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A Family of Nonconforming Rectangular Elements for Strain Gradient Elasticity 期刊论文
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2019, 卷号: 11, 期号: 6, 页码: 1263-1286
Authors:  Liao, Yulei;  Ming, Pingbing
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Nonconforming finite elements  strain gradient elasticity  uniform error estimate  
DISTRIBUTED SUBGRADIENT-FREE STOCHASTIC OPTIMIZATION ALGORITHM FOR NONSMOOTH CONVEX FUNCTIONS OVER TIME-VARYING NETWORKS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 卷号: 57, 期号: 4, 页码: 2821-2842
Authors:  Wang, Yinghui;  Zhao, Wenxiao;  Hong, Yiguang;  Zamani, Mohsen
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distributed stochastic optimization  gradient-/subgadient-free algorithm  nonsmoothness  randomized differences  
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  
Positive solutions for singular elliptic systems with convection term 期刊论文
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 卷号: 19, 期号: 3, 页码: 2165-2175
Authors:  Motreanu, Dumitru;  Moussaoui, Abdelkrim;  Zhang, Zhitao
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Singular system  convection term  Schauder's fixed-point theorem  regularity  
Isogeometric finite element approximation of minimal surfaces based on extended loop subdivision 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 343, 页码: 324-339
Authors:  Pan, Qing;  Chen, Chong;  Xu, Guoliang
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Extended loop subdivision  Isogeometric analysis  Error estimates  Minimal surfaces  
Hamilton's Harnack inequality and the W-entropy formula on complete Riemannian manifolds 期刊论文
STOCHASTIC PROCESSES AND THEIR APPLICATIONS, 2016, 卷号: 126, 期号: 4, 页码: 1264-1283
Authors:  Li, Xiang-Dong
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Hamilton's Harnack inequality  Gradient estimates  Logarithmic heat kernel  Witten Laplacian  W-entropy formula  
uniquenessoffokkerplanckequationsforspinlatticesystemsiinoncompactcase 期刊论文
sciencechinamathematics, 2014, 卷号: 57, 期号: 1, 页码: 161
Authors:  Lemle Ludovic Dan;  Wang Ran;  Wu Liming
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GRADIENT ESTIMATES FOR POSITIVE SOLUTIONS OF THE HEAT EQUATION UNDER GEOMETRIC FLOW 期刊论文
PACIFIC JOURNAL OF MATHEMATICS, 2011, 卷号: 253, 期号: 2, 页码: 489-510
Authors:  Sun, Jun
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gradient estimate  geometric flow  heat equation  Harnack inequality  
Gradient estimates and Liouville theorems for nonlinear parabolic equations on noncompact Riemannian manifolds 期刊论文
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 卷号: 74, 期号: 15, 页码: 5141-5146
Authors:  Zhu, Xiaobao
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Gradient estimates  Nonlinear parabolic equations  Liouville theorems  
A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2011, 卷号: 1, 期号: 3, 页码: 248-263
Authors:  Lin, Qun;  Xie, Hehu
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Finite element method  least-squares fitting  vertex-edge-face interpolation  superconvergence  a posteriori error estimate