The Best Interface Conditions for Domain Decomposition Methods : Absorbing Boundary Conditions

@inproceedings{JaphetTheBI,
  title={The Best Interface Conditions for Domain Decomposition Methods : Absorbing Boundary Conditions},
  author={Caroline Japhet and Fr{\'e}d{\'e}ric Nataf}
}
We present an iterative domain decomposition method for solving the convection-diffusion equation. In order to have very fast convergence, we use differential interface conditions of order 1 in the normal direction and of order 2 in the tangential direction to the interface, which are optimized approximations of Absorbing Boundary Conditions. These approximations are different from the ones which are used when truncating an unbounded domain. Numerical tests illustrate this approach. 

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