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氢原子Kohn Sham方程有限元MATLAB实验
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作者 姜威 杨一都 《贵州师范大学学报(自然科学版)》 CAS 2010年第3期58-65,共8页
求解氢原子Kohn Sham方程的特征值问题是数学物理界的热点问题之一,给出了用协调有限元法求解该问题的MATLAB源程序,并在PC计算机上计算出了前几个特征值。
关键词 氢原子Kohn sham方程 协调有限元 MATLAB程序
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KSSOLV-GPU:an Efficient GPU-Enabled MATLAB Toolbox for Solving the Kohn-Sham Equations within Density Functional Theory in Plane-Wave Basis Set
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作者 Zhen-lin Zhang Shi-zhe Jiao +5 位作者 Jie-lan Li Wen-tiao Wu Ling-yun Wan Xin-ming Qin Wei Hu Jin-long Yang 《Chinese Journal of Chemical Physics》 SCIE CAS CSCD 2021年第5期552-564,I0002,共14页
KSSOLV(Kohn-Sham Solver)is a MATLAB(Matrix Laboratory)toolbox for solving the Kohn-Sham density functional theory(KS-DFT)with the plane-wave basis set.In the KS-DFT calculations,the most expensive part is commonly the... KSSOLV(Kohn-Sham Solver)is a MATLAB(Matrix Laboratory)toolbox for solving the Kohn-Sham density functional theory(KS-DFT)with the plane-wave basis set.In the KS-DFT calculations,the most expensive part is commonly the diagonalization of Kohn-Sham Hamiltonian in the self-consistent field(SCF)scheme.To enable a personal computer to perform medium-sized KS-DFT calculations that contain hundreds of atoms,we present a hybrid CPU-GPU implementation to accelerate the iterative diagonalization algorithms implemented in KSSOLV by using the MATLAB built-in Parallel Computing Toolbox.We compare the performance of KSSOLV-GPU on three types of GPU,including RTX3090,V100,and A100,with conventional CPU implementation of KSSOLV respectively and numerical results demonstrate that hybrid CPU-GPU implementation can achieve a speedup of about 10 times compared with sequential CPU calculations for bulk silicon systems containing up to 128 atoms. 展开更多
关键词 Kohn-sham Solver Density functional theory Iterative eigensolver MATLAB GPU
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