Numerical solution of bioheat transfer equation by means of the dual reciprocity BEM

• Autorzy: Drozdek J. , Majchrzak E.
• Języki publikacji: EN

Abstrakty

EN

Application of the standard boundary element method for numerical solution of the bioheat transfer equation requires discretization not only the boundary but also the interior of the domain considered. It results from the presence of internal heat sources in the biological tissue (metabolic and perfusion sources). In this paper the variant of the BEM which is connected only with the boundary discretization is presented. It is the essential advantage of the algorithm proposed in comparison with the classical one. As example, the problem of temperature field computations in heating biological tissue domain is solved.

Słowa kluczowe

EN

bioheat transfer equation; biological tissue; dual reciprocity BEM; numerical solution

PL

tkanka biologiczna; rozwiązanie numeryczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2007
• Tom: Vol. 6, nr 1
• Strony: 47--56
• Opis fizyczny: Bibliogr. 6 poz., rys.

Twórcy

autor

Drozdek J.

autor

Majchrzak E.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Gliwice, Poland,

Bibliografia

• [1] Majchrzak E., Mochnacki B., Sensitivity analysis and inverse problems in bio-heat transfer modelling, Computer Assisted Mechanics and Engineering Sciences 2006, 13, 85-108.
• [2] Drozdek J., Modelling of temperature field in the domains with internal heat sources and its application in bioheat transfer problems, Doctoral Theses, Czestochowa 2003.
• [3] Brebbia C.A., Domingues J., Boundary elements, an introductory course, CMP, McGraw-Hill Book Company, London 1992.
• [4] Majchrzak E., Boundary element method in heat transfer, Czestochowa University of Technology, Czestochowa 2001 (in Polish).
• [5] Patridge P.W., Brebbia C.A., Wrobel L.C., The dual reciprocity boundary element method, CMP, London, New York 1992.
• [6] Majchrzak E., Drozdek J., Ładyga E., Paruch M., Computer implementation of the dual reciprocity BEM for 2D Poisson’s equation, Scientific Research of the Institute of Mathematics and Computer Science 2006, 1(5), 95-105.