DDFV Schwarz Ventcell algorithms
Résumé
Over the last five years, classical and optimized Schwarz methods
with Robin transmission conditions have been developed for
anisotropic elliptic problems discretized by Discrete Duality Finite
Volume (DDFV) schemes. We present here the case of higher order
transmission conditions in the framework of DDFV. We prove
convergence of the algorithm for a large class of symmetric
transmission operators, including the discrete Ventcell operator.
We also illustrate numerically that using optimized Ventcell
transmission conditions leads to much faster algorithms than when
using Robin transmission conditions, especially in case of
anisotropic elliptic operators.