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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
作者:  Xie, Hui;  Xu, Xuejun;  Zhai, Chuanlei;  Yong, Heng
收藏  |  浏览/下载：116/0  |  提交时间：2022/04/02
Anisotropic diffusion  Positivity  Vertex unknowns  Least square  
Subdivision based isogeometric analysis for geometric flows 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2021, 页码: 24
作者:  Pan, Qing;  Rabczuk, Timon;  Chen, Chong
收藏  |  浏览/下载：116/0  |  提交时间：2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
An adaptive high-order unfitted finite element method for elliptic interface problems 期刊论文
NUMERISCHE MATHEMATIK, 2021, 卷号: 149, 期号: 3, 页码: 507-548
作者:  Chen, Zhiming;  Li, Ke;  Xiang, Xueshuang
收藏  |  浏览/下载：123/0  |  提交时间：2022/04/02
65N30  
Energy Stable Nodal Discontinuous Galerkin Methods for Nonlinear Maxwell's Equations in Multi-dimensions 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 42
作者:  Lyu, Maohui;  Bokil, Vrushali A.;  Cheng, Yingda;  Li, Fengyan
收藏  |  浏览/下载：124/0  |  提交时间：2022/04/02
Maxwell's equations  Kerr and Raman nonlinear effects  Linear Lorentz  Nodal discontinuous Galerkin methods  Energy stable  High dimensions  
Fixing the Residual Flattening of an Upwind Compact Scheme for Steady Incompressible Flows in Enclosed Domains 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 4, 页码: 708-731
作者:  Wang, Yunchu;  Yuan, Li
收藏  |  浏览/下载：109/0  |  提交时间：2022/04/02
Incompressible Navier-Stokes equations  artificial compressibility  upwind compact difference  convergence  enclosed domain  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载：98/0  |  提交时间：2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
Computable Interpolation Error Constants for the Geometric Simplex Finite Elements 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 87, 期号: 1, 页码: 21
作者:  Hao, Tingting;  Guan, Xiaofei;  Mao, Shipeng;  Chen, Shaochun
收藏  |  浏览/下载：153/0  |  提交时间：2021/04/26
Error Estimation  Interpolation error constants  Geometric simplex meshes  Finite element methods  
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
作者:  Liu, Yong;  Lu, Jianfang;  Shu, Chi-Wang;  Zhang, Mengping
收藏  |  浏览/下载：125/0  |  提交时间：2021/04/26
Optimal error estimates  central DG method  second order wave equation  dispersion analysis  
A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 63-92
作者:  Fan, Huijun;  Zhao, Yanmin;  Wang, Fenling;  Shi, Yanhua;  Tang, Yifa
收藏  |  浏览/下载：173/0  |  提交时间：2021/01/14
Nonconforming mixed FEM  multi-term time-fractional mixed diffusion and diffusion-wave equations  L1 time-stepping method  Crank-Nicolson scheme  convergence and superconvergence  
A numerical method for two-dimensional multi-term time-space fractional nonlinear diffusion-wave equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 159, 页码: 159-173
作者:  Huang, Jianfei;  Zhang, Jingna;  Arshad, Sadia;  Tang, Yifa
收藏  |  浏览/下载：199/0  |  提交时间：2021/01/14
Multi-term time-space derivatives  Fractional nonlinear diffusion-wave equations  Finite difference schemes  Stability  Convergence  Fast ADI scheme