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Multiscale Hybrid-Mixed Finite Element Method for Flow Simulation in Fractured Porous Media 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2019, 卷号: 119, 期号: 1, 页码: 145-163
Authors:  Devloo, Philippe;  Teng, Wenchao;  Zhang, Chen-Song
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Fracture simulation  discrete fracture model  multiscale hybrid finite element  mixed formulation  
A (CIP)-I-0 method of transmission eigenvalues for elastic waves 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 374, 页码: 237-248
Authors:  Xi, Yingxia;  Ji, Xia;  Geng, Hongrui
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Transmission eigenvalue problem  Elastic wave equation  Discontinuous Galerkin method  
CP-P Stokes finite element pair on sub-hexahedron tetrahedral grids 期刊论文
CALCOLO, 2017, 卷号: 54, 期号: 4, 页码: 1403-1417
Authors:  Zhang, Shangyou;  Zhang, Shuo
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Stokes problem  Mixed finite element  Continuous quadratic velocity  Discontinuous pressure  Hexahedral grid  Tetrahedral grid  
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  
(CIP)-I-0 Methods for the Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 68, 期号: 1, 页码: 326-338
Authors:  Geng, Hongrui;  Ji, Xia;  Sun, Jiguang;  Xu, Liwei
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Transmission eigenvalues  High order eigenvalue problem  Discontinuous Galerkin method  Lagrange elements  
C(0)IPG for a Fourth Order Eigenvalue Problem 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2016, 卷号: 19, 期号: 2, 页码: 393-410
Authors:  Ji, Xia;  Geng, Hongrui;  Sun, Jiguang;  Xu, Liwei
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Fourth order eigenvalue problem  discontinuous Galerkin method  spectrum approximation  
CONVERGENCE AND SUPERCONVERGENCE ANALYSIS OF LAGRANGE RECTANGULAR ELEMENTS WITH ANY ORDER ON ARBITRARY RECTANGULAR MESHES 期刊论文
Journal of Computational Mathematics, 2014, 卷号: 32, 期号: 2, 页码: 169
Authors:  Li Mingxia;  Guan Xiaofei;  Mao Shipeng
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Error estimates of triangular finite elements under a weak angle condition 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2009, 卷号: 230, 期号: 1, 页码: 329-331
Authors:  Mao, Shipeng;  Shi, Zhongci
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Interpolation error estimates  Bramble-Hilbert lemma  Maximal angle condition  
A mortar edge element method with nearly optimal convergence for three-dimensional Maxwell's equations 期刊论文
MATHEMATICS OF COMPUTATION, 2008, 卷号: 77, 期号: 263, 页码: 1333-1353
Authors:  Hu, Qiya;  Shu, Shi;  Zou, Jun
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Maxwell's equations  Nedelec finite elements  domain decomposition  nonmatching grids  generalized interpolation  error estimate  
New error estimates of biquadratic Lagrange elements for Poisson's equation 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2006, 卷号: 56, 期号: 5, 页码: 712-744
Authors:  Huang, HT;  Li, ZC;  Zhou, AH
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lagrange elements  biquadratic elements  Poisson's equation  global superconvergence  ultraconvergence