Thomas-Fermi equation with non-spherical boundary conditions

M. Friedman; A. Rabinovitch; Y. Rosenfeld; R. Thieberger

doi:10.1016/0021-9991(87)90183-5

Thomas-Fermi equation with non-spherical boundary conditions

M. Friedman, A. Rabinovitch, Y. Rosenfeld, R. Thieberger

Department of Physics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The confined atom Thomas-Fermi equation with non-spherical boundary conditions is considered. A 2-D finite element code for solving the Thomas-Fermi equation with general boundary conditions is demonstrated. Results for both Dirichlet and Neumann boundary conditions for ellipsoids of revolution are presented.

Original language	English
Pages (from-to)	284-294
Number of pages	11
Journal	Journal of Computational Physics
Volume	70
Issue number	2
DOIs	https://doi.org/10.1016/0021-9991(87)90183-5
State	Published - 1 Jan 1987

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/0021-9991(87)90183-5

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title = "Thomas-Fermi equation with non-spherical boundary conditions",

abstract = "The confined atom Thomas-Fermi equation with non-spherical boundary conditions is considered. A 2-D finite element code for solving the Thomas-Fermi equation with general boundary conditions is demonstrated. Results for both Dirichlet and Neumann boundary conditions for ellipsoids of revolution are presented.",

author = "M. Friedman and A. Rabinovitch and Y. Rosenfeld and R. Thieberger",

year = "1987",

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T1 - Thomas-Fermi equation with non-spherical boundary conditions

AU - Friedman, M.

AU - Rabinovitch, A.

AU - Rosenfeld, Y.

AU - Thieberger, R.

PY - 1987/1/1

Y1 - 1987/1/1

N2 - The confined atom Thomas-Fermi equation with non-spherical boundary conditions is considered. A 2-D finite element code for solving the Thomas-Fermi equation with general boundary conditions is demonstrated. Results for both Dirichlet and Neumann boundary conditions for ellipsoids of revolution are presented.

AB - The confined atom Thomas-Fermi equation with non-spherical boundary conditions is considered. A 2-D finite element code for solving the Thomas-Fermi equation with general boundary conditions is demonstrated. Results for both Dirichlet and Neumann boundary conditions for ellipsoids of revolution are presented.

UR - https://www.scopus.com/pages/publications/4644276696

U2 - 10.1016/0021-9991(87)90183-5

DO - 10.1016/0021-9991(87)90183-5

M3 - Article

AN - SCOPUS:4644276696

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EP - 294

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 2

ER -

Thomas-Fermi equation with non-spherical boundary conditions

Abstract

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