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Volumn 223, Issue 2, 2007, Pages 759-773

Finite element approach for density functional theory calculations on locally-refined meshes

Author keywords

Composite mesh; Finite element method; Kohn Sham equations; Multigrid

Indexed keywords

APPLICATION PROGRAMS; DENSITY FUNCTIONAL THEORY; ITERATIVE METHODS; STEEPEST DESCENT METHOD;

EID: 33947155839     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.10.013     Document Type: Article
Times cited : (38)

References (33)
  • 4
    • 33748870671 scopus 로고
    • Electronic-structure calculations based on the finite-element method
    • Tsuchida E., and Tsukada M. Electronic-structure calculations based on the finite-element method. Phys. Rev. B 52 8 (1995) 5573-5578
    • (1995) Phys. Rev. B , vol.52 , Issue.8 , pp. 5573-5578
    • Tsuchida, E.1    Tsukada, M.2
  • 5
    • 0000309751 scopus 로고    scopus 로고
    • Large-scale electronic-structure calculations based on the adaptive finite-element method
    • Tsuchida E., and Tsukada M. Large-scale electronic-structure calculations based on the adaptive finite-element method. J. Phys. Soc. Jpn. 67 11 (1998) 3844-3858
    • (1998) J. Phys. Soc. Jpn. , vol.67 , Issue.11 , pp. 3844-3858
    • Tsuchida, E.1    Tsukada, M.2
  • 6
    • 0009181011 scopus 로고    scopus 로고
    • Adaptive finite-element for electronic-structure calculations
    • Tsuchida E., and Tsukada M. Adaptive finite-element for electronic-structure calculations. Phys. Rev. B 524 11 (1996) 7602
    • (1996) Phys. Rev. B , vol.524 , Issue.11 , pp. 7602
    • Tsuchida, E.1    Tsukada, M.2
  • 7
    • 24144475862 scopus 로고    scopus 로고
    • Finite elements methods in ab initio electronic structure calculations
    • Pask J.E., and Sterne P.A. Finite elements methods in ab initio electronic structure calculations. Model. Simulat. Mater. Sci. Eng. 13 (2005) 71-96
    • (2005) Model. Simulat. Mater. Sci. Eng. , vol.13 , pp. 71-96
    • Pask, J.E.1    Sterne, P.A.2
  • 9
    • 0034336263 scopus 로고    scopus 로고
    • Real-space mesh techniques in density-functional theory
    • Beck T. Real-space mesh techniques in density-functional theory. Rev. Mod. Phys. 72 4 (2000) 1041-1080
    • (2000) Rev. Mod. Phys. , vol.72 , Issue.4 , pp. 1041-1080
    • Beck, T.1
  • 10
    • 0000054413 scopus 로고    scopus 로고
    • Real-space multigrid-based approach to large-scale electronic structure calculations
    • Briggs E.L., Sullivan D.J., and Bernholc J. Real-space multigrid-based approach to large-scale electronic structure calculations. Phys. Rev. B 54 20 (1996) 14362-14375
    • (1996) Phys. Rev. B , vol.54 , Issue.20 , pp. 14362-14375
    • Briggs, E.L.1    Sullivan, D.J.2    Bernholc, J.3
  • 11
    • 0001351072 scopus 로고
    • Self-consistent first-principles technique with linear scaling
    • Hernandez E., and Gillan M.J. Self-consistent first-principles technique with linear scaling. Phys. Rev. B 51 15 (1995) 10157-10160
    • (1995) Phys. Rev. B , vol.51 , Issue.15 , pp. 10157-10160
    • Hernandez, E.1    Gillan, M.J.2
  • 12
    • 0001439552 scopus 로고    scopus 로고
    • Towards grid-based O(N) density-functional theory methods: optimized non-orthogonal orbitals and multigrid acceleration
    • Fattebert J.-L., and Bernholc J. Towards grid-based O(N) density-functional theory methods: optimized non-orthogonal orbitals and multigrid acceleration. Phys. Rev. B 62 3 (2000) 1713-1722
    • (2000) Phys. Rev. B , vol.62 , Issue.3 , pp. 1713-1722
    • Fattebert, J.-L.1    Bernholc, J.2
  • 13
    • 3843061168 scopus 로고    scopus 로고
    • Linear scaling first-principles molecular dynamics with controlled accuracy
    • Fattebert J.-L., and Gygi F. Linear scaling first-principles molecular dynamics with controlled accuracy. Comput. Phys. Commun. 162 (2004) 24-36
    • (2004) Comput. Phys. Commun. , vol.162 , pp. 24-36
    • Fattebert, J.-L.1    Gygi, F.2
  • 14
    • 0000544586 scopus 로고
    • Real-space adaptive-coordinate electronic-structure calculations
    • Gygi F., and Galli G. Real-space adaptive-coordinate electronic-structure calculations. Phys. Rev. B 52 4 (1995) 2229-2232
    • (1995) Phys. Rev. B , vol.52 , Issue.4 , pp. 2229-2232
    • Gygi, F.1    Galli, G.2
  • 15
    • 0001686146 scopus 로고    scopus 로고
    • Adaptive-coordinate real-space electronic-structure calculations for atoms, molecules, and solids
    • Modine N.A., Zumbach G., and Kaxiras E. Adaptive-coordinate real-space electronic-structure calculations for atoms, molecules, and solids. Phys. Rev. B 55 16 (1997) 1337-1340
    • (1997) Phys. Rev. B , vol.55 , Issue.16 , pp. 1337-1340
    • Modine, N.A.1    Zumbach, G.2    Kaxiras, E.3
  • 16
    • 0002466739 scopus 로고    scopus 로고
    • Finite difference schemes and block Rayleigh Quotient Iteration for electronic structure calculations on composite grids
    • Fattebert J.-L. Finite difference schemes and block Rayleigh Quotient Iteration for electronic structure calculations on composite grids. J. Comput. Phys. 149 (1999) 75-94
    • (1999) J. Comput. Phys. , vol.149 , pp. 75-94
    • Fattebert, J.-L.1
  • 17
    • 0029292155 scopus 로고
    • Real space approach to electronic-structure calculations
    • Tsuchida E., and Tsukada M. Real space approach to electronic-structure calculations. Sol. State Com. 94 1 (1995) 5-8
    • (1995) Sol. State Com. , vol.94 , Issue.1 , pp. 5-8
    • Tsuchida, E.1    Tsukada, M.2
  • 18
    • 85190095616 scopus 로고    scopus 로고
    • S. Kohn, J. Weare, M. Ong, S. Baden, Software abstractions and computational issues in parallel structured adaptative mesh methods for electronic structure calculations, in: Proceedings of the of Workshop on Structured Adaptative Mesh Refinement Grid Methods, Minneapolis, 1997.
  • 19
    • 0037171879 scopus 로고    scopus 로고
    • Managing application complexity in the SAMRAI object-oriented framework
    • Hornung R., and Kohn S. Managing application complexity in the SAMRAI object-oriented framework. Concurr. Comput.: Pract. Ex. 14 (2002) 347-368
    • (2002) Concurr. Comput.: Pract. Ex. , vol.14 , pp. 347-368
    • Hornung, R.1    Kohn, S.2
  • 21
    • 0442298658 scopus 로고    scopus 로고
    • Multigrid techniques for finite elements on locally refined meshes
    • Becker R., and Braack M. Multigrid techniques for finite elements on locally refined meshes. Numer. Linear Algebra Appl. 7 (2000) 363-379
    • (2000) Numer. Linear Algebra Appl. , vol.7 , pp. 363-379
    • Becker, R.1    Braack, M.2
  • 22
    • 33744691386 scopus 로고
    • Ground state of the electron gas by a stochastic method
    • Ceperley D.M., and Alder B.J. Ground state of the electron gas by a stochastic method. Phys. Rev. Lett. 45 (1980) 566-569
    • (1980) Phys. Rev. Lett. , vol.45 , pp. 566-569
    • Ceperley, D.M.1    Alder, B.J.2
  • 23
    • 26144450583 scopus 로고
    • Self-interaction correction to density-functional approximations for many electrons systems
    • Perdew J.P., and Zunger A. Self-interaction correction to density-functional approximations for many electrons systems. Phys. Rev. B 23 (1981) 5048-5079
    • (1981) Phys. Rev. B , vol.23 , pp. 5048-5079
    • Perdew, J.P.1    Zunger, A.2
  • 24
    • 3843151847 scopus 로고    scopus 로고
    • Finite difference methods for ab initio electronic structure and quantum transport calculations of nanostructures
    • Ciarlet P., and Le Bris C. (Eds), Elsevier Science
    • Fattebert J.-L., and Buongiorno Nardelli M. Finite difference methods for ab initio electronic structure and quantum transport calculations of nanostructures. In: Ciarlet P., and Le Bris C. (Eds). Handbook of Numerical Analysis vol. X (2003), Elsevier Science 571
    • (2003) Handbook of Numerical Analysis , vol.X , pp. 571
    • Fattebert, J.-L.1    Buongiorno Nardelli, M.2
  • 25
    • 34547564932 scopus 로고
    • Forces in molecules
    • Feynman R. Forces in molecules. Phys. Rev. 56 (1939) 340-343
    • (1939) Phys. Rev. , vol.56 , pp. 340-343
    • Feynman, R.1
  • 26
    • 84945709150 scopus 로고
    • Iterative procedures for nonlinear integral equations
    • Anderson D.G. Iterative procedures for nonlinear integral equations. J. Ass. Comput. Mach. 12 4 (1965) 547-560
    • (1965) J. Ass. Comput. Mach. , vol.12 , Issue.4 , pp. 547-560
    • Anderson, D.G.1
  • 27
    • 84966244637 scopus 로고
    • The fast adaptive composite grid (FAC) method for elliptic equations
    • McCormick S., and Thomas J. The fast adaptive composite grid (FAC) method for elliptic equations. Math. Comp. 46 174 (1986) 439-456
    • (1986) Math. Comp. , vol.46 , Issue.174 , pp. 439-456
    • McCormick, S.1    Thomas, J.2
  • 28
    • 0442325317 scopus 로고    scopus 로고
    • Preconditioning complicated finite elements by simple finite elements
    • Brenner S. Preconditioning complicated finite elements by simple finite elements. SIAM J. Sci. Comput. 17 5 (1996) 1269-1274
    • (1996) SIAM J. Sci. Comput. , vol.17 , Issue.5 , pp. 1269-1274
    • Brenner, S.1
  • 29
    • 84886852494 scopus 로고    scopus 로고
    • hypre: A library of high performance preconditioners
    • Computational Science - ICCS 2002 Part III. Sloot P., Tan C., Dongarra J., and Hoekstra A. (Eds), Springer-Verlag
    • Falgout R., and Yang U. hypre: A library of high performance preconditioners. In: Sloot P., Tan C., Dongarra J., and Hoekstra A. (Eds). Computational Science - ICCS 2002 Part III. Lecture Notes in Computer Science vol. 2331 (2002), Springer-Verlag 632-641
    • (2002) Lecture Notes in Computer Science , vol.2331 , pp. 632-641
    • Falgout, R.1    Yang, U.2
  • 30
    • 33645885675 scopus 로고
    • Solution of Schrödinger's equation for large systems
    • Teter M.P., Payne M.C., and Allan D.C. Solution of Schrödinger's equation for large systems. Phys. Rev. B 40 18 (1989) 12255-12263
    • (1989) Phys. Rev. B , vol.40 , Issue.18 , pp. 12255-12263
    • Teter, M.P.1    Payne, M.C.2    Allan, D.C.3
  • 31
    • 84966234195 scopus 로고
    • Parallel multilevel preconditioners
    • Bramble J.H., Pasciak J.E., and Xu J. Parallel multilevel preconditioners. Math. Comp. 55 191 (1990) 1-22
    • (1990) Math. Comp. , vol.55 , Issue.191 , pp. 1-22
    • Bramble, J.H.1    Pasciak, J.E.2    Xu, J.3
  • 32
    • 0000160164 scopus 로고    scopus 로고
    • Separable dual-space Gaussian pseudopotentials
    • Goedecker S., Teter M., and Hutter J. Separable dual-space Gaussian pseudopotentials. Phys. Rev. B 54 3 (1996) 1703-1710
    • (1996) Phys. Rev. B , vol.54 , Issue.3 , pp. 1703-1710
    • Goedecker, S.1    Teter, M.2    Hutter, J.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.