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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
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Anisotropic diffusion  Positivity  Vertex unknowns  Least square  
Stability of Transonic Contact Discontinuity for Two-Dimensional Steady Compressible Euler Flows in a Finitely Long Nozzle 期刊论文
ANNALS OF PDE, 2021, 卷号: 7, 期号: 2, 页码: 96
Authors:  Huang, Feimin;  Kuang, Jie;  Wang, Dehua;  Xiang, Wei
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Transonic flow  Contact discontinuity  Free boundary  Compressible Euler flow  Finitely long nozzle  
An inverse averaging finite element method for solving three-dimensional Poisson-Nernst-Planck equations in nanopore system simulations 期刊论文
JOURNAL OF CHEMICAL PHYSICS, 2021, 卷号: 155, 期号: 19, 页码: 13
Authors:  Zhang, Qianru;  Wang, Qin;  Zhang, Linbo;  Lu, Benzhuo
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Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
Authors:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
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extended Loop subdivision  geometric flows  isogeometric analysis  
Numerical Schemes for Time-Space Fractional Vibration Equations 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2021, 卷号: 13, 期号: 4, 页码: 806-826
Authors:  Zhang, Jingna;  Aleroev, Temirkhan S.;  Tang, Yifa;  Huang, Jianfei
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Time-space fractional vibration equations  ADI scheme  stability  convergence  
Unconditionally positivity preserving and energy dissipative schemes for Poisson-Nernst-Planck equations 期刊论文
NUMERISCHE MATHEMATIK, 2021, 页码: 27
Authors:  Shen, Jie;  Xu, Jie
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65M12  35K61  35K55  65Z05  70F99  
The immersed boundary-lattice Boltzmann method for solving solid-fluid interaction problem with Navier-slip boundary condition 期刊论文
COMPUTERS & FLUIDS, 2021, 卷号: 217, 页码: 10
Authors:  Wang, Zhenyu;  He, Qiaolin;  Huang, Jizu
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Solid-fluid interaction problem  Lattice Boltzmann equations  Navier-slip boundary condition  Immerse boundary method  
A linearized ADI scheme for two-dimensional time-space fractional nonlinear vibration equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2021, 页码: 15
Authors:  Zhang, Jingna;  Huang, Jianfei;  Aleroev, Temirkhan S.;  Tang, Yifa
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Time-space fractional nonlinear vibration equations  two dimensions  linearized ADI scheme  stability  convergence  
Central discontinuous Galerkin methods on overlapping meshes for wave equations 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 329-356
Authors:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
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Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
Analysis of the second-order BDF scheme with variable steps for the molecular beam epitaxial model without slope selection 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 16
Authors:  Liao, Hong-Lin;  Song, Xuehua;  Tang, Tao;  Zhou, Tao
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molecular beam epitaxial growth  variable-step BDF2 scheme  discrete orthogonal convolution kernels  energy stability  convergence analysis