多尺度偏微分方程的数值均匀化及相关方法

11871339
2018
A0504.微分方程数值解
张镭
面上项目
教授
上海交通大学
52万元
多尺度偏微分方程;多分辨率分解;数值随机均匀化;数值均匀化;自适应方法
2019-01-01到2022-12-31
  • 中英文摘要
  • 结题摘要
  • 结题报告
  • 项目成果
  • 项目参与人
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序号 标题 类型 作者
1 A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales 期刊论文 Xi-An Li;Zhi-Qin John Xu;Lei Zhang
2 Adaptive QM/MM coupling for crystalline defects 期刊论文 Huajie Chen;Mingjie Liao;Hao Wang;Yangshuai Wang;Lei Zhang
3 A POSTERIORI ERROR ESTIMATES FOR ADAPTIVE QM/MM COUPLING METHODS 期刊论文 Yangshuai Wang;Huajie Chen;Mingjie Liao;Christoph Ortner;Hao Wang;Lei Zhang
4 Surface, size and topological effects for some nematic equilibria on rectangular domains 期刊论文 Lidong Fang;Apala Majumdar;Lei Zhang
5 On multilevel Monte Carlo methods for deterministic and uncertain hyperbolic systems 期刊论文 Junpeng Hu;Shi Jin;Jinglai Li;Lei Zhang
6 Energy minimization and preconditioning in the simulation of athermal granular materials in two dimensions 期刊论文 Haolei Wang;Lei Zhang
7 Optimal Control for Multiscale Elliptic Equations with Rough Coefficients 期刊论文 Yanping Chen;Xinliang Liu;Jiaoyan Zeng;Lei Zhang
8 Fast Eigenpairs Computation with Operator Adapted Wavelets and Hierarchical Subspace Correction 期刊论文 Hehu Xie;Lei Zhang;Houman Owhadi
9 一类基于带约束能量最小基函数的数值均匀化方法的二维数值实现 期刊论文 刘新亮;张镭;朱圣鑫
10 On the Multiscale Landau–Lifshitz–Gilbert Equation: Two-Scale Convergence and Stability Analysis 期刊论文 Jingrun Chen;Rui Du;Zetao Ma;Zhiwei Sun;Lei Zhang
11 Generalized Rough Polyharmonic Splines for Multiscale PDEs with Rough Coefficients 期刊论文 Xinliang Liu;Lei Zhang;Shengxin Zhu
12 Blended Ghost Force Correction Method for 3D Crystalline Defects 期刊论文 Lidong Fang;Lei Zhang
13 A priori analysis of a higher-order nonlinear elasticity model for an atomistic chain with periodic boundary condition 期刊论文 Yangshuai Wang;Lei Zhang;Hao Wang
14 A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions 期刊论文 Mingjie Liao;Ping Lin;Lei Zhang
15 Iterated Numerical Homogenization for MultiScale Elliptic Equations with Monotone Nonlinearity 期刊论文 Xinliang Liu;Eric T. Chung;Lei Zhang
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