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Journal Articles Comptes Rendus. Mathématique Year : 2014

Parareal multi-model numerical zoom for parabolic multiscale problems

Abstract

We present a time-parallel numerical zoom method for parabolic multiscale problems. A fine finite element solver is defined on a patch where multiscale effects are localized. A coarse finite element solver, based on a coarser time-space discretization, and eventually smoother than the fine one, is defined on the whole domain of the partial differential equation. The coupling between fine and coarse solvers is carried out with an adaptation of the Parareal algorithm. We detail our numerical method and illustrate it with a numerical experiment.
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Dates and versions

hal-00934390 , version 1 (21-01-2014)

Identifiers

  • HAL Id : hal-00934390 , version 1

Cite

Franz Chouly, Alexei Lozinski. Parareal multi-model numerical zoom for parabolic multiscale problems. Comptes Rendus. Mathématique, 2014, 352 (6), pp.535-540. ⟨hal-00934390⟩
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