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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:82/0  |  提交时间:2023/02/07
shape optimization  shape gradient  boundary formulation  boundary correction  gradient recovery  finite element method  
Multiscale asymptotic analysis and computations for Steklov eigenvalue problem in periodically perforated domain 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 页码: 21
作者:  Ye, Shuyu;  Ma, Qiang;  Hu, Bing;  Cui, Junzhi;  Jiang, Xue
收藏  |  浏览/下载:194/0  |  提交时间:2021/10/26
corrector equations  error estimation  finite element computation  second-order two-scale asymptotic analysis  Steklov eigenvalue problem  
Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics 期刊论文
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 2021, 卷号: 55, 期号: 1, 页码: 209-227
作者:  Yang, Bin;  Zhou, Aihui
收藏  |  浏览/下载:135/0  |  提交时间:2021/04/26
Adaptive finite element approximation  complexity  convergence  nonlinear eigenvalue problem  non-polynomial behavior  unique continuation property  
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 3, 页码: 20
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:144/0  |  提交时间:2020/09/23
Nonconforming finite element method  Transmission eigenvalues  High accurary  
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 686-707
作者:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:143/0  |  提交时间:2020/09/23
mixed finite element method  transmission eigenvalue  multi-level scheme  
LOW-RANK MATRIX ITERATION USING POLYNOMIAL-FILTERED SUBSPACE EXTRACTION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 3, 页码: A1686-A1713
作者:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载:160/0  |  提交时间:2020/09/23
low-rank matrix iteration  eigenvalue decomposition  inexact optimization method  polynomial filter  subspace extraction  
GRADIENT FLOW BASED KOHN-SHAM DENSITY FUNCTIONAL THEORY MODEL 期刊论文
MULTISCALE MODELING & SIMULATION, 2020, 卷号: 18, 期号: 4, 页码: 1621-1663
作者:  Dai, Xiaoying;  Wang, Qiao;  Zhou, Aihui
收藏  |  浏览/下载:131/0  |  提交时间:2021/04/26
density functional theory  dynamical system  gradient flow  orthogonality preserving  eigenvalue problem  energy minimization  
Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
作者:  Luo, Haijun;  Zhang, Zhitao
收藏  |  浏览/下载:162/0  |  提交时间:2020/05/24
Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem  
FAST EIGENPAIRS COMPUTATION WITH OPERATOR ADAPTED WAVELETS AND HIERARCHICAL SUBSPACE CORRECTION 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 6, 页码: 2519-2550
作者:  Xie, Hehu;  Zhang, Lei;  Owhadi, Houman
收藏  |  浏览/下载:157/0  |  提交时间:2020/09/23
multiscale eigenvalue problem  gamblet decomposition  multigrid iteration  subspace correction  numerical homogenization