A Simplification of the RitzGenEO Recycling Strategy for Adaptive Multi-Preconditioned FETI Applied to Multiple Right-Hand Sides

Michael C. Leistner (1) , Pierre Gosselet (2) , Daniel J. Rixen (1)

1 Institute of Applied Mechanics [Garching]
2 LMT - Laboratoire de Mécanique et Technologie

In this article, a method to accelerate the solution of multiple right-hand side problems when using the adaptive multi-preconditioned finite element tearing and interconnecting algorithm is presented. This is done by deflating the conjugate gradient algorithm by means of a coarse space, which is built by a simplification of the recently published RitzGenEO method. While the proposed method no longer requires to solve local eigenproblems, it is able to maintain a significant part of the reduction in computational cost. Numerical results show a comparison of the methods and appropriate applications for either method are discussed.

Mots clés: Feti; adaptive; multipreconditioned; recycling; geneo; Ritz vectors

Domaines: Analyse numérique [math.NA]; Mécanique des structures [physics.class-ph]

Michael C. Leistner, Pierre Gosselet, Daniel J. Rixen. A Simplification of the RitzGenEO Recycling Strategy for Adaptive Multi-Preconditioned FETI Applied to Multiple Right-Hand Sides. 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Mar 2018, Munich, Germany. ⟨10.1002/pamm.201800204⟩. ⟨hal-01815402⟩