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Error analysis of a conservative finite element scheme for time-dependent inductionless MHD problem 期刊论文
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2023, 卷号: 419, 页码: 22
Authors:  Long, Xiaonian;  Ding, Qianqian;  Mao, Shipeng
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Inductionless magnetohydrodynamics  Current density conservation  Euler semi-implicit  Error estimate  Mixed finite element method  
On accelerating a multilevel correction adaptive finite element method for Kohn-Sham equation 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2023, 卷号: 472, 页码: 22
Authors:  Hu, Guanghui;  Xie, Hehu;  Xu, Fei
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Kohn-Sham equation  Multilevel correction method  Finite element method  Separately handing nonlinear terms  Parallel computing  
Upper and Lower Bounds for Matrix Discrepancy 期刊论文
JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2022, 卷号: 28, 期号: 6, 页码: 23
Authors:  Xie, Jiaxin;  Xu, Zhiqiang;  Zhu, Ziheng
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Matrix discrepancy  Tight frame  Interlacing polynomials  Kadison-Singer problem  
A fourth-order unfitted characteristic finite element method for free-boundary problems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 469, 页码: 19
Authors:  Ma, Chuwen;  Zheng, Weiying
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Free-boundary problems  Unfitted characteristic finite element  methods  Convection-diffusion equation  Navier-Stokes equations  
Boundary Stability Criterion for a Nonlinear Axially Moving Beam 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 卷号: 67, 期号: 11, 页码: 5714-5729
Authors:  Cheng, Yi;  Wu, Yuhu;  Guo, Bao-Zhu
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Mathematical models  Stability criteria  Structural beams  Vibrations  Strain  Numerical stability  Feedback control  Absolute stabilization  axially moving beam  boundary control  exponential stability  
Hamiltonian Particle-in-Cell methods for Vlasov-Poisson equations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 467, 页码: 20
Authors:  Gu, Anjiao;  He, Yang;  Sun, Yajuan
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Vlasov-Poisson system  Poisson bracket  Finite element method  Structure-preserving algorithm  Hamiltonian splitting method  
Dual-variable-horizon peridynamics and continuum mechanics coupling modeling and adaptive fracture simulation in porous materials 期刊论文
ENGINEERING WITH COMPUTERS, 2022, 页码: 21
Authors:  Shen Shangkun;  Yang Zihao;  Cui Junzhi;  Zhang Jieqiong
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Porous materials  Peridynamics  Surface correction  Hybrid model  Adaptive algorithm  Fracture simulation  
A Lowest-Degree Conservative Finite Element Scheme for Incompressible Stokes Problems on General Triangulations 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 31
Authors:  Liu, Wenjia;  Zhang, Shuo
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Incompressible stokes equations  Inf-sup condition  Conservative scheme  Pressure-robust discretization  Lowest degree  
A Weak Galerkin Finite Element Method Can Compute Both Upper and Lower Eigenvalue Bounds 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2022, 卷号: 93, 期号: 1, 页码: 21
Authors:  Liang, Qigang;  Xu, Xuejun;  Yuan, Liuyao
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Eigenvalue problems  Upper and lower bound  Weak Galerkin method  High accuracy  
Error estimates of H(div)-conforming method for nonstationary magnetohydrodynamic system 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 5, 页码: 23
Authors:  Ding, Qianqian;  Mao, Shipeng;  Sun, Jiaao
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Magnetohydrodynamics  Finite element method  H(div)-conforming element  Error analysis  Pressure-robust