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Title: | Dynamic and Weighted Stabilizations of the L-scheme Applied to a Phase-Field Model for Fracture Propagation | Authors: | Engwer, Christian POP, Sorin Wick, Thomas |
Issue Date: | 2021 | Publisher: | Springer | Source: | Vermolen, Fred; Vuik, Cornelis (Ed.). Numerical Mathematics and Advanced Applications ENUMATH 2019, Springer, p. 1177 -1184 | Series/Report: | Lecture Notes in Computational Science and Engineering | Series/Report no.: | 139 | 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. | Document URI: | http://hdl.handle.net/1942/34093 | ISBN: | 9783030558734 9783030558741 |
DOI: | 10.1007/978-3-030-55874-1_117 | Category: | C1 | Type: | Proceedings Paper |
Appears in Collections: | Research publications |
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