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Article Dans Une Revue Mathematics Année : 2021

Nonlinearly preconditioned FETI solver for substructured formulations of nonlinear problems

Un solveur FETI préconditionné non linéairement pour les formulations sous-structurées des problèmes non linéaires

Résumé

We propose a new nonlinear version of preconditioning, dedicated to nonlinear substructured and condensed formulations with dual approach – i.e. nonlinear analogues to FETI solver. By increasing the importance of local nonlinear operations, this new technique reduces communications between processors throughout the parallel solving process. More, the tangent systems produced at each step still have the exact shape of classically preconditioned linear FETI problems, which makes the tractability of the implementation barely modified. The efficiency of this new preconditioner is demonstrated on two numerical test cases, namely a water diffusion problem and a nonlinear thermal behavior.
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Dates et versions

hal-01774589 , version 1 (23-04-2018)

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Camille Negrello, Pierre Gosselet, Christian Rey. Nonlinearly preconditioned FETI solver for substructured formulations of nonlinear problems. Mathematics , 2021, Special Issue Advanced Numerical Methods in Computational Solid Mechanics, 9 (24), pp.mathematics-1463043. ⟨10.3390/math9243165⟩. ⟨hal-01774589⟩
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