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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:117/0  |  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  
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:164/0  |  提交时间:2019/01/11
Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method  
(CIP)-I-0 Methods for the Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 68, 期号: 1, 页码: 326-338
作者:  Geng, Hongrui;  Ji, Xia;  Sun, Jiguang;  Xu, Liwei
收藏  |  浏览/下载:127/0  |  提交时间:2018/07/30
Transmission eigenvalues  High order eigenvalue problem  Discontinuous Galerkin method  Lagrange elements  
C(0)IPG for a Fourth Order Eigenvalue Problem 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 2, 页码: 393-410
作者:  Ji, Xia;  Geng, Hongrui;  Sun, Jiguang;  Xu, Liwei
收藏  |  浏览/下载:113/0  |  提交时间:2018/07/30
Fourth order eigenvalue problem  discontinuous Galerkin method  spectrum approximation  
A ROBUST MULTILEVEL METHOD FOR THE TIME -HARMONIC MAXWELL EQUATION WITH HIGH WAVE NUMBER 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2016, 卷号: 38, 期号: 2, 页码: A856-A874
作者:  Lu, Peipei;  Xu, Xuejun
收藏  |  浏览/下载:102/0  |  提交时间:2018/07/30
multilevel method  time-harmonic Maxwell equation  high wave number  continuous interior penalty finite element method  GMRES method  local Fourier analysis  
A null-space primal-dual interior-point algorithm for nonlinear optimization with nice convergence properties 期刊论文
MATHEMATICAL PROGRAMMING, 2010, 卷号: 125, 期号: 1, 页码: 163-193
作者:  Liu, Xinwei;  Yuan, Yaxiang
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Global and local convergences  Null-space technique  Primal-dual interior-point methods  Nonlinear optimization with inequality and equality constraints