Published September 16, 2013
| Version v1
Conference paper
DDFV Schwarz Ventcell algorithms
Contributors
Others:
- Section de mathématiques [Genève] ; Université de Genève = University of Geneva (UNIGE)
- Laboratoire Analyse, Géométrie et Applications (LAGA) ; Université Paris 8 Vincennes-Saint-Denis (UP8)-Université Paris 13 (UP13)-Institut Galilée-Centre National de la Recherche Scientifique (CNRS)
- Institut de Mathématiques de Marseille (I2M) ; Aix Marseille Université (AMU)-École Centrale de Marseille (ECM)-Centre National de la Recherche Scientifique (CNRS)
- COmplex Flows For Energy and Environment (COFFEE) ; Inria Sophia Antipolis - Méditerranée (CRISAM) ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)-Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- Laboratoire Jean Alexandre Dieudonné (JAD) ; Université Nice Sophia Antipolis (1965 - 2019) (UNS) ; COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-COMUE Université Côte d'Azur (2015-2019) (COMUE UCA)-Centre National de la Recherche Scientifique (CNRS)-Université Côte d'Azur (UCA)
- Institute of Computational Science (ICS) of the Università della Svizzera italiana (USI - University of Lugano)
- Thomas Dickopf
- Martin J. Gander
- Laurence Halpern
- Rolf Krause
- Luca F. Pavarino
Description
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.
Abstract
International audienceAdditional details
Identifiers
- URL
- https://hal.science/hal-01271251
- URN
- urn:oai:HAL:hal-01271251v1
Origin repository
- Origin repository
- UNICA