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A NEW HDG METHOD FOR DIRICHLET BOUNDARY CONTROL OF CONVECTION DIFFUSION PDEs II: LOW REGULARITY 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 卷号: 56, 期号: 4, 页码: 2262-2287
Authors:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John;  Zhang, Xiao;  Zhang, Yangwen
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Dirichlet boundary control  hybridizable discontinuous Galerkin method (HDG)  error analysis  low regularity  convection diffusion  
A posteriori error analysis of nonconforming finite element methods for convection-diffusion problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2017, 卷号: 321, 页码: 416-426
Authors:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
Favorite  |  View/Download:6/0  |  Submit date:2018/07/30
A posteriori error estimates  Semi-robustness and robustness  Nonconforming quadrilateral finite elements  Convection-diffusion problem  
Robust a posteriori error estimates for conforming and nonconforming finite element methods for convection-diffusion problems 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2015, 卷号: 264, 页码: 346-358
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Robust a posteriori error estimates  Conforming finite element  Nonconforming finite element  Convection diffusion problem  
Discontinuous Galerkin time stepping with local projection stabilization for transient convection-diffusion-reaction problems 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2011, 卷号: 200, 期号: 21-22, 页码: 1747-1756
Authors:  Ahmed, N.;  Matthies, G.;  Tobiska, L.;  Xie, H.
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Discontinuous Galerkin  Stabilized finite elements  Convection-diffusion-reaction equation  
THE LOCAL DISCONTINUOUS GALERKIN METHOD FOR OPTIMAL CONTROL PROBLEM GOVERNED BY CONVECTION DIFFUSION EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2010, 卷号: 7, 期号: 4, 页码: 681-699
Authors:  Zhou, Zhaojie;  Yan, Ningning
Favorite  |  View/Download:3/0  |  Submit date:2018/07/30
Local Discontinuous Galerkin method  unsteady convection diffusion equations  constrained optimal control problem  a priori error estimate  
A RT Mixed FEM/DG Scheme for Optimal Control Governed by Convection Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2009, 卷号: 41, 期号: 2, 页码: 273-299
Authors:  Yan, Ningning;  Zhou, Zhaojie
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Raviart-Thomas mixed FEM  Discontinuous Galerkin method  Convection dominated diffusion equations  Constrained optimal control problem  A priori error estimate  A posteriori error estimate  Adaptive finite element method  
THE COMBINATION TECHNIQUE FOR A TWO-DIMENSIONAL CONVECTION-DIFFUSION PROBLEM WITH EXPONENTIAL LAYERS 期刊论文
APPLICATIONS OF MATHEMATICS, 2009, 卷号: 54, 期号: 3, 页码: 203-223
Authors:  Franz, Sebastian;  Liu, Fang;  Roos, Hans-Goerg;  Stynes, Martin;  Zhou, Aihui
Favorite  |  View/Download:5/0  |  Submit date:2018/07/30
convection-diffusion  finite element  Shishkin mesh  two-scale discretization  
VARIATIONAL DISCRETIZATION FOR OPTIMAL CONTROL GOVERNED BY CONVECTION DOMINATED DIFFUSION EQUATIONS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 237-253
Authors:  Hinze, Michael;  Yan, Ningning;  Zhou, Zhaojie
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Constrained optimal control problem  Convection dominated diffusion equation  Edge stabilization Galerkin method  Variational discretization  A priori error estimate  A posteriori error estimate  
A priori and a posteriori error analysis of edge stabilization Galerkin method for the optimal control problem governed by convection-dominated diffusion equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 223, 期号: 1, 页码: 198-217
Authors:  Yan, Ningning;  Zhou, Zhaojie
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Constrained optimal-control problem  Convection-dominated diffusion equation  Edge-stabilization Galerkin method  A priori error estimate  A posteriori error estimate  
A posteriori error estimates of constrained optimal control problem governed by convection diffusion equations 期刊论文
FRONTIERS OF MATHEMATICS IN CHINA, 2008, 卷号: 3, 期号: 3, 页码: 415-442
Authors:  Yan, Ningning;  Zhou, Zhaojie
Favorite  |  View/Download:4/0  |  Submit date:2018/07/30
Constrained optimal control problem  convection dominated diffusion equation  edge stabilization Galerkin method  a posteriori error estimate