Balancing waveform relaxation for age-structured populations in a multilayer environment. (English) Zbl 1158.92042
Summary: 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.
MSC:
| 92D40 | Ecology |
| 35Q92 | PDEs in connection with biology, chemistry and other natural sciences |
| 35A35 | Theoretical approximation in context of PDEs |
| 35A15 | Variational methods applied to PDEs |
References:
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