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. |