A Schwarz auditive method with high order interface conditions and nonoverlapping subdomains
A new domain decomposition method for the compressible Euler equations
In this work we design a new domain decomposition method for the Euler equations in dimensions. The starting point is the equivalence with a third order scalar equation to whom we can apply an algorithm inspired from the Robin-Robin preconditioner for the convection-diffusion equation [Achdou and Nataf, (1997) 1211–1216]. Afterwards we translate it into an algorithm for the initial system and prove that at the continuous level and for a decomposition into sub-domains, it converges...
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