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An efficient neural network method with plane wave activation functions for solving Helmholtz equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2022, 卷号: 111, 页码: 34-49
作者:  Cui, Tao;  Wang, Ziming;  Xiang, Xueshuang
收藏  |  浏览/下载:65/0  |  提交时间:2023/02/07
Helmholtz equation  Deep learning  Finite difference method  Plane wave method  
Plane wave discontinuous Galerkin methods for the Helmholtz equation and Maxwell equations in anisotropic media 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 卷号: 97, 页码: 355-374
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:93/0  |  提交时间:2022/04/02
Helmholtz equation  Time-harmonic Maxwell's equations  Anisotropic media  Plane wave basis  Error estimates  
A locking free numerical approximation for quasilinear poroelasticity problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 6, 页码: 1538-1554
作者:  Zhang, Jingyuan;  Zhou, Chenguang;  Cao, Yanzhao;  Meir, A. J.
收藏  |  浏览/下载:127/0  |  提交时间:2021/01/14
Poroelasticity  Dilatation-dependent permeability  Volumetric stress formulation  Weak Galerkin mixed finite element method  Finite element method  
Iterative two-grid methods for semilinear elliptic equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2020, 卷号: 80, 期号: 3, 页码: 522-530
作者:  Zhang, Weifeng;  Fan, Ronghong;  Zhong, Liuqiang
收藏  |  浏览/下载:136/0  |  提交时间:2020/06/30
Iterative methods  Two-grid method  Convergence  Semilinear elliptic equations  
A novel high-order approximate scheme for two-dimensional time-fractional diffusion equations with variable coefficient 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 78, 期号: 5, 页码: 1288-1301
作者:  Wang, Fenling;  Zhao, Yanmin;  Chen, Chen;  Wei, Yabing;  Tang, Yifa
收藏  |  浏览/下载:174/0  |  提交时间:2020/01/10
Time-fractional diffusion equations  Variable coefficient  Quasi-Wilson nonconforming anisotropic finite element  L2-1(sigma) formula  Stability  Superclose and superconvergence  
Analysis on inexact block diagonal preconditioners for elliptic PDE-constrained optimization problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2017, 卷号: 74, 期号: 10, 页码: 2423-2437
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载:820/150  |  提交时间:2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Finite element approximation of optimal control problems governed by time fractional diffusion equation 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2016, 卷号: 71, 期号: 1, 页码: 301-318
作者:  Zhou, Zhaojie;  Gong, Wei
收藏  |  浏览/下载:130/0  |  提交时间:2018/07/30
Galerkin finite element method  Optimal control problems  Time fractional diffusion equations  A priori error estimate  Variational discretization  
A mixed multiscale finite element method for convex optimal control problems with oscillating coefficients 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2015, 卷号: 70, 期号: 4, 页码: 297-313
作者:  Chen, Yanping;  Huang, Yunqing;  Liu, Wenbin;  Yan, Ningning
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
Multiscale control problem  Mixed finite element  Homogenization  A prior error estimates  
The Grunwald-Letnikov method for fractional differential equations 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 卷号: 62, 期号: 3, 页码: 902-917
作者:  Scherer, Rudolf;  Kalla, Shyam L.;  Tang, Yifa;  Huang, Jianfei
收藏  |  浏览/下载:134/0  |  提交时间:2018/07/30
Fractional derivatives  Fractional differential equations  Grunwald-Letnikov approximation  Difference methods  Binomial coefficients  Stability  
A finite element method for investigating general elastic multi-structures 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 卷号: 53, 期号: 12, 页码: 1867-1895
作者:  Huang, Jianguo;  Guo, Ling;  Shi, Zhongci
收藏  |  浏览/下载:85/0  |  提交时间:2018/07/30
elastic multi-structures  finite elements  generalized Korn's inequality  unique solvability  error estimates