Variational principle for Poisson's equation for an impurity ion in a medium with spatially variable dielectric constant

K. R. Brownstein

doi:10.1103/physrevb.15.5073

Variational principle for Poisson's equation for an impurity ion in a medium with spatially variable dielectric constant

Physical Review B ◽

10.1103/physrevb.15.5073 ◽

1977 ◽

Vol 15 (10) ◽

pp. 5073-5075 ◽

Cited By ~ 8

Author(s):

K. R. Brownstein

Keyword(s):

Dielectric Constant ◽

Variational Principle ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ion

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Comment on: "Variational principle for Poisson's equation for an impurity ion in a medium with spatially variable dielectric constant" by K. R. Brownstein

Physical Review B ◽

10.1103/physrevb.17.2793 ◽

1978 ◽

Vol 17 (6) ◽

pp. 2793-2794 ◽

Cited By ~ 4

Author(s):

P. Csavinszky

Keyword(s):

Dielectric Constant ◽

Variational Principle ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ion

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Addendum to "Variational principle for Poisson's equation for an impurity ion in a medium with spatially variable dielectric constant"

Physical Review B ◽

10.1103/physrevb.22.2131 ◽

1980 ◽

Vol 22 (4) ◽

pp. 2131-2131 ◽

Cited By ~ 4

Author(s):

K. R. Brownstein

Keyword(s):

Dielectric Constant ◽

Variational Principle ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ion

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Reply to: "Comment on: `Variational principle for Poisson's equation for an impurity ion in a medium with spatially variable dielectric constant' "

Physical Review B ◽

10.1103/physrevb.17.2795 ◽

1978 ◽

Vol 17 (6) ◽

pp. 2795-2795 ◽

Cited By ~ 3

Author(s):

K. R. Brownstein

Keyword(s):

Dielectric Constant ◽

Variational Principle ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ion

Download Full-text

Solution of a nonlinear Poisson’s equation for the potential of impurity ions in semiconductors with a spatially variable dielectric constant by an equivalent variational method

Physical Review B ◽

10.1103/physrevb.46.13152 ◽

1992 ◽

Vol 46 (20) ◽

pp. 13152-13156 ◽

Cited By ~ 1

Author(s):

S. Noor Mohammad

Keyword(s):

Dielectric Constant ◽

Variational Method ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ions

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Comment on ‘‘Solution of a nonlinear Poisson’s equation for the potential of impurity ions in semiconductors with a spatially variable dielectric constant by an equivalent variational method’’

Physical Review B ◽

10.1103/physrevb.48.1984 ◽

1993 ◽

Vol 48 (3) ◽

pp. 1984-1985 ◽

Cited By ~ 1

Author(s):

K. R. Brownstein

Keyword(s):

Dielectric Constant ◽

Variational Method ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Impurity Ions

Download Full-text

Numerical solution to the nonlinear Poisson's equation including a spatially variable dielectric constant

Physical Review B ◽

10.1103/physrevb.20.1762 ◽

1979 ◽

Vol 20 (4) ◽

pp. 1762-1765 ◽

Cited By ~ 15

Author(s):

J. R. Meyer

Keyword(s):

Dielectric Constant ◽

Numerical Solution ◽

Poisson’S Equation ◽

Poisson's Equation

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The Variational Principle: A Valuable Ally Assisting the Self-Consistent Solution of Poisson’s Equation and Semi-Classical Transport Equations

CMOS Nanoelectronics ◽

10.1201/b13063-14 ◽

2012 ◽

pp. 357-378

Keyword(s):

Variational Principle ◽

Transport Equations ◽

The Self ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Self Consistent ◽

Consistent Solution ◽

Classical Transport

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FFT-Based High Order Central Difference Schemes for Poisson’s Equation with Staggered Boundaries

Journal of Scientific Computing ◽

10.1007/s10915-020-01379-7 ◽

2021 ◽

Vol 86 (1) ◽

Author(s):

Hongsong Feng ◽

Guangqing Long ◽

Shan Zhao

Keyword(s):

High Order ◽

Difference Schemes ◽

Poisson’S Equation ◽

Poisson's Equation ◽

Central Difference

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Extremal Rearrangement Problems Involving Poisson’s Equation with Robin Boundary Conditions

Journal of Scientific Computing ◽

10.1007/s10915-021-01413-2 ◽

2021 ◽

Vol 86 (3) ◽

Author(s):

Chiu-Yen Kao ◽

Seyyed Abbas Mohammadi

Keyword(s):

Boundary Conditions ◽

Poisson’S Equation ◽

Robin Boundary Conditions ◽

Poisson's Equation ◽

Robin Boundary

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Discretization of Poisson’s equation in two domains with non algebraic interface conditions for plasma simulations

Applied Mathematics and Computation ◽

10.1016/j.amc.2021.126179 ◽

2021 ◽

Vol 403 ◽

pp. 126179

Author(s):

Andrea Villa ◽

Luca Barbieri ◽

Roberto Malgesini ◽

Giacomo Buccella

Keyword(s):

Poisson’S Equation ◽

Interface Conditions ◽

Poisson's Equation ◽

Plasma Simulations

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