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A new cement to glue non-conforming grids with Robin interface conditions

Summary: A new cement to glue non-conforming grids
with Robin interface conditions:
The Finite Volume Case
Y. Achdou  , C. Japhet y , Y. Maday z , F. Nataf x
Robin interface conditions in domain decomposition methods meth-
ods enable the use of non overlapping subdomains and speed up con-
vergence. Non conforming grids make the grid generation much eas-
ier and faster since it is then a parallel task. The goal of this pa-
per is to propose and analyze a discretization scheme which allows
to combine the use of Robin interface conditions with non-matching
grids. We consider both a symmetric de nite positive operator and
the convection-di usion equation discretized by nite volume schemes.
Numerical results are shown.
1 Introduction
The goal of our project is to design a general domain decomposition method
that allows to combine the use of optimized interface conditions with non-
matching grids. In this paper, we consider the convection-di usion equation
u + div(au) (u) = f


Source: Achdou, Yves - Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, Paris 6


Collections: Mathematics