تقرير
Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation
| العنوان: | Dynamic and weighted stabilizations of the $L$-scheme applied to a phase-field model for fracture propagation |
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| المؤلفون: | Engwer, Christian, Pop, Iuliu Sorin, Wick, Thomas |
| سنة النشر: | 2019 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | 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. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1912.07096 |
| رقم الأكسشن: | edsarx.1912.07096 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |