تقرير
Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators
| العنوان: | Quasi-optimal and pressure robust discretizations of the Stokes equations by moment- and divergence-preserving operators |
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| المؤلفون: | Kreuzer, Christian, Verfürth, Rüdiger, Zanotti, Pietro |
| سنة النشر: | 2020 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis |
| الوصف: | We approximate the solution of the Stokes equations by a new quasi-optimal and pressure robust discontinuous Galerkin discretization of arbitrary order. This means quasi-optimality of the velocity error independent of the pressure. Moreover, the discretization is well-defined for any load which is admissible for the continuous problem and it also provides classical quasi-optimal estimates for the sum of velocity and pressure errors. The key design principle is a careful discretization of the load involving a linear operator, which maps discontinuous Galerkin test functions onto conforming ones thereby preserving the discrete divergence and certain moment conditions on faces and elements. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2002.11454 |
| رقم الأكسشن: | edsarx.2002.11454 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |