Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations

المؤلفون المشاركون

Shi, Dongyang
Yu, Zhiyun

المصدر

Journal of Applied Mathematics

العدد

المجلد 2012، العدد 2012 (31 ديسمبر/كانون الأول 2012)، ص ص. 1-21، 21ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2012-06-04

دولة النشر

مصر

عدد الصفحات

21

التخصصات الرئيسية

الرياضيات

الملخص EN

The nonconforming mixed finite element methods (NMFEMs) are introduced and analyzed for the numerical discretization of a nonlinear, fully coupled stationary incompressible magnetohydrodynamics (MHD) problem in 3D.

A family of the low-order elements on tetrahedra or hexahedra are chosen to approximate the pressure, the velocity field, and the magnetic field.

The existence and uniqueness of the approximate solutions are shown, and the optimal error estimates for the corresponding unknown variables in L2-norm are established, as well as those in a brokenH1-norm for the velocity and the magnetic fields.

Furthermore, a new approach is adopted to prove the discrete Poincaré-Friedrichs inequality, which is easier than that of the previous literature.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Shi, Dongyang& Yu, Zhiyun. 2012. Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029017

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Shi, Dongyang& Yu, Zhiyun. Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-21.
https://search.emarefa.net/detail/BIM-1029017

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Shi, Dongyang& Yu, Zhiyun. Low-Order Nonconforming Mixed Finite Element Methods for Stationary Incompressible Magnetohydrodynamics Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-21.
https://search.emarefa.net/detail/BIM-1029017

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-1029017