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Deep Domain Decomposition Methods: Helmholtz Equation 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2023, 卷号: 15, 期号: 1, 页码: 118-138
Authors:  Li, Wuyang;  Wang, Ziming;  Cui, Tao;  Xu, Yingxiang;  Xiang, Xueshuang
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Helmholtz equation  deep learning  domain decomposition method  plane wave method  
A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
Authors:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
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Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
A line search penalty-free SQP method for equality-constrained optimization without Maratos effect 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2022, 卷号: 42, 期号: 4, 页码: 3771-3802
Authors:  Chen, Zhongwen;  Dai, Yu-Hong;  Zhang, Tauyou
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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
Authors:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
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Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
STABLE STANDING WAVES OF NONLINEAR FRACTIONAL SCHRODINGER EQUATIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2022, 页码: 33
Authors:  Li, Zaizheng;  Zhang, Qidi;  Zhang, Zhitao
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Fractional Schrodinger equations  standing wave  orbital stability  least action solution  
Linear convergence of an alternating polar decomposition method for low rank orthogonal tensor approximations 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 60
Authors:  Hu, Shenglong;  Ye, Ke
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Orthogonally decomposable tensors  Low rank orthogonal tensor approximation  R-linear convergence  Sublinear convergence  Global convergence  

Structural balance and interpersonal appraisals dynamics: Beyond all-to-all and two-faction networks

 期刊论文
AUTOMATICA, 2022, 卷号: 140, 页码: 11
Authors:  Mei, Wenjun;  Chen, Ge;  Friedkin, Noah E.;  Doerfler, Florian
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Structural balance  Signed social networks  Co-evolutionary dynamics  Influence process  Homophily  
Error Estimates for Finite Element Approximation of Dirichlet Boundary Control for Stokes Equations in L-2(Gamma) 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 91, 期号: 2, 页码: 36
Authors:  Zhou, Kaiye;  Gong, Wei
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Dirichlet boundary control  Stokes equations  Polygonal/polyhedral domain  Smooth domain  Finite elements  Error estimates  
Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:  Leng, Wei;  Ju, Lili
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Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
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
Authors:  Gao, Bin;  Hu, Guanghu;  Kuang, Yang;  Liu, Xin
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Key words  density functional theory  all-electron calculations  total energy minimization  orthogonalization-free  scalability