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Article Dans Une Revue Applied Numerical Mathematics Année : 2010

Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion

Résumé

This paper addresses the problem of deriving efficient interface conditions for solving biharmonic diffusion-advection equations using a Schwarz global-in-time domain decomposition algorithm. General interface conditions are proposed, which lead to well-posed problems on each subdomain. The equation is then studied in the simplified 1D case. Exact non-local absorbing boundary conditions are derived, and are approximated by optimized local interface conditions, the efficiency of which is illustrated by numerical experiments.

Dates et versions

hal-00793770 , version 1 (22-02-2013)

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Elise Nourtier-Mazauric, Eric Blayo. Towards efficient interface conditions for a Schwarz domain decomposition algorithm for an advection equation with biharmonic diffusion. Applied Numerical Mathematics, 2010, 60 (1-2), pp.83-93. ⟨10.1016/j.apnum.2009.10.001⟩. ⟨hal-00793770⟩
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