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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：91/0  |  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：77/0  |  提交时间：2023/02/07
inverse source problems  regularization  finite element approximation  stochastic error estimates  
AN OSCILLATION-FREE DISCONTINUOUS GALERKIN METHOD FOR SCALAR HYPERBOLIC CONSERVATION LAWS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2021, 卷号: 59, 期号: 3, 页码: 1299-1324
作者:  Lu, Jianfang;  Liu, Yong;  Shu, Chi-Wang
收藏  |  浏览/下载：124/0  |  提交时间：2021/10/26
hyperbolic conservation laws  discontinuous Galerkin  nonoscillatory  optimal error estimates  superconvergence  
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：151/0  |  提交时间：2018/07/30
Maxwell-Schrodinger equations  finite element method  Crank-Nicolson scheme  optimal error estimate  
APPROXIMATING STOCHASTIC EVOLUTION EQUATIONS WITH ADDITIVE WHITE AND ROUGH NOISES 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2017, 卷号: 55, 期号: 4, 页码: 1958-1981
作者:  Cao, Yanzhao;  Hong, Jialin;  Liu, Zhihui
收藏  |  浏览/下载：117/0  |  提交时间：2018/07/30
stochastic evolution equation  fractional Brownian motion  Wong-Zakai approximation  Galerkin approximation  
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  
LOCAL A POSTERIORI ERROR ESTIMATES FOR CONVEX BOUNDARY CONTROL PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 3, 页码: 1886-1908
作者:  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
optimal boundary control  adaptive finite element methods  a posteriori error estimates  
On the convergence of mortar edge element methods in R-3 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2005, 卷号: 43, 期号: 3, 页码: 1276-1294
作者:  Xu, XJ;  Hoppe, RHW
收藏  |  浏览/下载：90/0  |  提交时间：2018/07/30
mortar edge elements  domain decomposition on nonmatching grids  eddy currents equations  
A posteriori error estimates for discontinuous Galerkin time-stepping method for optimal control problems governed by parabolic equations 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2004, 卷号: 42, 期号: 3, 页码: 1032-1061
作者:  Liu, WB;  Ma, HP;  Tang, T;  Yan, NN
收藏  |  浏览/下载：114/0  |  提交时间：2018/07/30
optimal control  a posteriori error analysis  finite element approximation  discontinuous Galerkin method