تقرير
Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability
| العنوان: | Variational approximation for a non-isothermal coupled phase-field system: Structure-preservation & Nonlinear stability |
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| المؤلفون: | Brunk, Aaron, Habrich, Oliver, Oyedeji, Timileyin David, Yang, Yangyiwei, Xu, Bai-Xiang |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs |
| الوصف: | A Cahn-Hilliard-Allen-Cahn phase-field model coupled with a heat transfer equation, particularly with full non-diagonal mobility matrices, is studied. After reformulating the problem w.r.t. the inverse of temperature, we proposed and analysed a structure-preserving approximation for the semi-discretisation in space and then a fully discrete approximation using conforming finite elements and time-stepping methods. We prove structure-preserving property and discrete stability using relative entropy methods for the semi-discrete and fully discrete case. The theoretical results are illustrated by numerical experiments. Comment: 20 pages; 3 figures; 6 pages appendix |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.14566 |
| رقم الأكسشن: | edsarx.2312.14566 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |