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DDFV Schwarz Ventcell algorithms

Abstract : 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.
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Contributor : Florence Hubert <>
Submitted on : Monday, February 8, 2016 - 9:12:04 PM
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Martin Gander, Laurence Halpern, Florence Hubert, Stella Krell. DDFV Schwarz Ventcell algorithms. 22nd International Conference on Domain Decomposition Methods, Institute of Computational Science (ICS) of the Università della Svizzera italiana (USI - University of Lugano) Sep 2013, Lugano, Switzerland. ⟨10.1007/978-3-319-18827-0⟩. ⟨hal-01271251⟩



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