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Scientific article
English

Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations

Published inNetworks and heterogeneous media, vol. 5, no. 3, p. 487-505
Publication date2010
Abstract

We introduce nonoverlapping domain decomposition algorithms of Schwarz waveform relaxation type for the semilinear reaction-diffusion equation. We define linear Robin and second order (or Ventcell) transmission conditions between the subdomains, which we prove to lead to a well defined and converging algorithm. We also propose nonlinear transmission conditions. Both types are based on best approximation problems for the linear equation and provide efficient algorithms, as the numerical results that we present here show.

Citation (ISO format)
CAETANO, Filipa et al. Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations. In: Networks and heterogeneous media, 2010, vol. 5, n° 3, p. 487–505. doi: 10.3934/nhm.2010.5.487
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ISSN of the journal1556-1801
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