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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：57/0  |  提交时间：2023/02/07
Three-dimensional drift -diffusion model  Averaging technique  Finite element method  Semiconductor device  
An efficient cascadic multigrid solver for 3-D magnetotelluric forward modelling problems using potentials 期刊论文
GEOPHYSICAL JOURNAL INTERNATIONAL, 2022, 卷号: 230, 期号: 3, 页码: 1834-1851
作者:  Pan, Kejia;  Wang, Jinxuan;  Hu, Shuanggui;  Ren, Zhengyong;  Cui, Tao;  Guo, Rongwen;  Tang, Jingtian
收藏  |  浏览/下载：65/0  |  提交时间：2023/02/07
Electrical properties  Magnetotellurics  Numerical modelling  Numerical solutions  
A Nitsche Hybrid Multiscale Method with Non-matching Grids 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 28
作者:  Ming, Pingbing;  Song, Siqi
收藏  |  浏览/下载：127/0  |  提交时间：2022/04/29
Multiscale PDE  Hybrid method  Nitsche variational formulation  Non-matching grid  
A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
作者:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：117/0  |  提交时间：2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载：182/0  |  提交时间：2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
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
作者:  Du, Yulong;  Wang, Yahui;  Yuan, Li
收藏  |  浏览/下载：164/0  |  提交时间：2020/09/23
Finite-volume method  High-order accuracy  Dimension-by-dimension reconstruction  Cartesian grid  Nonlinear convection-diffusion equation  65M08  65M12  65M20  
Minimal consistent finite element space for the biharmonic equation on quadrilateral grids 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 2, 页码: 1390-1406
作者:  Zhang, Shuo
收藏  |  浏览/下载：122/0  |  提交时间：2020/06/30
minimal finite element space  quadrilateral grid  quadratic polynomial  biharmonic equation  
Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
作者:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
收藏  |  浏览/下载：127/0  |  提交时间：2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 686-707
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载：137/0  |  提交时间：2020/09/23
mixed finite element method  transmission eigenvalue  multi-level scheme  
ON ENERGY STABLE, MAXIMUM-PRINCIPLE PRESERVING, SECOND-ORDER BDF SCHEME WITH VARIABLE STEPS FOR THE ALLEN-CAHN EQUATION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2020, 卷号: 58, 期号: 4, 页码: 2294-2314
作者:  Liao, Hong-lin;  Tang, Tao;  Zhou, Tao
收藏  |  浏览/下载：118/0  |  提交时间：2021/01/14
Allen-Cahn equation  nonuniform BDF2 scheme  energy stability  discrete maximum principle  convergence analysis