تقرير
Variation entropy: a continuous local generalization of the TVD property using entropy principles
| العنوان: | Variation entropy: a continuous local generalization of the TVD property using entropy principles |
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| المؤلفون: | Eikelder, M. ten, Akkerman, I. |
| المصدر: | Comput. Methods Appl. Mech. Engrg. 355 (2019) 261-283 |
| سنة النشر: | 2018 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | This paper presents the notion of a variation entropy. This concept is an entropy framework for the gradient of the solution of a conservation law instead of on the solution itself. It appears that all semi-norms are admissible variation entropies. This provides insight into the total variation diminishing property and justifies it from entropy principles. The framework allows to derive new local variation diminishing properties in the continuous form. This can facilitate the design of new numerical methods for problems that contain discontinuities. Comment: Update to postprint version |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1016/j.cma.2019.06.023 |
| URL الوصول: | http://arxiv.org/abs/1808.06447 |
| رقم الأكسشن: | edsarx.1808.06447 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1016/j.cma.2019.06.023 |
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