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arXiv · 1912.07096

Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation

Christian Engwer·Iuliu Sorin Pop·Thomas Wick
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Abstract

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.

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Christian Engwer, Iuliu Sorin Pop, Thomas Wick. 2019-12-15. Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation. https://arxiv.org/abs/1912.07096

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