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The Fucik spectrum of Schrodinger operators in strongly indefinite cases 期刊论文
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2023, 卷号: 30, 期号: 2, 页码: 28
作者:  Song, Linjie
收藏  |  浏览/下载:115/0  |  提交时间:2023/02/07
Fucik spectrum  Schrodinger operators  Essential spectrum  Jumping nonlinearities  
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 21
作者:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
收藏  |  浏览/下载:58/0  |  提交时间:2023/02/07
Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
A TWO-LEVEL PRECONDITIONED HELMHOLTZ-JACOBI-DAVIDSON METHOD FOR THE MAXWELL EIGENVALUE PROBLEM 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 卷号: 91, 期号: 334, 页码: 623-657
作者:  Liang, Qigang;  Xu, Xuejun
收藏  |  浏览/下载:151/0  |  提交时间:2022/04/29
Maxwell eigenvalue problem  edge element  Helmholtz projection  Jacobi-Davidson method  domain decomposition  
Eddy heat exchange at the boundary under white noise turbulence 期刊论文
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2022, 卷号: 380, 期号: 2219, 页码: 13
作者:  Flandoli;  Galeati, L;  Luo, DJ
收藏  |  浏览/下载:179/0  |  提交时间:2023/03/14
turbulence  eddy diffusion  vortex patch  covariance matrix  Dirichlet boundary condition  first eigenvalue  
On the Asymptotic Convergence and Acceleration of Gradient Methods 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 90, 期号: 1, 页码: 29
作者:  Huang, Yakui;  Dai, Yu-Hong;  Liu, Xin-Wei;  Zhang, Hongchao
收藏  |  浏览/下载:169/0  |  提交时间:2022/04/02
Gradient methods  Asymptotic convergence  Spectral property  Acceleration of gradient methods  Barzilai-Borwein method  Unconstrained optimization  Quadratic optimization  
CONVERGENCE ANALYSIS OF INEXACT TWO-GRID METHODS: A THEORETICAL FRAMEWORK 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2022, 卷号: 60, 期号: 1, 页码: 133-156
作者:  Xu, Xuefeng;  Zhang, Chen-Song
收藏  |  浏览/下载:138/0  |  提交时间:2022/04/29
multigrid  inexact two-grid methods  convergence factor  eigenvalue analysis  
IMPROVED DISCRETE BOUNDARY TYPE SHAPE GRADIENTS FOR PDE-CONSTRAINED SHAPE OPTIMIZATION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 4, 页码: A2464-A2505
作者:  Gong, Wei;  Li, Jiajie;  Zhu, Shengfeng
收藏  |  浏览/下载:74/0  |  提交时间:2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
AN ORTHOGONALIZATION-FREE PARALLELIZABLE FRAMEWORK FOR ALL-ELECTRON CALCULATIONS IN DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: B723-B745
作者:  Gao, Bin;  Hu, Guanghu;  Kuang, Yang;  Liu, Xin
收藏  |  浏览/下载:98/0  |  提交时间:2023/02/07
Key words  density functional theory  all-electron calculations  total energy minimization  orthogonalization-free  scalability  
Order Reduced Schemes for the Fourth Order Eigenvalue Problems on Multi-Connected Planar Domains 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2021, 卷号: 14, 期号: 4, 页码: 920-944
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:114/0  |  提交时间:2022/04/02
Multilevel mixed element method  fourth order eigenvalue problem  multi-connected planar domain  
A Simple Low-Degree Optimal Finite Element Scheme for the Elastic Transmission Eigenvalue Problem 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 卷号: 30, 期号: 4, 页码: 1061-1082
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:108/0  |  提交时间:2022/04/02
subject Elastic transmission eigenvalue problem  nonconforming finite element method  high accuracy