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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  
A Fully Divergence-Free Finite Element Scheme for Stationary Inductionless Magnetohydrodynamic Equations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 2, 页码: 30
作者:  Zhang, Xiaodi;  Wang, Xiaorong
收藏  |  浏览/下载：107/0  |  提交时间：2022/04/02
Mixed finite element method  Divergence-free  Inductionless MHD equations  Conservation of charge and mass  
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：112/0  |  提交时间：2022/04/02
extended Loop subdivision  geometric flows  isogeometric analysis  
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：114/0  |  提交时间：2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
Optimal rotated block-diagonal preconditioning for discretized optimal control problems constrained with fractional time-dependent diffusive equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2021, 卷号: 163, 页码: 126-146
作者:  Bai, Zhong-Zhi;  Lu, Kang-Ya
收藏  |  浏览/下载：149/0  |  提交时间：2021/04/26
Fractional optimal control problem  Numerical discretizations  Block two-by-two linear system  Preconditioning  Spectral bounds  Krylov subspace iteration methods  Convergence property  
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
作者:  Sun, Pengtao;  Zhang, Chen-Song;  Lan, Rihui;  Li, Lin
收藏  |  浏览/下载：117/0  |  提交时间：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  
Convergence rate of multiscale finite element method for various boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 卷号: 374, 页码: 8
作者:  Ye, Changqing;  Dong, Hao;  Cui, Junzhi
收藏  |  浏览/下载：145/0  |  提交时间：2020/05/24
Multiscale finite element method  Boundary problems  Hemivariational inequality  Homogenization theory  Numerical convergence rate  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
作者:  Shen, Yue;  Jin, Chang
收藏  |  浏览/下载：153/0  |  提交时间：2020/05/24
Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
Mixed Schemes for Fourth-Order DIV Equations 期刊论文
COMPUTATIONAL METHODS IN APPLIED MATHEMATICS, 2019, 卷号: 19, 期号: 2, 页码: 341-357
作者:  Fan, Ronghong;  Liu, Yanru;  Zhang, Shuo
收藏  |  浏览/下载：141/0  |  提交时间：2020/01/10
Fourth-Order DIV Equation  Mixed Scheme  Regularity Analysis  Finite Element Method  
Numerical simulation of an immersed rotating structure in fluid for hemodynamic applications 期刊论文
JOURNAL OF COMPUTATIONAL SCIENCE, 2019, 卷号: 30, 页码: 79-89
作者:  Leng, Wei;  Zhang, Chen-Song;  Sun, Pengtao;  Gao, Bin;  Xu, Jinchao
收藏  |  浏览/下载：162/0  |  提交时间：2019/03/11
Artificial heart pump  Fluid-structure interactions  Monolithic method  Arbitrary Lagrangian-Eulerian formulation  Mixed finite element