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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:196/0  |  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  
ASYMPTOTIC ANALYSIS OF NONLINEAR ROBIN-TYPE BOUNDARY VALUE PROBLEMS WITH SMALL PERIODIC STRUCTURE 期刊论文
MULTISCALE MODELING & SIMULATION, 2021, 卷号: 19, 期号: 2, 页码: 830-845
作者:  Ye, Changqing;  Cui, Junzhi;  Dong, Hao
收藏  |  浏览/下载:183/0  |  提交时间:2021/10/26
elliptic hemivariational inequality  homogenization  finite element method  error estimates  contact problems  Robin problems  
Adaptive Multilevel Correction Method for Finite Element Approximations of Elliptic Optimal Control Problems 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2017, 卷号: 72, 期号: 2, 页码: 820-841
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:164/0  |  提交时间:2018/07/30
Optimal control problems  Elliptic equation  Control constraints  A posteriori error estimates  Adaptive finite element method  Multilevel correction method  
A MULTILEVEL CORRECTION METHOD FOR OPTIMAL CONTROLS OF ELLIPTIC EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 卷号: 37, 期号: 5, 页码: A2198-A2221
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载:179/0  |  提交时间:2018/07/30
optimal control problems  elliptic equation  control constraints  finite element method  multilevel correction method  
A posteriori error estimator for eigenvalue problems by mixed finite element method 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 5, 页码: 887-900
作者:  Jia ShangHui;  Chen HongTao;  Xie HeHu
收藏  |  浏览/下载:137/0  |  提交时间:2021/01/14
SUPERCONVERGENCE RESULT  ELLIPTIC PROBLEMS  APPROXIMATION  CONVERGENCE  second order elliptic eigenvalue problem  mixed finite element method  Raviart-Thomas  a posteriori error estimate  adaptive  
HETEROGENEOUS MULTISCALE FINITE ELEMENT METHOD WITH NOVEL NUMERICAL INTEGRATION SCHEMES 期刊论文
COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2010, 卷号: 8, 期号: 4, 页码: 863-885
作者:  Du, Rui;  Ming, Pingbing
收藏  |  浏览/下载:124/0  |  提交时间:2018/07/30
Heterogeneous multiscale method  finite element method  numerical integration schemes  elliptic homogenization problems  
A two-order and two-scale computation method for nonselfadjoint elliptic problems with rapidly oscillatory coefficients 期刊论文
APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2009, 卷号: 30, 期号: 12, 页码: 1579-1588
作者:  Su, Fang;  Cui, Jun-zhi;  Xu, Zhan
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
nonselfadjoint elliptic problems  rapidly oscillatory coefficients  two-order and two-scale finite element method  
The adaptive immersed interface finite element method for elliptic and Maxwell interface problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2009, 卷号: 228, 期号: 14, 页码: 5000-5019
作者:  Chen, Zhiming;  Xiao, Yuanming;  Zhang, Linbo
收藏  |  浏览/下载:137/0  |  提交时间:2018/07/30
Adaptive finite element method  Interface problems  Non-body-fitted meshes  Elliptic equation  Maxwell's equations  
Multiscale numerical algorithm for the elliptic eigenvalue problem with the mixed boundary in perforated domains 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2008, 卷号: 58, 期号: 9, 页码: 1349-1374
作者:  Cao, Li-Qun;  Luo, Jian-Lan
收藏  |  浏览/下载:132/0  |  提交时间:2018/07/30
homogenization  asymptotic expansion  elliptic eigenvalue problems  perforated domain  finite element method  
On the convergence of the nonnested V-cycle multigrid method for nonsymmetric and indefinite second-order elliptic problems 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 2, 页码: 157-168
作者:  Duan, HY;  Lin, Q
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
nonnested V-cycle multigrid method  second-order elliptic problems