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A lowest-degree quasi-conforming finite element de Rham complex on general quadrilateral grids by piecewise polynomials 期刊论文
CALCOLO, 2022, 卷号: 59, 期号: 1, 页码: 32
作者:  Quan, Qimeng;  Ji, Xia;  Zhang, Shuo
收藏  |  浏览/下载:156/0  |  提交时间:2022/04/02
Nonconforming finite element  De Rham complex  General quadrilateral grids  Piecewise polynomial  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
作者:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
收藏  |  浏览/下载:212/0  |  提交时间:2020/10/12
Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
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
作者:  Li, Bo;  Tang, Shanshan;  Yu, Haijun
收藏  |  浏览/下载:167/0  |  提交时间:2020/05/24
Deep neural network  high dimensional approximation  sparse grids  rectified linear unit  rectified power unit  rectified quadratic unit  
A Full Multigrid Method for Distributed Control Problems Constrained by Stokes Equations 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 3, 页码: 639-655
作者:  Butt, M. M.;  Yuan, Y.
收藏  |  浏览/下载:147/0  |  提交时间:2018/07/30
PDE-constrained optimization  stokes equations  multigrid  staggered grids  finite difference  
A multigrid solver for Stokes control problems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 卷号: 94, 期号: 12, 页码: 2297-2314
作者:  Butt, Muhammad Munir
收藏  |  浏览/下载:227/0  |  提交时间:2018/07/30
Stokes equations  PDE-constrained optimization  multigrid  staggered grids  control-constrained  35Q93  49K20  65N55  
Application of auxiliary space preconditioning in field-scale reservoir simulation 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 12, 页码: 2737-2751
作者:  Hu XiaoZhe;  Xu JinChao;  Zhang ChenSong
收藏  |  浏览/下载:144/0  |  提交时间:2021/01/14
ITERATIVE METHODS  BLOCK  EQUATIONS  SYSTEMS  GRIDS  reservoir simulation  black-oil model  fully implicit method  auxiliary space preconditioning  algebraic multigrid method  Krylov subspace iterative method  
The Coupling FEM and Natural BEM for a Certain Nonlinear Interface Problem with Non-Matching Grids 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2011, 卷号: 73, 期号: 3, 页码: 311-329
作者:  Yang, Ju'e;  Yu, Dehao
收藏  |  浏览/下载:145/0  |  提交时间:2018/07/30
nonlinear interface problem  domain decomposition  natural boundary reduction  coupling  non-matching grids  
A DOMAIN DECOMPOSITION METHOD WITH LAGRANGE MULTIPLIER BASED ON THE POINTWISE MATCHING CONDITION 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2009, 卷号: 6, 期号: 1, 页码: 147-160
作者:  Sun, Dudu;  Hu, Qiya;  Shu, Shi
收藏  |  浏览/下载:140/0  |  提交时间:2018/07/30
domain decomposition  nonmatching grids  pointwise matching  error estimate  
Generalized Normal Derivatives and Their Applications in DDMs with Nonmatching Grids and DG Methods 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2008, 卷号: 1, 期号: 4, 页码: 383-409
作者:  Hu, Qiya
收藏  |  浏览/下载:111/0  |  提交时间:2018/07/30
Green's formula  generalized normal derivative  domain decomposition  nonmathing grids  discontinuous Galerkin  error estimates  
The Crouzeix-Raviart Fe on nonmatching grids with an approximate mortar condition 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2008, 卷号: 46, 期号: 1, 页码: 496-516
作者:  Rahman, Talal;  Bjorstad, Petter;  Xu, Xuejun
收藏  |  浏览/下载:129/0  |  提交时间:2018/07/30
Crouzeix-Raviart finite element  nonmatching grids  mortar condition  additive Schwarz