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Nonstandard finite element de Rham complexes on cubical meshes 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 卷号: 60, 期号: 2, 页码: 373-409
Authors:  Gillette, Andrew;  Hu, Kaibo;  Zhang, Shuo
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Finite element  Nonconforming element  de Rham complex  
Decoupled Mixed Element Methods for Fourth Order Elliptic Optimal Control Problems with Control Constraints 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2020, 卷号: 13, 期号: 2, 页码: 400-432
Authors:  Shen, Yue;  Jin, Chang
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Fourth order elliptic equation  optimal control problem  decoupled mixed element method  Lagrange element  nonconforming Crouzeix-Raviart element  a priori error estimates  
Continuous interior penalty finite element methods for the time-harmonic Maxwell equation with high wave number 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2019, 页码: 27
Authors:  Lu, Peipei;  Wu, Haijun;  Xu, Xuejun
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Time-harmonic Maxwell equation  High wave number  Continuous interior penalty finite element method  Error estimates  
Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 81, 期号: 2, 页码: 1072-1087
Authors:  Xie, Hehu;  Xie, Manting
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Bose-Einstein condensate  Gross-Pitaevskii equation  Finite element method  Computable error estimates  Lower bound  
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  
FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 1-2, 页码: 260-276
Authors:  Hong, Qichen;  Xie, Hehu;  Yue, Meiling;  Zhang, Ning
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Eigenvalue problem  computable error estimate  guaranteed upper bound  guaranteed lower bound  complementary method  
A robust solver for the finite element approximation of stationary incompressible MHD equations in 3D 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 351, 页码: 254-270
Authors:  Li, Lingxiao;  Zheng, Weiying
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Incompressible magnetohydrodynamic equations  Mixed finite element method  Block preconditioner  grad-div stabilization  Newton's 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  
Computable Error Estimates for a Nonsymmetric Eigenvalue Problem 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2017, 卷号: 7, 期号: 3, 页码: 583-602
Authors:  Xie, Hehu;  Xie, Manting;  Yin, Xiaobo;  Yue, Meiling
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Nonsymmetric eigenvalue problem  computable error estimates  asymptotical exactness  finite element method  complementary method  
LOCAL MULTILEVEL METHODS WITH RECTANGULAR FINITE ELEMENTS FOR THE BIHARMONIC PROBLEM 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2017, 卷号: 39, 期号: 6, 页码: A2592-A2615
Authors:  Tang, Shibing;  Xu, Xuejun
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biharmonic problem  Schwarz framework  Bogner-Fox-Schmit element  Adini element  local multilevel method