: 751-780
作者:  CHEN, Z. H. I. M. I. N. G.;  ZHANG, W. E. N. L. O. N. G.;  ZOU, J. U. N.
收藏  |  浏览/下载：76/0  |  提交时间：2023/02/07
inverse source problems  regularization  finite element approximation  stochastic error estimates  
ON DISCRETE SHAPE GRADIENTS OF BOUNDARY TYPE FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1510-1541
作者:  Gong, Wei;  Zhu, Shengfeng
收藏  |  浏览/下载：136/0  |  提交时间：2021/10/26
shape optimization  shape gradient  boundary formulation  boundary correction  a priori error estimate  finite element  
GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 3, 页码: 1395-1410
作者:  You, Chun'guang;  Xie, Hehu;  Liu, Xuefeng
收藏  |  浏览/下载：147/0  |  提交时间：2020/01/10
Steklov eigenvalue problem  eigenvalue bounds  Crouzeix-Raviart finite element method  verified computing  
STRONG AND WEAK CONVERGENCE RATES OF A SPATIAL APPROXIMATION FOR STOCHASTIC PARTIAL DIFFERENTIAL EQUATION WITH ONE-SIDED LIPSCHITZ COEFFICIENT 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 4, 页码: 1815-1841
作者:  Cui, Jianbo;  Hong, Jialin
收藏  |  浏览/下载：167/0  |  提交时间：2020/01/10
one-sided Lipschitz coefficient  stochastic Allen-Cahn equation  finite element method  strong and weak convergence rate  Kolmogorov equation  Malliavin calculus  
A CRANK-NICOLSON FINITE ELEMENT METHOD AND THE OPTIMAL ERROR ESTIMATES FOR THE MODIFIED TIME-DEPENDENT MAXWELL-SCHRODINGER EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 1, 页码: 369-396
作者:  Ma, Chupeng;  Cao, Liqun
收藏  |  浏览/下载：150/0  |  提交时间：2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
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  
MULTISCALE APPROACH FOR OPTIMAL DESIGN IN CONDUCTIVITY OF COMPOSITE MATERIALS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2015, 卷号: 53, 期号: 3, 页码: 1325-1349
作者:  Liu, Jianjun;  Cao, Liqun;  Yan, Ningning;  Cui, Junzhi
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
optimal design in conductivity  composite materials  homogenization  multiscale asymptotic method  finite element method  the interior point optimizer  
QUASI-OPTIMALITY OF ADAPTIVE NONCONFORMING FINITE ELEMENT METHODS FOR THE STOKES EQUATIONS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2011, 卷号: 49, 期号: 3, 页码: 970-991
作者:  Becker, Roland;  Mao, Shipeng
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality