We consider a phase-field fracture propagation model, which consists of two (nonlinear) coupled partial differential equations. The first equation describes the displacement evolution, and the second is a smoothed indicator variable, describing the crack position. We propose an iterative scheme, the so-called L-scheme, with a dynamic update of the stabilization parameters during the iterations. Our algorithmic improvements are substantiated with two numerical tests. The dynamic adjustments of the stabilization parameters lead to a significant reduction of iteration numbers in comparison to constant stabilization values.
CITATION STYLE
Engwer, C., Pop, I. S., & Wick, T. (2021). Dynamic and Weighted Stabilizations of the L-scheme Applied to a Phase-Field Model for Fracture Propagation. In Lecture Notes in Computational Science and Engineering (Vol. 139, pp. 1177–1184). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-55874-1_117
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