S-Step BiCGStab Algorithms for Geoscience Dynamic Simulations

Ani Anciaux-Sedrakian 1 Laura Grigori 2, 3 Sophie Moufawad 1 Soleiman Yousef 1
2 ALPINES - Algorithms and parallel tools for integrated numerical simulations
LJLL - Laboratoire Jacques-Louis Lions, Inria Paris-Rocquencourt, INSMI - Institut National des Sciences Mathématiques et de leurs Interactions
Abstract : In basin and reservoir simulations, the most expensive and time consuming phase is solving systems of linear equations using Krylov subspace methods such as BiCGStab. For this reason, we explore the possibility of using communication avoiding Krylov subspace methods (s-step BiCGStab), that speedup of the convergence time on modern-day architectures, by restructuring the algorithms to reduce communication. We introduce some variants of s-step BiCGStab with better numerical stability for the targeted systems.
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Ani Anciaux-Sedrakian, Laura Grigori, Sophie Moufawad, Soleiman Yousef. S-Step BiCGStab Algorithms for Geoscience Dynamic Simulations. Oil & Gas Science and Technology - Revue d'IFP Energies nouvelles, Institut Français du Pétrole, 2016, 71 (6), ⟨10.2516/ogst/2016021⟩. ⟨hal-01436729⟩

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