Split operator finite element method for modelling pulmonary gas exchange
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A pulmonary gas exchange model which contains six species of interest in three di erent regions is considered. The model leads to a system of coupled non-linear parabolic partial di erential equations and is solved using a transport-reaction split operator scheme. A Galerkin weighted residual nite element method solves the transport algorithm while a simple forward time step is used for the reaction algorithm. Using di erent time scales for the transport and reaction algorithms, we obtain a reasonable approximation of gas exchange.
Copyright 2007 Australian Mathematical Society. The attached file is reproduced here in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.