A better difference scheme for the Laplace equation in cylindrical coordinates

Journal of Computational Physics ◽

10.1016/0021-9991(82)90070-5 ◽

1982 ◽

Vol 47 (1) ◽

pp. 160-163 ◽

Author(s):

Anders Sköllermo

Keyword(s):

Difference Scheme ◽

Laplace Equation ◽

Cylindrical Coordinates

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A Finite-Difference Scheme for Three-Dimensional Incompressible Flows in Cylindrical Coordinates

Journal of Computational Physics ◽

10.1006/jcph.1996.0033 ◽

1996 ◽

Vol 123 (2) ◽

pp. 402-414 ◽

Author(s):

R. Verzicco ◽

P. Orlandi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Incompressible Flows ◽

Three Dimensional ◽

Cylindrical Coordinates

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Convergence rate estimates for a projection-difference scheme as applied to the nonstationary stokes equation in cylindrical coordinates

Computational Mathematics and Mathematical Physics ◽

10.1134/s0965542510050106 ◽

2010 ◽

Vol 50 (5) ◽

pp. 862-876

Author(s):

E. I. Aksenova

Keyword(s):

Convergence Rate ◽

Difference Scheme ◽

Stokes Equation ◽

Cylindrical Coordinates

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Fully conservative finite difference scheme in cylindrical coordinates for incompressible flow simulations

Journal of Computational Physics ◽

10.1016/j.jcp.2003.12.015 ◽

2004 ◽

Vol 197 (2) ◽

pp. 686-710 ◽

Author(s):

Youhei Morinishi ◽

Oleg V. Vasilyev ◽

Takeshi Ogi

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Incompressible Flow ◽

Finite Difference Scheme ◽

Cylindrical Coordinates ◽

Flow Simulations ◽

Conservative Finite Difference Scheme

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Solutions of the Laplace equation in cylindrical coordinates, driven to 2D harmonic potentials

Advances in Imaging and Electron Physics ◽

10.1016/bs.aiep.2020.06.006 ◽

2020 ◽

pp. 181-193

Author(s):

Igor F. Spivak-Lavrov ◽

Telektes Zh. Shugaeva ◽

Samat U. Sharipov

Keyword(s):

Laplace Equation ◽

Cylindrical Coordinates

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An analysis of one difference scheme for the laplace equation in a singularly perturbed region

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(87)90063-2 ◽

1987 ◽

Vol 27 (5) ◽

pp. 165-171

Author(s):

V.B. Andreyev

Keyword(s):

Difference Scheme ◽

Laplace Equation ◽

Singularly Perturbed

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Electrostatics with reflection symmetry and exact solution of the Dunkl-Laplace equation in cylindrical coordinates

Journal of the Korean Physical Society ◽

10.3938/jkps.68.379 ◽

2016 ◽

Vol 68 (3) ◽

pp. 379-382 ◽

Author(s):

Eun Ji Jang ◽

Sucheol Park ◽

Won Sang Chung

Keyword(s):

Exact Solution ◽

Laplace Equation ◽

Reflection Symmetry ◽

Cylindrical Coordinates

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SOLUTIONS OF THE LAPLACE EQUATION IN CYLINDRICAL COORDINATES, REDUCED TO TWO-DIMENSIONAL HARMONIC POTENTIALS

NAUCHNOE PRIBOROSTROENIE ◽

10.18358/np-30-2-i5160 ◽

2020 ◽

Vol 30 (2) ◽

pp. 51-60

Author(s):

I. F. Spivak-Lavrov ◽

◽

S. U. Sharipov ◽

T. Zh. Shugaeva ◽

◽

...

Keyword(s):

Laplace Equation ◽

Two Dimensional ◽

Cylindrical Coordinates

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A method for solving an exterior boundary value problem for the Laplace equation by overlapping domain decomposition

Sibirskii zhurnal industrial'noi matematiki ◽

10.33048/sibjim.2019.22.309 ◽

2019 ◽

Vol 22 (3) ◽

pp. 104-113

Author(s):

A. O. Savchenko ◽

A. V. Petukhov

Keyword(s):

Boundary Value Problem ◽

Domain Decomposition ◽

Laplace Equation ◽

Boundary Value ◽

Exterior Boundary ◽

Overlapping Domain Decomposition ◽

Exterior Boundary Value Problem

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A difference scheme for a conjugate-operator model of the heat conduction problem on non-matching grids

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20160407 ◽

2016 ◽

Keyword(s):

Heat Conduction ◽

Difference Scheme ◽

Heat Conduction Problem ◽

Conjugate Operator ◽

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Discrete maximum-norm stability of a linearized second order finite difference scheme for Allen-Cahn equation

Сибирский журнал вычислительной математики ◽

10.15372/sjnm20170208 ◽

2017 ◽

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Second Order ◽

Maximum Norm ◽

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