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Balancing waveform relaxation for age-structured populations in a multilayer environment

  • L. Gerardo-Giorda
Published/Copyright: December 18, 2008
Journal of Numerical Mathematics
From the journal Volume 16 Issue 4

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

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