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Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power Units 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2020, 卷号: 27, 期号: 2, 页码: 379-411
Authors:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
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Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
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
Authors:  Huang, Na;  Ma, Chang-Feng
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PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
A NODAL SPARSE GRID SPECTRAL ELEMENT METHOD FOR MULTI-DIMENSIONAL ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2017, 卷号: 14, 期号: 4-5, 页码: 762-783
Authors:  Rong, Zhijian;  Shen, Jie;  Yu, Haijun
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Sparse grid  spectral element method  high-dimensional problem  adaptive method  
Two-scale sparse finite element approximations 期刊论文
SCIENCE CHINA-MATHEMATICS, 2016, 卷号: 59, 期号: 4, 页码: 789-808
Authors:  Liu Fang;  Zhu JinWei
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combination  discretization  eigenvalue  finite element  postprocessing  two-scale  
An algebraic multigrid method for higher-order finite element discretizations 期刊论文
COMPUTING, 2006, 卷号: 77, 期号: 4, 页码: 347-377
Authors:  Shu, S;  Sun, D;  Xu, J
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algebraic multigrid methods  high-order finite element  unstructured grids  geometric-based