تقرير
Error analysis for a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations
| العنوان: | Error analysis for a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations |
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| المؤلفون: | Berselli, Luigi C., Kaltenbach, Alex |
| سنة النشر: | 2023 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 35J60, 35Q35, 65N15, 65N30, 76A05 |
| الوصف: | In this paper, we examine a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations ($p(\cdot)$ is variable dependent) and prove orders of convergence by assuming natural fractional regularity assumptions on the velocity vector field and the kinematic pressure. Compared to previous results, we treat the convective term and employ a more practicable discretization of the power-law index $p(\cdot)$. Numerical experiments confirm the quasi-optimality of the a priori error estimates (for the velocity) with respect to fractional regularity assumptions on the velocity vector field and the kinematic pressure. Comment: 36 pages, 4 figures, 4 tables |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2311.00534 |
| رقم الأكسشن: | edsarx.2311.00534 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |