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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  
Direct numerical simulation of compressible turbulence accelerated by graphics processing unit: An open-source high accuracy accelerated computational fluid dynamic software 期刊论文
PHYSICS OF FLUIDS, 2022, 卷号: 34, 期号: 12, 页码: 20
Authors:  Dang, Guanlin;  Liu, Shiwei;  Guo, Tongbiao;  Duan, Junyi;  Li, Xinliang
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Parallel multi-stage preconditioners with adaptive setup for the black oil model 期刊论文
COMPUTERS & GEOSCIENCES, 2022, 卷号: 168, 页码: 16
Authors:  Zhao, Li;  Feng, Chunsheng;  Zhang, Chen-Song;  Shu, Shi
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Black oil model  Fully implicit method  Parallel computing  Multi-color Gauss-Seidel smoother  Multi-stage preconditioners  
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  
A well-conditioned direct PinT algorithm for first- and second-order evolutionary equations 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2022, 卷号: 48, 期号: 3, 页码: 29
Authors:  Liu, Jun;  Wang, Xiang-Sheng;  Wu, Shu-Lin;  Zhou, Tao
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Direct PinT algorithms  Diagonalization technique  Condition number  Wave-type equations  
Trace transfer-based diagonal sweeping domain decomposition method for the Helmholtz equation: Algorithms and convergence analysis 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 卷号: 455, 页码: 29
Authors:  Leng, Wei;  Ju, Lili
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Domain decomposition method  Diagonal sweeping  Helmholtz equation  Perfectly matched layer  Trace transfer  Parallel computing  
AN ORTHOGONALIZATION-FREE PARALLELIZABLE FRAMEWORK FOR ALL-ELECTRON CALCULATIONS IN DENSITY FUNCTIONAL THEORY 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 卷号: 44, 期号: 3, 页码: B723-B745
Authors:  Gao, Bin;  Hu, Guanghu;  Kuang, Yang;  Liu, Xin
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Key words  density functional theory  all-electron calculations  total energy minimization  orthogonalization-free  scalability  
A MULTISCALE PARALLEL ALGORITHM FOR PARABOLIC INTEGRO-DIFFERENTIAL EQUATION IN COMPOSITE MEDIA 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2022, 卷号: 19, 期号: 4, 页码: 542-562
Authors:  Zhai, Fangman;  Cao, Liqun
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Parabolic integro-differential equation  the multiscale asymptotic method  Laplace transformation  composite media  
Parallel exponential time differencing methods for geophysical flow simulations 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 卷号: 387, 页码: 24
Authors:  Lan, Rihui;  Leng, Wei;  Wang, Zhu;  Ju, Lili;  Gunzburger, Max
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Shallow water equations  Primitive equations  Exponential time differencing  Parallel computing  Barotropic/baroclinic splitting  
A parallel orbital-updating based optimization method for electronic structure calculations 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2021, 卷号: 445, 页码: 17
Authors:  Dai, Xiaoying;  Liu, Zhuang;  Zhang, Xin;  Zhou, Aihui
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Density functional theory  Electronic structure calculations  Kohn-Sham energy functional minimization problem  Parallel orbital-updating  Optimization method