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High Accuracy Analysis of an Anisotropic Nonconforming Finite Element Method for Two-Dimensional Time Fractional Wave Equation 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 4, 页码: 797-817
作者:  Wang, Fenling;  Zhao, Yanmin;  Shi, Zhengguang;  Shi, Yanhua;  Tang, Yifa
收藏  |  浏览/下载:158/0  |  提交时间:2020/01/10
Time fractional wave equation  anisotropic nonconforming quasi-Wilson finite element  Crank-Nicolson scheme  stability  superclose and superconvergence  
A Robust Multilevel Preconditioner Based on a Domain Decomposition Method for the Helmholtz Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 1, 页码: 291-311
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:116/0  |  提交时间:2019/10/28
Multilevel method  Helmholtz equation  High wave number  Continuous interior penalty finite element method  GMRES method  Overlapping domain decomposition method  
Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2019, 卷号: 9, 期号: 3, 页码: 538-557
作者:  Huang, Jianfei;  Arshad, Sadia;  Jiao, Yandong;  Tang, Yifa
收藏  |  浏览/下载:163/0  |  提交时间:2020/01/10
Fractional diffusion-wave equation  nonlinear source  convolution quadrature  generating function  stability and convergence  
A Numerical Study of the 3-Periodic Wave Solutions to Toda-Type Equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2019, 卷号: 26, 期号: 2, 页码: 579-598
作者:  Thang, Yingnan;  Hu, Xingbiao;  He, Yi;  Sun, Jianqing
收藏  |  浏览/下载:150/0  |  提交时间:2020/01/10
Toda-type equation  N-periodicwave solution  Riemann's theta-function  Gauss-Newton method  
Generalized plane wave discontinuous Galerkin methods for nonhomogeneous Helmholtz equations with variable wave numbers 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2019, 页码: 22
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:158/0  |  提交时间:2020/01/10
Helmholtz equation  nonhomogeneous  variable wave numbers  generalized plane wave  local spectral elements  error estimates  
AN OPTIMIZED SCHWARZ METHOD WITH RELAXATION FOR THE HELMHOLTZ EQUATION: THE NEGATIVE IMPACT OF OVERLAP 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2019, 卷号: 53, 期号: 1, 页码: 249-268
作者:  Liu, Yongxiang;  Xu, Xuejun
收藏  |  浏览/下载:144/0  |  提交时间:2020/01/10
optimized Schwarz method  the Helmholtz equation  overlapping size  
A new family of fourth-order locally one-dimensional schemes for the 3D elastic wave equation 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2019, 卷号: 348, 页码: 246-260
作者:  Zhang, Wensheng
收藏  |  浏览/下载:166/0  |  提交时间:2019/03/05
3D  Elastic wave equation  LOD  Fourth-order accuracy  Splitting  
ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
作者:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
收藏  |  浏览/下载:172/0  |  提交时间:2019/04/02
Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 卷号: 344, 页码: 323-345
作者:  Yuan, Long;  Hu, Qiya
收藏  |  浏览/下载:161/0  |  提交时间:2018/09/08
Helmholtz equation  Time-harmonic Maxwell's equations  Well posedness  Electromagnetic wave  Plane wave basis  Error estimates  
A (CIP)-I-0 method of transmission eigenvalues for elastic waves 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 374, 页码: 237-248
作者:  Xi, Yingxia;  Ji, Xia;  Geng, Hongrui
收藏  |  浏览/下载:163/0  |  提交时间:2019/01/11
Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method