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A Positivity-Preserving Finite Volume Scheme with Least Square Interpolation for 3D Anisotropic Diffusion Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 3, 页码: 25
Authors:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
Favorite  |  View/Download:18/0  |  Submit date:2022/04/02
Anisotropic diffusion  Positivity  Vertex unknowns  Least square  
Generalized linking theorem with applications to nonautonomous Hamiltonian systems and Dirac equations on compact spin manifold 期刊论文
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2021, 卷号: 23, 期号: 06, 页码: 25
Authors:  Liu, Yanyan;  Li, Chong;  Li, Shujie
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Strongly indefinite superlinear problem  prescribed number of nontrivial solutions  nonautonomous Hamiltonian systems  Dirac equations on compact spin manifold  
An Adaptive Threshold Dynamics Method for Three-Dimensional on Surfaces 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 29, 期号: 1, 页码: 57-79
Authors:  Xu, Xianmin;  Ying, Wenjun
Favorite  |  View/Download:37/0  |  Submit date:2021/04/26
Adaptive  threshold dynamics method  wetting  
STOCHASTIC HEAT EQUATIONS FOR INFINITE STRINGS WITH VALUES IN A MANIFOLD 期刊论文
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 卷号: 374, 期号: 1, 页码: 407-452
Authors:  Chen, Xin;  Wu, Bo;  Zhu, Rongchan;  Zhu, Xiangchan
Favorite  |  View/Download:41/0  |  Submit date:2021/04/26
Stochastic heat equation  Ricci Curvature  functional inequality  quasi-regular Dirichlet form  infinite volume  
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
Authors:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
Favorite  |  View/Download:64/0  |  Submit date:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
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
Authors:  Du, Yulong;  Wang, Yahui;  Yuan, Li
Favorite  |  View/Download:50/0  |  Submit date:2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
High-order Numerical Quadratures in a Tetrahedron with an Implicitly Defined Curved Interface 期刊论文
ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 2020, 卷号: 46, 期号: 1, 页码: 18
Authors:  Cui, Tao;  Leng, Wei;  Liu, Huaqing;  Zhang, Linbo;  Zheng, Weiying
Favorite  |  View/Download:42/0  |  Submit date:2021/01/14
Quadrature  tetrahedral mesh  curved surface  extended finite element  high order  
Numerical simulations of one laser-plasma model based on Poisson structure 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 405, 页码: 20
Authors:  Li, Yingzhe;  Sun, Yajuan;  Crouseilles, Nicolas
Favorite  |  View/Download:50/0  |  Submit date:2020/05/24
Laser-plasma interaction  Vlasov-Maxwell system  Poisson bracket  Hamiltonian splitting  Conservative splitting  
Numerical simulations of polymer flooding process in porous media on distributed-memory parallel computers 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2020, 卷号: 400, 页码: 23
Authors:  Zhong, He;  Liu, Hui;  Cui, Tao;  Chen, Zhangxin;  Shen, Lihua;  Yang, Bo;  He, Ruijian;  Guo, Xiaohu
Favorite  |  View/Download:52/0  |  Submit date:2020/05/24
High performance computing  Polymer flooding  Water flooding  Speedup  
A novel semi-discrete scheme preserving uniformly exponential stability for an Euler-Bernoulli beam 期刊论文
SYSTEMS & CONTROL LETTERS, 2019, 卷号: 134, 页码: 10
Authors:  Liu, Jiankang;  Guo, Bao-Zhu
Favorite  |  View/Download:43/0  |  Submit date:2020/05/24
Beam equation  Finite volume method  Finite difference method  Exponential stability  Uniform approximation