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Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载:171/0  |  提交时间:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics 期刊论文
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2020, 页码: 35
作者:  Guo, Zongming;  Li, Jiayu;  Wan, Fangshu
收藏  |  浏览/下载:163/0  |  提交时间:2020/09/23
Semilinear elliptic equation  asymptotic behavior  conical metric  isolated singularity  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载:156/0  |  提交时间:2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
A NOTE ON STEADY VORTEX FLOWS IN TWO DIMENSIONS 期刊论文
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 卷号: 148, 期号: 3, 页码: 1153-1159
作者:  Cao, Daomin;  Wang, Guodong
收藏  |  浏览/下载:180/0  |  提交时间:2020/05/24
Euler equations  steady vortex flow  semilinear elliptic equation  stream function  
A BALANCED OVERSAMPLING FINITE ELEMENT METHOD FOR ELLIPTIC PROBLEMS WITH OBSERVATIONAL BOUNDARY DATA 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2020, 卷号: 38, 期号: 2, 页码: 355-374
作者:  Chen, Zhiming;  Tuo, Rui;  Zhang, Wenlong
收藏  |  浏览/下载:144/0  |  提交时间:2020/05/24
Observational boundary data  Elliptic equation  Sub-Gaussian random variable  
Well-Posedness and Finite Element Approximations for Elliptic SPDEs with Gaussian Noises 期刊论文
数学研究通讯:英文版, 2020, 卷号: 36.0, 期号: 002, 页码: 113-127
作者:  Yanzhao Cao;  Jialin Hong;  Zhihui Liu
收藏  |  浏览/下载:172/0  |  提交时间:2021/01/14
Elliptic  stochastic  partial  differential  equation  spectral  approximations  finite  element  approximations  power-law  noise  
DESINGULARIZATION OF VORTICES FOR TWO-DIMENSIONAL STEADY EULER FLOWS VIA THE VORTICITY METHOD 期刊论文
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2020, 卷号: 52, 期号: 6, 页码: 5363-5388
作者:  Cao, Daomin;  Wang, Guodong;  Zhan, Weicheng
收藏  |  浏览/下载:148/0  |  提交时间:2021/04/26
desingularization of vortices  2D Euler flow  vorticity method  nonlinear stability