The finite element neural network and its applications to forward and inverse problems
Other Title(s)
الشبكة العصبية للعناصر المنتهية و تطبيقاتها في مسائل المسار التقدمي و العكسي
Author
Source
Ibn al-Haitham Journal for Pure and Applied Science
Issue
Vol. 19, Issue 4 (31 Dec. 2006), pp.109-124, 16 p.
Publisher
University of Baghdad College of Education for Pure Science / Ibn al-Haitham
Publication Date
2006-12-31
Country of Publication
Iraq
No. of Pages
16
Main Subjects
Natural & Life Sciences (Multidisciplinary)
Abstract AR
يتضمن البحث أعاده صياغة نموذج العناصر المنتهية في هيكل شبكة عصبية، و ذلك لأهمية النموذج و التي تكمن في إعطاء الحلول بدقة عالية و لكثرة حسابات هذه الطريقة يجعلها قليلة الاستخدام لذلك استخدمنا الشبكات العصبية ذات المعالجة المتوازية في إعادة صياغة النموذج لتذليل تلك الصعوبات و تطبيقها على مسائل البعد الثاني و في حل مسائل ذات المسار التقدمي و مسائل ذات السار العكسي و من ثم ناقشنا أفضلية تقارب هذا النموذج مع تحليل سرعة تأثر خوارزمية المسار العكسي في قياس الخطأ.
Abstract EN
١٨ this paper, first we reformulated the ؛«[؛te element model (FEM) into a neural network structure using a simple two -dimensional problem.
The structure of this neural network is described , followed by its application to solving؛ the forward and inverse problems.
'1'his model is then extended to the general case and the advantages and disadvantages of this approach are described along with an analysis of the sensitivity of the algorithm to errors in the measurements.
Consider a typical boundary value problem with the governing differential equation: L،p - f, where L is a differential operator, ؛'is the forcing function and (p is the unl،nown quantity.
'1'his differential equation can be solved ١٦؛ conjunetion with boundary conditions on the boundary ٢ enclosing the domain.
٨ commonly used approach to solve this problem is to use the finite clement approach-
American Psychological Association (APA)
Tawfiq, Lama Naji Muhammad. 2006. The finite element neural network and its applications to forward and inverse problems. Ibn al-Haitham Journal for Pure and Applied Science،Vol. 19, no. 4, pp.109-124.
https://search.emarefa.net/detail/BIM-356014
Modern Language Association (MLA)
Tawfiq, Lama Naji Muhammad. The finite element neural network and its applications to forward and inverse problems. Ibn al-Haitham Journal for Pure and Applied Science Vol. 19, no. 4 (2006), pp.109-124.
https://search.emarefa.net/detail/BIM-356014
American Medical Association (AMA)
Tawfiq, Lama Naji Muhammad. The finite element neural network and its applications to forward and inverse problems. Ibn al-Haitham Journal for Pure and Applied Science. 2006. Vol. 19, no. 4, pp.109-124.
https://search.emarefa.net/detail/BIM-356014
Data Type
Journal Articles
Language
English
Notes
Includes appendix : p. 121-123
Record ID
BIM-356014