An adapted deflated conjugate gradient solver for robust extended/generalised finite element solutions of large scale, 3D crack propagation problems
Open access
Date
2022-05-15Type
- Journal Article
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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000547186Publication status
publishedExternal links
Journal / series
Computer Methods in Applied Mechanics and EngineeringVolume
Pages / Article No.
Publisher
ElsevierOrganisational unit
03890 - Chatzi, Eleni / Chatzi, Eleni
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