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An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems

Agathos, Konstantinos, Dodwell, Tim, Chatzi, Eleni and Bordas, Stéphane P.A. 2022. An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems. Computer Methods in Applied Mechanics and Engineering 395 , 114937. 10.1016/j.cma.2022.114937

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Abstract

An adapted deflation preconditioner is employed to accelerate the solution of linear systems resulting from the discretisation of fracture mechanics problems with well-conditioned extended/generalised finite elements. The deflation space typically used for linear elasticity problems is enriched with additional vectors, accounting for the enrichment functions used, thus effectively removing low frequency components of the error. To further improve performance, deflation is combined, in a multiplicative way, with a block-Jacobi preconditioner, which removes high frequency components of the error as well as near-linear dependencies introduced by enrichment. The resulting scheme is tested on a series of non-planar crack propagation problems and compared to alternative linear solvers in terms of performance.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Additional Information: This is an open access article under the CC BY license (http://creativecommons. org/licenses/by/4.0/).
Publisher: Elsevier
ISSN: 0045-7825
Date of First Compliant Deposit: 26 May 2022
Date of Acceptance: 22 March 2022
Last Modified: 03 Aug 2022 01:24
URI: https://orca.cardiff.ac.uk/id/eprint/149915

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