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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
Favorite  |  View/Download:14/0  |  Submit date:2022/04/02
High-order three-scale computational method for elastic behavior analysis and strength prediction of axisymmetric composite structures with multiple spatial scales 期刊论文
MATHEMATICS AND MECHANICS OF SOLIDS, 2021, 卷号: 26, 期号: 6, 页码: 905-936
Authors:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Jin, Ke;  Guan, Xiaofei;  Yang, Zihao
Favorite  |  View/Download:31/0  |  Submit date:2021/10/26
Multiscale asymptotic analysis  mechanical behaviors  axisymmetric composite structures  micro-meso-macro coupled model  HOTS numerical algorithm  
A finite element method for Allen-Cahn equation on deforming surface 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 90, 页码: 148-158
Authors:  Olshanskii, Maxim;  Xu, Xianmin;  Yushutin, Vladimir
Favorite  |  View/Download:27/0  |  Submit date:2021/10/26
Allen-Cahn  Surface PDEs  Evolving surfaces  Trace FEM  Geodesic mean curvature flow  
An advanced ALE-mixed finite element method for a cardiovascular fluid-structure interaction problem with multiple moving interfaces 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2021, 卷号: 50, 页码: 13
Authors:  Sun, Pengtao;  Zhang, Chen-Song;  Lan, Rihui;  Li, Lin
Favorite  |  View/Download:19/0  |  Submit date:2022/04/02
Arbitrary Lagrangian-Eulerian (ALE) mapping  Mixed finite element method  Fluid-structure interaction (FSI)  Cardiovascular environment  Saddle-point linear algebraic system  Multi-domain  interface interactions  Vascular aneurysm  Endovascular stent graft  
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
Authors:  Fan, Huijun;  Zhao, Yanmin;  Wang, Fenling;  Shi, Yanhua;  Tang, Yifa
Favorite  |  View/Download:67/0  |  Submit date: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  
WELL-POSEDNESS AND THE MULTISCALE ALGORITHM FOR HETEROGENEOUS SCATTERING OF MAXWELL'S EQUATIONS IN DISPERSIVE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2021, 卷号: 18, 期号: 2, 页码: 235-264
Authors:  Zhang, Yongwei;  Cao, Liqun;  Shi, Dongyang
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Maxwell's equations  dispersive medium  well-posedness  the multiscale asymptotic expansion  finite element method  
High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2020, 卷号: 12, 期号: 2, 页码: 599-642
Authors:  Dong, Hao;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zihao;  Yang, Ziqiang
Favorite  |  View/Download:46/0  |  Submit date:2020/05/24
Multiscale asymptotic analysis  thermoelastic problems  axisymmetric composite structures  multiple spatial scales  HOTS numerical algorithm  
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 页码: 27
Authors:  Lu, Peipei;  Wu, Haijun;  Xu, Xuejun
Favorite  |  View/Download:48/0  |  Submit date:2020/05/24
Time-harmonic Maxwell equation  High wave number  Continuous interior penalty finite element method  Error estimates  
High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
Authors:  Wang, Fenling;  Zhao, Yanmin;  Shi, Zhengguang;  Shi, Yanhua;  Tang, Yifa
Favorite  |  View/Download:59/0  |  Submit date:2020/01/10
Time fractional wave equation  anisotropic nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  stability  superclose and superconvergence  
High-order three-scale computational method for dynamic thermo-mechanical problems of composite structures with multiple spatial scales 期刊论文
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2019, 卷号: 169, 页码: 95-121
Authors:  Dong, Hao;  Zheng, Xiaojing;  Cui, Junzhi;  Nie, Yufeng;  Yang, Zhiqiang;  Yang, Zihao
Favorite  |  View/Download:62/0  |  Submit date:2020/01/10
Multiscale asymptotic analysis  Dynamic thermo-mechanical problems  Micro-meso-macro HOTS solutions  HOTS numerical algorithm  Multiple spatial scales