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ADAPTIVE DOMAIN DECOMPOSITION METHODS FOR ADVECTION-DIFFUSION PROBLEMS
Abstract

CLAUDIO CARLENZOLI and ALFIO QUARTERONI

Domain decomposition methods can perform poorly on Advection- Diffusion equations if diffusion is dominated by advection. Indeed, the hyperpolic part of the equations could affect the behaviour of iterative schemes among subdomains slowing down dramatically their rate of convergence. Taking into account the direction of the characteristic lines we introduce suitable adaptive alghorithms which are stable with respect to the coefficient in the equations and very effective on model linear boundary value problems.

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