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

• Autores: Elise Nourtier-Mazauric, Eric Blayo
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 60, Nº. 1-2, 2010, págs. 83-97
• Idioma: inglés
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• Resumen

  • 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.