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Multigrid methods in density functional theory

✍ Scribed by Thomas L. Beck; Karthik A. Iyer; Michael P. Merrick


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
151 KB
Volume
61
Category
Article
ISSN
0020-7608

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✦ Synopsis


A multigrid method for real-space solution of the Kohn᎐Sham equations is presented. By using this multiscale approach, the problem of critical slowing down typical of iterative real-space solvers is overcome. The method scales linearly in computer time with the number of electrons if the orbitals are localized. Here, we describe details of our multigrid method, present preliminary many-electron numerical results illustrating the efficiency of the solver, and discuss its strengths and limitations.


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