On upwind galerkin finite element method for incompressible flow of contamination, from nuclear waste, in porous media

Joint Authors

Manna, Sad Abd Allah
al-Bayati, Abbas
al-Rawi, Ikhlas S.

Source

al- Rafidain Journal of Computer Sciences and Mathematics

Issue

Vol. 1, Issue 2 (31 Dec. 2004), pp.107-126, 20 p.

Publisher

University of Mosul College of Computer Science and Mathematics

Publication Date

2004-12-31

Country of Publication

Iraq

No. of Pages

20

Main Subjects

Mathematics

Topics

Abstract AR

في منظومة المعادلات التفاضلية اللاخطية التي تصف مخلفات الطاقة في المناطق المسامية لحالة غير قابلة للانضغاط، تم استخدام طريقة كلاركن لحل معادلة الضغط و كذلك تم استخدام تقنية جديدة تستعمل نوعا من العناصر المنتهية الجزئية لحل معادلة التركيز و ذلك بتخمين الخطأ الناتج من القيمة التقريبية لمعادلة التركيز.

الحل العددي باستخدام العناصر المنتهية يحقق قاعدة الحد الأعلى للانفصال و التقارب إلى الحل باستخدام المعيار L∞ (0, T, L2 (Ω).

Abstract EN

Anon-linear parabolic system is derived to describe incompressible nuclear waste disposal contamination in porous media.

Galerkin method is applied for the pressure equation.

For the concentration, a kind of partial upwind finite element scheme is constructed.

The finite element solution satisfies discrete maximum principle and converges to the solution in norm L∞ (0,T,L2 (Ω)).

American Psychological Association (APA)

al-Bayati, Abbas& Manna, Sad Abd Allah& al-Rawi, Ikhlas S.. 2004. On upwind galerkin finite element method for incompressible flow of contamination, from nuclear waste, in porous media. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 1, no. 2, pp.107-126.
https://search.emarefa.net/detail/BIM-361060

Modern Language Association (MLA)

al-Bayati, Abbas…[et al.]. On upwind galerkin finite element method for incompressible flow of contamination, from nuclear waste, in porous media. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 1, no. 2 (2004), pp.107-126.
https://search.emarefa.net/detail/BIM-361060

American Medical Association (AMA)

al-Bayati, Abbas& Manna, Sad Abd Allah& al-Rawi, Ikhlas S.. On upwind galerkin finite element method for incompressible flow of contamination, from nuclear waste, in porous media. al- Rafidain Journal of Computer Sciences and Mathematics. 2004. Vol. 1, no. 2, pp.107-126.
https://search.emarefa.net/detail/BIM-361060

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 125-126

Record ID

BIM-361060