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A finite volume method to compute the steady state temperature distribution in premature or newborn infants
Author(s) -
Fischer B.,
Ludwig M.,
Meister A.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115152
Subject(s) - finite volume method , steady state (chemistry) , volume (thermodynamics) , mathematics , grid , regular polygon , domain (mathematical analysis) , partial differential equation , computer science , mathematical analysis , mechanics , thermodynamics , physics , geometry , chemistry
A mathematical model is developed and used for a computer simulation of the thermoregulation of premature infants. We propose a finite volume technique for the solution of the associated partial differential equation on an unstructured grid. Emphasis is laid on the model and the validation of the numerical scheme. Beside various test runs using real life data, we present a discrete maximum principle for the steady state solution with respect to the non‐convex computational domain. Keywords: Finite volume method, Thermoregulation, Maximum principle.