%0 Conference Paper
%F Oral 
%T DDFV Schwarz Ventcell algorithms
%+ Section de mathématiques [Genève]
%+ Laboratoire Analyse, Géométrie et Applications (LAGA)
%+ Institut de Mathématiques de Marseille (I2M)
%+ COmplex Flows For Energy and Environment (COFFEE)
%+ Laboratoire Jean Alexandre Dieudonné (LJAD)
%A Gander, Martin, J.
%A Halpern, Laurence
%A Hubert, Florence
%A Krell, Stella
%< avec comité de lecture
%3 Lecture Notes in Computational Science and Engineering
%B 22nd International Conference on Domain Decomposition Methods
%C Lugano, Switzerland
%Y Thomas Dickopf
%Y Martin J. Gander
%Y Laurence Halpern
%Y Rolf Krause
%Y Luca F. Pavarino
%S Domain Decomposition Methods in Science and Engineering XXII
%V 104
%8 2013-09-16
%D 2013
%R 10.1007/978-3-319-18827-0
%K Discrete Duality Finite Volume schemes
%K Ventcell transmission conditions
%K Schwarz algorithms
%Z Mathematics [math]/Numerical Analysis [math.NA]Conference papers
%X 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.
%G English
%L hal-01271251
%U https://hal.science/hal-01271251
%~ UNICE
%~ UNIV-PARIS13
%~ UNIV-PARIS8
%~ CNRS
%~ INRIA
%~ UNIV-AMU
%~ INRIA-SOPHIA
%~ LAGA
%~ EC-MARSEILLE
%~ INRIASO
%~ DIEUDONNE
%~ INRIA_TEST
%~ TESTALAIN1
%~ I2M
%~ I2M-2014-
%~ INRIA2
%~ DIEUDONNE-EDP-AN
%~ TDS-MACS
%~ USPC
%~ GALILE
%~ UNIV-COTEDAZUR
%~ UNIV-PARIS-LUMIERES
%~ SORBONNE-PARIS-NORD
%~ ACT-R