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Local error estimate of L1 scheme for linearized time fractional KdV equation with weakly singular solutions 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2022, 卷号: 179, 页码: 183-190
作者:  Chen, Hu;  Chen, Mengyi;  Sun, Tao;  Tang, Yifa
收藏  |  浏览/下载:97/0  |  提交时间:2023/02/07
L1 scheme  Time-fractional KdV equation  Local error estimate  Weakly singular solution  
Interface-penalty finite element methods for interface problems in H-1, H(curl), and H(div) 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2020, 卷号: 367, 页码: 16
作者:  Liu, Huaqing;  Zhang, Linbo;  Zhang, Xiaodi;  Zheng, Weiying
收藏  |  浏览/下载:171/0  |  提交时间:2020/10/12
Interface problem  Unfitted mesh  Interface-penalty finite element method  Maxwell's equation  Nitsche's method  
A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 卷号: 11, 期号: 6, 页码: 1263-1286
作者:  Liao, Yulei;  Ming, Pingbing
收藏  |  浏览/下载:197/0  |  提交时间:2020/01/10
Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
A convergent adaptive finite element method for elliptic Dirichlet boundary control problems 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2019, 卷号: 39, 期号: 4, 页码: 1985-2015
作者:  Gong, Wei;  Liu, Wenbin;  Tan, Zhiyu;  Yan, Ningning
收藏  |  浏览/下载:210/0  |  提交时间:2020/01/10
optimal control problem  elliptic equation  Dirichlet boundary control  energy space  adaptive finite element method  convergence  
An Arbitrary-Order Discontinuous Galerkin Method with One Unknown Per Element 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 80, 期号: 1, 页码: 268-288
作者:  Li, Ruo;  Ming, Pingbing;  Sun, Ziyuan;  Yang, Zhijian
收藏  |  浏览/下载:165/0  |  提交时间:2020/01/10
Least-squares reconstruction  Discontinuous Galerkin method  Elliptic problem  
Error estimates of Crank-Nicolson Galerkin method for the time-dependent Maxwell-Schrodinger equations under the Lorentz gauge 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2018, 卷号: 38, 期号: 4, 页码: 2074-2104
作者:  Ma, Chupeng;  Cao, Liqun;  Lin, Yanping
收藏  |  浏览/下载:154/0  |  提交时间:2019/01/11
error estimates  Crank-Nicolson  Galerkin method  Maxwell-Schrodinger  
Optimal estimation of sensor biases for asynchronous multi-sensor data fusion 期刊论文
MATHEMATICAL PROGRAMMING, 2018, 卷号: 170, 期号: 1, 页码: 357-386
作者:  Pu, Wenqiang;  Liu, Ya-Feng;  Yan, Junkun;  Liu, Hongwei;  Luo, Zhi-Quan
收藏  |  浏览/下载:173/0  |  提交时间:2018/07/30
Block coordinate decent algorithm  Nonlinear least squares  Sensor registration problem  Tightness of semidefinite relaxation  
Optimal error estimate of conservative local discontinuous Galerkin method for nonlinear Schrodinger equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2018, 卷号: 127, 页码: 164-178
作者:  Hong, Jialin;  Ji, Lihai;  Liu, Zhihui
收藏  |  浏览/下载:156/0  |  提交时间:2018/07/30
Nonlinear Schrodinger equation  Optimal error estimates  Charge conservation law  Local discontinuous Galerkin method  Generalized alternating numerical flux  
OPTIMAL QUADRATIC NITSCHE EXTENDED FINITE ELEMENT METHOD FOR INTERFACE PROBLEM OF DIFFUSION EQUATION 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2018, 卷号: 36, 期号: 5, 页码: 693-717
作者:  Wang, Fei;  Zhang, Shuo
收藏  |  浏览/下载:134/0  |  提交时间:2019/03/05
Interface problems  Extended finite element methods  Error estimates  Nitsche's scheme  Quadratic element  
Regular decomposition and a framework of order reduced methods for fourth order problems 期刊论文
NUMERISCHE MATHEMATIK, 2018, 卷号: 138, 期号: 1, 页码: 241-271
作者:  Zhang, Shuo
收藏  |  浏览/下载:142/0  |  提交时间:2018/07/30