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PLANAR VORTICES IN A BOUNDED DOMAIN WITH A HOLE 期刊论文
ELECTRONIC RESEARCH ARCHIVE, 2021, 卷号: 29, 期号: 6, 页码: 4229-4241
作者:  Yan, Shusen;  Yu, Weilin
收藏  |  浏览/下载：133/0  |  提交时间：2022/04/02
The Euler flow  semilinear elliptic equation  variational method  free boundary problem  reduction  
GLOBAL SOLUTIONS OF A TWO-DIMENSIONAL RIEMANN PROBLEM FOR THE PRESSURE GRADIENT SYSTEM 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2021, 卷号: 20, 期号: 7-8, 页码: 2475-2503
作者:  Chen, Gui-qiang G.;  Wang, Q. I. N.;  Zhu, S. H. E. N. G. G. U. O.
收藏  |  浏览/下载：138/0  |  提交时间：2021/10/26
Two-dimensional Riemann problems  global solutions  pressure gradient system  Euler equations  hyperbolic conservation laws  mixed type  degenerate elliptic equations  shocks  transonic shock  vortex sheets  free boundary problem  
Two-scale and three-scale asymptotic computations of the Neumann-type eigenvalue problems for hierarchically perforated materials 期刊论文
APPLIED MATHEMATICAL MODELLING, 2021, 卷号: 92, 页码: 565-593
作者:  Ma, Qiang;  Ye, Shuyu;  Cui, Junzhi;  Yang, Zhiqiang;  Jiang, Xue;  Li, Zhihui
收藏  |  浏览/下载：156/0  |  提交时间：2021/04/26
Hierarchically perforated structure  Successive two-scale asymptotic analysis  Neumann-type elliptic eigenvalue problem  Second-order two-scale and three-scale  asymptotic computations  Finite element simulation  
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：153/0  |  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 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：207/0  |  提交时间：2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
Convergence and quasi-optimality of an adaptive finite element method for elliptic Robin boundary control problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 356, 页码: 1-21
作者:  Shen, Yue;  Yan, Ningning;  Zhou, Zhaojie
收藏  |  浏览/下载：189/0  |  提交时间：2020/01/10
Elliptic optimal control problem  Robin boundary control  Adaptive finite element method  Convergence and quasi-optimality  
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Ziyuan;  Yang, Zhijian
收藏  |  浏览/下载：162/0  |  提交时间：2020/01/10
Least-squares reconstruction  Discontinuous Galerkin method  Elliptic problem  
A robust optimal preconditioner for the mixed finite element discretization of elliptic optimal control problems 期刊论文
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2018, 卷号: 25, 期号: 1, 页码: 17
作者:  Gong, Wei;  Tan, Zhiyu;  Zhang, Shuo
收藏  |  浏览/下载：145/0  |  提交时间：2018/07/30
elliptic equation  mixed finite element method  optimal control problem  optimal preconditioner  
A FULL MULTIGRID METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2017, 卷号: 62, 期号: 3, 页码: 225-241
作者:  Xu, Fei;  Xie, Hehu
收藏  |  浏览/下载：93/0  |  提交时间：2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
The local ultraconvergence for high-degree Galerkin finite element methods 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 446, 期号: 1, 页码: 62-86
作者:  He, Wen-ming;  Cui, Junzhi;  Shen, Jiangman
收藏  |  浏览/下载：108/0  |  提交时间：2018/07/30
Elliptic problem  Ultraconvergence  Derivative recovery operator  Displacement  Derivative