RUS  ENG
Full version
JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 9, Pages 1611–1622 (Mi zvmmf10273)

This article is cited 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

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.

UDC: 519.634

Received: 02.04.2014
Revised: 27.02.2015

DOI: 10.7868/S0044466915090100


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:9, 1579–1589

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025