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Abstract
In this paper we present a balancing domain decomposition method of Neumann–Neumann type for the numerical approximation of an age-structured population diffusing in a multilayer environment. We give a quasi optimal convergence result for the algorithm via Fourier analysis in a two-layers case, and we address the variational generalization to an arbitrary number of layers as well as its finite dimensional formulation. We illustrate our approach with some numerical results.
Received: 2007-11-23
Published Online: 2008-12-18
Published in Print: 2008-December
© de Gruyter 2008
