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2013 | 1 | 23--26
Tytuł artykułu

Parallel algorithms for adaptive time-stepping in radiofrequency liver ablation simulation: implementation on an IBM Blue Gene/P computer

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
This work concerns the mathematical modeling and computer simulations of the heat transfer process. The core is solving the time-dependent partial differential equation of parabolic type. Instead of a uniform discretization of the considered time interval, an adaptive time-stepping procedure is applied in an effort to decrease the simulation time. The procedure is based on the local comparison of the Crank Nicholson and backward Euler approximations. Computer simulation on geometry obtained from a magnetic resonance imaging (MRI) scan of the patient is performed. Results of some preliminary numerical experiments performed on a selected test problems are presented and discussed.(original abstract)
Rocznik
Tom
1
Strony
23--26
Opis fizyczny
Twórcy
autor
  • Bulgarian Academy of Sciences
autor
  • Bulgarian Academy of Sciences
autor
  • Bulgarian Academy of Sciences
autor
  • Bulgarian Academy of Sciences
Bibliografia
  • Chang Isaac A., Nguyen Uyen D., Thermal modeling of lesion growth with radiofrequency ablation devices BioMedical Engineering OnLine 2004, 3:27
  • Axelsson O., Iterative Solution Methods, Cambridge University Press, 1996.
  • Blaheta R., Byczanski P., Kohut R., Stary J., Algorithms for parallel FEM modelling of thermo-mechanical phenomena arising from the disposal of spent nuclear fuel, in: O. Stephansson, J.B. Hudson, L. Jing (Eds.), Coupled Thermo-Hydro-Mechanical-Chemical Processes in Geosystems, Elsevier, 2004.
  • Brenner S., Scott L., The mathematical theory of finite element methods, Texts in applied mathematics, 15, Springer-Verlag, 1994.
  • Hairer E., Norsett S.P., Wanner G., Solving ordinary differential equations I, II, Springer Series in Comp. Math., 2000, 2002.
  • Henson V.E., Yang U.M., BoomerAMG: A parallel algebraic multigrid solver and preconditioner, Applied Numerical Mathematics 41 (1), Elsevier, 2002, 155-177.
  • Kosturski N., Margenov S., Vutov Y., Supercomputer Simulation of Radio-Frequency Hepatic Tumor Ablation, AMiTaNS'12 Proceedings, AIP CP vol. 1487, pp. 120-126.
  • Lawrence Livermore National Laboratory, Scalable Linear Solvers Project, http://www.llnl.gov/CASC/linearsolvers/.
  • Tungjitkusolmun S., Staelin S.T., Haemmerich D., Tsai J.Z., Cao H., Webster J.G., Lee F.T., Mahvi D.M., Vorperian V.R., Three-dimensional finite-element analyses for radio-frequency hepatic tumor ablation, IEEE transactions on biomedical engineering 49 (1), 2002, 3-9.
  • Tungjitkusolmun S., Woo E.J., Cao H., Tsai J.Z., Vorperian V.R., Webster J.G., Thermal-electrical finite element modelling for radio frequency cardiac ablation: Effects of changes in myocardial properties, Medical and Biological Engineering and Computing 38 (5), 2000. 562-568.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171278589

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