A NONOVERLAPPING DOMAIN DECOMPOSITION METHOD FOR THE OSEEN EQUATIONS

1 September 1998

journal article
research article
Published by World Scientific Pub Co Pte Ltd in Mathematical Models and Methods in Applied Sciences

Vol. 08 (06) , 1091-1117
https://doi.org/10.1142/s0218202598000500

Abstract

We describe a nonoverlapping domain decomposition algorithm which can be applied to scalar advection–diffusion reaction problems and the Oseen equations. A convergence result is proved for the continuous algorithm in case of the Oseen equations and stated for the other case. We give some suggestions for the design of the interface conditions used within the algorithm and present some numerical examples.

Keywords

ALGORITHM
CONVERGENCE
DOMAIN DECOMPOSITION
EQUATIONS
SCALAR
GIVE
OSEEN
NONOVERLAPPING DOMAIN

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