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A substructuring preconditioner with vertex-related interface solvers for elliptic-type equations in three dimensions 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 卷号: 45, 期号: 3, 页码: 1129-1161
作者:  Hu, Qiya;  Hu, Shaoliang
收藏  |  浏览/下载：160/0  |  提交时间：2020/01/10
Domain decomposition  Substructuring preconditioner  Linear elasticity problems  Maxwell's equations  PCG iteration  Convergence rate  
Multi-scale asymptotic analysis and computation of the elliptic eigenvalue problems in curvilinear coordinates 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2018, 卷号: 340, 页码: 340-365
作者:  Ma, Qiang;  Li, Zhihui;  Cui, Junzhi
收藏  |  浏览/下载：156/0  |  提交时间：2018/10/07
Homogenization method  Multi-scale asymptotic expansion  Eigenvalue problems  Finite element approximation  Coordinate transformation  
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
作者:  Huang, Na;  Ma, Chang-Feng
浏览  |  Adobe PDF(577Kb)  |  收藏  |  浏览/下载：848/153  |  提交时间：2018/07/25
PDE-constrained optimization  Saddle point matrices  Preconditioner  Cholesky decomposition  Spectral bound  
Weak boundary penalization for Dirichlet boundary control problems governed by elliptic equations 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 卷号: 453, 期号: 1, 页码: 529-557
作者:  Chang, Lili;  Gong, Wei;  Yan, Ningning
收藏  |  浏览/下载：115/0  |  提交时间：2018/07/30
Dirichlet boundary control  Weak boundary penalization  Finite element method  A priori error estimate  
A FULL MULTIGRID METHOD FOR SEMILINEAR ELLIPTIC EQUATION 期刊论文
APPLICATIONS OF MATHEMATICS, 2017, 卷号: 62, 期号: 3, 页码: 225-241
作者:  Xu, Fei;  Xie, Hehu
收藏  |  浏览/下载：95/0  |  提交时间：2018/07/30
semilinear elliptic problem  full multigrid method  multilevel correction  finite element method  
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
作者:  Rong, Zhijian;  Shen, Jie;  Yu, Haijun
收藏  |  浏览/下载：105/0  |  提交时间：2018/07/30
Sparse grid  spectral element method  high-dimensional problem  adaptive method  
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2015, 卷号: 35, 期号: 4, 页码: 1934-1977
作者:  Dai, Xiaoying;  He, Lianhua;  Zhou, Aihui
收藏  |  浏览/下载：120/0  |  提交时间：2018/07/30
adaptive finite element  a posteriori error estimator  convergence rate  complexity  multiple eigenvalue  
A MULTILEVEL CORRECTION METHOD FOR OPTIMAL CONTROLS OF ELLIPTIC EQUATIONS 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2015, 卷号: 37, 期号: 5, 页码: A2198-A2221
作者:  Gong, Wei;  Xie, Hehu;  Yan, Ningning
收藏  |  浏览/下载：140/0  |  提交时间：2018/07/30
optimal control problems  elliptic equation  control constraints  finite element method  multilevel correction method  
AN ADAPTIVE IMMERSED FINITE ELEMENT METHOD WITH ARBITRARY LAGRANGIAN-EULERIAN SCHEME FOR PARABOLIC EQUATIONS IN TIME VARIABLE DOMAINS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2015, 卷号: 12, 期号: 3, 页码: 567-591
作者:  Chen, Zhiming;  Wu, Zedong;  Xiao, Yuanming
收藏  |  浏览/下载：106/0  |  提交时间：2018/07/30
Immersed finite element  adaptive  a posteriori error estimate  time variable domain  
Stochastic Galerkin methods for elliptic interface problems with random input 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2011, 卷号: 236, 期号: 5, 页码: 782-792
作者:  Zhou, Tao
收藏  |  浏览/下载：98/0  |  提交时间：2018/07/30
Random  Bi-orthogonal  Interface  Immersed finite element  Convergence