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A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
Authors:  Liu, Wenjia;  Zhang, Shuo
Favorite  |  View/Download：17/0  |  Submit date：2023/02/07
Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
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
Authors:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
Favorite  |  View/Download：86/0  |  Submit date：2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Efficient Spectral Methods for Quasi-Equilibrium Closure Approximations of Symmetric Problems on Unit Circle and Sphere 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2021, 卷号: 89, 期号: 2, 页码: 24
Authors:  Jiang, Shan;  Yu, Haijun
Favorite  |  View/Download：73/0  |  Submit date：2022/04/02
Quasi-equilibrium approximation  Moment closure  Bingham distribution  Spectral methods  Piecewise polynomial approximation  
An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2021, 页码: 24
Authors:  Zhang, Shuo
Favorite  |  View/Download：86/0  |  Submit date：2021/10/26
biharmonic equation  optimal cubic finite element scheme  general triangulation  discretized Stokes complex  discrete strengthened Miranda-Talenti estimate  
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
Authors:  Zhang, Shuo
Favorite  |  View/Download：91/0  |  Submit date：2020/06/30
minimal finite element space  quadrilateral grid  quadratic polynomial  biharmonic equation  
Mixed Weak Galerkin Method for Heat Equation with Random Initial Condition 期刊论文
MATHEMATICAL PROBLEMS IN ENGINEERING, 2020, 卷号: 2020, 页码: 11
Authors:  Zhou, Chenguang;  Zou, Yongkui;  Chai, Shimin;  Zhang, Fengshan
Favorite  |  View/Download：102/0  |  Submit date：2020/05/24
Elastic full waveform inversion on unstructured meshes by the finite element method 期刊论文
PHYSICA SCRIPTA, 2019, 卷号: 94, 期号: 11, 页码: 16
Authors:  Zhang, Wensheng
Favorite  |  View/Download：115/0  |  Submit date：2019/10/28
unstructured triangular meshes  elastic wave  full waveform inversion  finite element method  iterative Tikhonov regularization  irregular topography  conjugate gradient method  
Nonlinear least squares with local polynomial interpolation for quantitative analysis of IR spectra 期刊论文
SPECTROCHIMICA ACTA PART A-MOLECULAR AND BIOMOLECULAR SPECTROSCOPY, 2019, 卷号: 206, 页码: 147-153
Authors:  Wu, Yifan;  Peng, Silong;  Xie, Qiong;  Xu, Pengcheng
Favorite  |  View/Download：207/0  |  Submit date：2018/11/16
Spectroscopy  Quantitative analysis  Nonlinear least squares  Local polynomial interpolation  
EFFICIENT AND QUALIFIED MESH GENERATION FOR GAUSSIAN MOLECULAR SURFACE USING ADAPTIVE PARTITION AND PIECEWISE POLYNOMIAL APPROXIMATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2018, 卷号: 40, 期号: 2, 页码: B507-B527
Authors:  Liu, Tiantian;  Chen, Minxin;  Lu, Benzhuo
Favorite  |  View/Download：120/0  |  Submit date：2018/07/30
surface mesh generation  Gaussian surface  triangulation  adaptive partition  trilinear polynomial  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
Authors:  Zhang, Shangyou;  Zhang, Shuo
View  |  Adobe PDF(1589Kb)  |  Favorite  |  View/Download：374/84  |  Submit date：2018/07/23
Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid