تقرير
First-order system least-squares finite element method for singularly perturbed Darcy equations
| العنوان: | First-order system least-squares finite element method for singularly perturbed Darcy equations |
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| المؤلفون: | Führer, Thomas, Videman, Juha |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics |
| مصطلحات موضوعية: | Mathematics - Numerical Analysis, 65N12, 65N30 |
| الوصف: | We define and analyse a least-squares finite element method for a first-order reformulation of a scaled Brinkman model of fluid flow through porous media. We introduce a pseudostress variable that allows to eliminate the pressure variable from the system. It can be recovered by a simple post-processing. It is shown that the least-squares functional is uniformly equivalent, i.e., independent of the singular perturbation parameter, to a parameter dependent norm. This norm equivalence implies that the least-squares functional evaluated in the discrete solution provides an efficient and reliable a posteriori error estimator. Numerical experiments are presented. |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2211.08961 |
| رقم الأكسشن: | edsarx.2211.08961 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |