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A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
作者:  Ma, Chuwen;  Zheng, Weiying
收藏  |  浏览/下载:64/0  |  提交时间:2023/02/07
Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
A class of finite element methods with averaging techniques for solving the three-dimensional drift-diffusion model in semiconductor device simulations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 458, 页码: 24
作者:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
收藏  |  浏览/下载:54/0  |  提交时间:2023/02/07
Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
OnsagerNet: Learning stable and interpretable dynamics using a generalized Onsager principle 期刊论文
PHYSICAL REVIEW FLUIDS, 2021, 卷号: 6, 期号: 11, 页码: 32
作者:  Yu, Haijun;  Tian, Xinyuan;  Weinan, E.;  Li, Qianxiao
收藏  |  浏览/下载:96/0  |  提交时间:2022/04/02
A high-order modified finite-volume method on Cartesian grids for nonlinear convection-diffusion problems 期刊论文
COMPUTATIONAL & APPLIED MATHEMATICS, 2020, 卷号: 39, 期号: 3, 页码: 20
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载:160/0  |  提交时间:2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
Anisotropic Meshes and Stabilization Parameter Design of Linear SUPG Method for 2D Convection-Dominated Convection-Diffusion Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 76, 期号: 1, 页码: 48-68
作者:  Di, Yana;  Xie, Hehu;  Yin, Xiaobo
收藏  |  浏览/下载:169/0  |  提交时间:2018/07/30
Convection-diffusion equation  Stabilization parameter  SUPG  Anisotropic mesh  
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
作者:  Gong, Wei;  Hu, Weiwei;  Mateos, Mariano;  Singler, John;  Zhang, Xiao;  Zhang, Yangwen
收藏  |  浏览/下载:177/0  |  提交时间:2018/10/07
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
作者:  Zhang, Bei;  Chen, Shaochun;  Zhao, Jikun;  Mao, Shipeng
收藏  |  浏览/下载:123/0  |  提交时间: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
作者:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
收藏  |  浏览/下载:122/0  |  提交时间: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
作者:  Ahmed, N.;  Matthies, G.;  Tobiska, L.;  Xie, H.
收藏  |  浏览/下载:144/0  |  提交时间:2018/07/30
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
作者:  Zhou, Zhaojie;  Yan, Ningning
收藏  |  浏览/下载:84/0  |  提交时间:2018/07/30
Local Discontinuous Galerkin method  unsteady convection diffusion equations  constrained optimal control problem  a priori error estimate