تقرير
The inf-sup stability of the lowest order Taylor-Hood pair on Anisotropic Meshes
| العنوان: | The inf-sup stability of the lowest order Taylor-Hood pair on Anisotropic Meshes |
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| المؤلفون: | Barrenechea, Gabriel R., Wachtel, Andreas |
| سنة النشر: | 2017 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65N12, 65N30, 65N50 |
| الوصف: | Uniform LBB conditions are desirable to approximate the solution of Navier-Stokes, Oseen, and Stokes equations on anisotropic meshes and to enable anisotropic refinements. We prove such conditions for the second order Taylor-Hood pairs $\mathbb{Q}_2 \times \mathbb{Q}_1$ and $\mathbb{P}_2 \times \mathbb{P}_1$ on a class of anisotropic meshes. These meshes may contain refined edge and corner patches. To this end, we generalise Verf\"urth's trick and recent results by some of the authors. Comment: 18 pages, 12 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1093/imanum/drz028 |
| URL الوصول: | http://arxiv.org/abs/1710.07857 |
| رقم الأكسشن: | edsarx.1710.07857 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1093/imanum/drz028 |
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