Damped gradient iteration and multigrid relaxation:: tools for electronic structure calculations using orbital density-functionals

被引:10
作者
Kümmel, S [1 ]
机构
[1] Max Planck Inst Phys Komplexer Syst, Div Elect Struct Finite Syst, D-01187 Dresden, Germany
关键词
electronic structure calculations; density-functional theory; orbital functionals; multigrid methods; finite difference methods; gradient iteration;
D O I
10.1016/j.jcp.2004.05.018
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
A method for efficient solution of the Kohn-Sham equations, the central equations of density-functional electronic structure calculations, is presented. It combines the simplicity of the damped gradient iteration with the efficiency of multigrid techniques. The long-standing problem of calculating the optimized effective potential of Kohn-Sham theory for orbital density functionals has been solved with this algorithm. (C) 2004 Elsevier Inc. All rights reserved.
引用
收藏
页码:333 / 343
页数:11
相关论文
共 41 条
[11]  
GRABO T, 2000, STRONG COULOMB CORRE
[12]   Orbital structure of the Kohn-Sham exchange potential and exchange kernel and the field-counteracting potential for molecules in an electric field [J].
Gritsenko, OV ;
Baerends, EJ .
PHYSICAL REVIEW A, 2001, 64 (04) :12
[13]   Exchange potential from the common energy denominator approximation for the Kohn-Sham Green's function:: Application to (hyper)polarizabilities of molecular chains [J].
Grüning, M ;
Gritsenko, OV ;
Baerends, EJ .
JOURNAL OF CHEMICAL PHYSICS, 2002, 116 (15) :6435-6442
[14]   ELECTRONIC-STRUCTURE CALCULATIONS IN ADAPTIVE COORDINATES [J].
GYGI, F .
PHYSICAL REVIEW B, 1993, 48 (16) :11692-11700
[15]   Can optimized effective potentials be determined uniquely? [J].
Hirata, S ;
Ivanov, S ;
Grabowski, I ;
Bartlett, RJ ;
Burke, K ;
Talman, JD .
JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (04) :1635-1649
[16]   Connections between ground-state energies from optimized-effective potential exchange-only and Hartree-Fock methods [J].
Ivanov, S ;
Levy, M .
JOURNAL OF CHEMICAL PHYSICS, 2003, 119 (14) :7087-7093
[17]   Exact exchange treatment for molecules in finite-basis-set Kohn-Sham theory [J].
Ivanov, S ;
Hirata, S ;
Bartlett, RJ .
PHYSICAL REVIEW LETTERS, 1999, 83 (26) :5455-5458
[18]   SELF-CONSISTENT EQUATIONS INCLUDING EXCHANGE AND CORRELATION EFFECTS [J].
KOHN, W ;
SHAM, LJ .
PHYSICAL REVIEW, 1965, 140 (4A) :1133-&
[19]   SYSTEMATIC APPROXIMATIONS TO THE OPTIMIZED EFFECTIVE POTENTIAL - APPLICATION TO ORBITAL-DENSITY-FUNCTIONAL THEORY [J].
KRIEGER, JB ;
LI, Y ;
IAFRATE, GJ .
PHYSICAL REVIEW A, 1992, 46 (09) :5453-5458
[20]   Ab initio structures and polarizabilities of sodium clusters [J].
Kronik, L ;
Vasiliev, I ;
Jain, M ;
Chelikowsky, JR .
JOURNAL OF CHEMICAL PHYSICS, 2001, 115 (09) :4322-4332