Efficient and accurate three-dimensional Poisson solver for surface problems

被引:100
|
作者
Genovese, Luigi [1 ]
Deutsch, Thierry
Goedecker, Stefan
机构
[1] CEA, SP2M L Sim, Dept Rech Fondamentale La Matiere Condensee, F-38054 Grenoble, France
[2] Univ Basel, Inst Phys, CH-4056 Basel, Switzerland
来源
JOURNAL OF CHEMICAL PHYSICS | 2007年 / 127卷 / 05期
关键词
D O I
10.1063/1.2754685
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
We present a method that gives highly accurate electrostatic potentials for systems where we have periodic boundary conditions in two spatial directions but free boundary conditions in the third direction. These boundary conditions are needed for all kinds of surface problems. Our method has an O(N log N) computational cost, where N is the number of grid points, with a very small prefactor. This Poisson solver is primarily intended for real space methods where the charge density and the potential are given on a uniform grid.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] Efficient and accurate solver of the three-dimensional screened and unscreened Poisson's equation with generic boundary conditions
    Cerioni, Alessandro
    Genovese, Luigi
    Mirone, Alessandro
    Sole, Vicente Armando
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2012, 137 (13):
  • [2] Fast Poisson solver in a three-dimensional ellipsoid
    Lai, MC
    [J]. CURRENT TRENDS IN SCIENTIFIC COMPUTING, 2003, 329 : 203 - 208
  • [3] A scalable parallel Poisson solver for three-dimensional problems with one periodic direction
    Gorobets, A.
    Trias, F. X.
    Soria, M.
    Oliva, A.
    [J]. COMPUTERS & FLUIDS, 2010, 39 (03) : 525 - 538
  • [4] Three-dimensional cylindrical Poisson solver with vacuum boundary conditions
    Moon, S.
    [J]. 14TH INTERNATIONAL CONFERENCE ON NUMERICAL MODELING OF SPACE PLASMA FLOWS (ASTRONUM-2019), 2020, 1623
  • [5] A High-Order Accurate Wavelet Method for Solving Three-Dimensional Poisson Problems
    Liu, Xiaojing
    Wang, Jizeng
    Zhou, Youhe
    [J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2015, 107 (06): : 433 - 446
  • [6] Parallel FFT-based Poisson solver for isolated three-dimensional systems
    Budiardja, Reuben D.
    Cardall, Christian Y.
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 2011, 182 (10) : 2265 - 2275
  • [7] Three-dimensional multi-grid Poisson solver for modeling semiconductor devices
    Wigger, SJ
    Saraniti, M
    Goodnick, SM
    [J]. 1999 INTERNATIONAL CONFERENCE ON MODELING AND SIMULATION OF MICROSYSTEMS, 1999, : 415 - 418
  • [8] Efficient marching solver for a class of three-dimensional optical waveguides
    Zhu, Jianxin
    Yang, Hao
    [J]. OPTICS EXPRESS, 2018, 26 (12): : 15110 - 15123
  • [9] Accurate and Efficient Calculation of Three-Dimensional Cost Distance
    Chen, Yaqian
    She, Jiangfeng
    Li, Xingong
    Zhang, Shuhua
    Tan, Junzhong
    [J]. ISPRS INTERNATIONAL JOURNAL OF GEO-INFORMATION, 2020, 9 (06)
  • [10] Three-dimensional Poisson solver for a charged beam with large aspect ratio in a conducting pipe
    Qiang, J
    Gluckstern, RL
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 2004, 160 (02) : 120 - 128