Wavelet Preconditioners of Electrohydrodynamic flow problem
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@Article{JICS-12-203,
author = {M. H. Kantli and M. M. Holliyavar},
title = {Wavelet Preconditioners of Electrohydrodynamic flow problem},
journal = {Journal of Information and Computing Science},
year = {2024},
volume = {12},
number = {3},
pages = {203--209},
abstract = { In this paper wavelet preconditioned method is used for the solution of Electrohydrodynamic
flow problem. A finite difference method is used for the solution of Electrohydrodynamic flow equation. The
method comprise the nonlinear Newton iteration on the outer loop and a linear iteration on the inside loop
where wavelet based preconditioned GMRES (Generalized Minimum Residual) method is used. In the
scheme the Jacobian vector product is approximated accurately with much ease (without forming Jacobian
explicitly and requiring no extra storage). It overcomes the limitations of conventional schemes for the
numerical solution of Electrohydrodynamic flow problem, for computing fluid velocity, covering wide range
of Hartmann electric number (Ha) parameter with constant
of practical interest. To confirm and validate
the solutions obtained, by the present method, are compared with those obtained by GMRES method.
},
issn = {1746-7659},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/jics/22478.html}
}
TY - JOUR
T1 - Wavelet Preconditioners of Electrohydrodynamic flow problem
AU - M. H. Kantli and M. M. Holliyavar
JO - Journal of Information and Computing Science
VL - 3
SP - 203
EP - 209
PY - 2024
DA - 2024/01
SN - 12
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jics/22478.html
KW - Classical preconditioners, Wavelet preconditioners, Electrohydrodynamic flow, Hartmann
electric number.
AB - In this paper wavelet preconditioned method is used for the solution of Electrohydrodynamic
flow problem. A finite difference method is used for the solution of Electrohydrodynamic flow equation. The
method comprise the nonlinear Newton iteration on the outer loop and a linear iteration on the inside loop
where wavelet based preconditioned GMRES (Generalized Minimum Residual) method is used. In the
scheme the Jacobian vector product is approximated accurately with much ease (without forming Jacobian
explicitly and requiring no extra storage). It overcomes the limitations of conventional schemes for the
numerical solution of Electrohydrodynamic flow problem, for computing fluid velocity, covering wide range
of Hartmann electric number (Ha) parameter with constant
of practical interest. To confirm and validate
the solutions obtained, by the present method, are compared with those obtained by GMRES method.
M. H. Kantli and M. M. Holliyavar. (2024). Wavelet Preconditioners of Electrohydrodynamic flow problem.
Journal of Information and Computing Science. 12 (3).
203-209.
doi:
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