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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:87/0  |  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  
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:164/0  |  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  
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:100/0  |  提交时间:2018/07/30
adaptive finite element methods  Stokes equations  nonconforming finite element methods  convergence  optimality  
A CONVERGENT NONCONFORMING ADAPTIVE FINITE ELEMENT METHOD WITH QUASI-OPTIMAL COMPLEXITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4639-4659
作者:  Becker, Roland;  Mao, Shipeng;  Shi, Zhongci
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
adaptive methods  nonconforming finite elements  a posteriori error estimation  convergence rate  computational complexity  
LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2010, 卷号: 47, 期号: 6, 页码: 4492-4516
作者:  Chen, Huangxin;  Xu, Xuejun
收藏  |  浏览/下载:89/0  |  提交时间:2018/07/30
multilevel methods  local smoothers  adaptive finite element methods  nonsymmetric and indefinite  optimality  
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:91/0  |  提交时间:2018/07/30
optimal boundary control  adaptive finite element methods  a posteriori error estimates  
A SADDLE POINT APPROACH TO THE COMPUTATION OF HARMONIC MAPS 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 卷号: 47, 期号: 2, 页码: 1500-1523
作者:  Hu, Qiya;  Tai, Xue-Cheng;  Winther, Ragnar
收藏  |  浏览/下载:97/0  |  提交时间:2018/07/30
harmonic maps  nonlinear constraints  saddle point problems  error estimates  
LOWER ORDER RECTANGULAR NONCONFORMING MIXED FINITE ELEMENTS FOR PLANE ELASTICITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2007, 卷号: 46, 期号: 1, 页码: 88-102
作者:  Hu, Jun;  Shi, Zhong-Ci
收藏  |  浏览/下载:100/0  |  提交时间:2018/07/30
mixed method  nonconforming finite element  elasticity  rectangular  
Asymptotic expansions and Richardson extrapolation of approximate solutions for second order elliptic problems on rectangular domains by mixed finite element methods 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 3, 页码: 1122-1149
作者:  Fairweather, Graeme;  Lin, Qun;  Lin, Yanping;  Wang, Junping;  Zhang, Shuhua
收藏  |  浏览/下载:93/0  |  提交时间:2018/07/30
second order elliptic problems  mixed finite element methods  asymptotic expansions  interpolation postprocessing  a posteriori error estimators  
On a parallel Robin-type nonoverlapping domain decomposition method 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2006, 卷号: 44, 期号: 6, 页码: 2539-2558
作者:  Qin, Lizhen;  Xu, Xuejun
收藏  |  浏览/下载:87/0  |  提交时间:2018/07/30
nonconforming finite elements  nonoverlapping domain decomposition  convergence rate  geometric convergence