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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2015, Volume 55, Number 9, Pages 1611–1622
DOI: https://doi.org/10.7868/S0044466915090100 (Mi zvmmf10273) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Numerical simulation of cryosurgeries and optimization of probe placement

N. A. Kudryashov, K. E. Shilnikov

Moscow Institute of Engineering Physics, Kashirskoe sh. 31, Moscow, 115409, Russia
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DOI: https://doi.org/10.7868/S0044466915090100
Abstract: Numerical simulation and optimization of cryosurgeries are considered. The Stefan problem that describes thermal processes running in the course of surgery is solved numerically. The finite volume method and enthalpy approach are used. The problem of optimization of the probe positions is solved to improve the surgery efficiency. The optimization problem is solved using nonparametric multiple criteria optimization techniques.
Key words: cryosurgery, heat equation, Stefan problem, numerical methods, finite volume method, enthalpy approach, multiple criteria optimization.
Received: 02.04.2014
Revised: 27.02.2015
English version:
Computational Mathematics and Mathematical Physics, 2015, Volume 55, Issue 9, Pages 1579–1589
DOI: https://doi.org/10.1134/S0965542515090092
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: N. A. Kudryashov, K. E. Shilnikov, “Numerical simulation of cryosurgeries and optimization of probe placement”, Zh. Vychisl. Mat. Mat. Fiz., 55:9 (2015), 1611–1622; Comput. Math. Math. Phys., 55:9 (2015), 1579–1589
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:87
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