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Two-Level Schwarz Preconditioning for Large-Scale HHO Problems
1 : EDF R&D
Nicolas Tardieu
2 : LIP6
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Site web
Sorbonne Université, Centre National de la Recherche Scientifique, Pierre Jolivet
4 Place JUSSIEU 75252 PARIS CEDEX 05 -
France
3 : Centre d'Enseignement et de Recherche en Mathématiques et Calcul Scientifique
(CERMICS)
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Site web
Ecole Nationale des Ponts et Chaussées, Alexandre Ern
6 et 8 avenue Blaise Pascal Cité Descartes - Champs sur Marne 77455 Marne la Vallée Cedex 2 -
France
This work presents a two-level Schwarz domain-decomposition preconditioning
framework with a GenEO coarse space for finite element systems discretized with
Hybrid High-Order (HHO) methods and assembled in code\_aster. It combines a
concise state-of-the-art review on SPD and saddle-point systems, an
implementation contribution ensuring consistent index mapping between
code\_aster and PETSc for seamless coupling with iterative solvers and
preconditioners, and a numerical study on linear elasticity benchmarks.
