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تحسين دقة التقارب في تقريب العناصر المحدودة لمعادلات بيضاوي الشكل باستخدام اساليب الاسقاط
Author name:
هدى كريم ناصر
Supervisor name:
ربيع هادي جاري
General topic:
Mathematics
Specific topic:
Mathematics
Degree:
Master
University:
University of Thi-Qar - College Of Science - Department Of Mathematics
Language:
English
University location:
Dhi Qar
First pages:
27T1010 - p.pdf
Abstract:
The superconvergence of finite element solutions is surely an interesting and useful phenomenon in scientific computing of real world problems. The main objective of this thesis of is to construct a new approximation by post - processing an existing finite element solution so that the new approximation is closer to the exact solution than the existing finite element solution. The accuracy of finite element approximation can be improved to obtain superconvergence by applying some post process techniques to them. The - projection method is a such technique. The idea of the method is to make an - projection of existing finite element solutions to another finite element space associated with a coarse mesh. The advantage of this method is that it is easy to implement and can be applied to different elements with general meshes. We will apply the - projection method to obtain the super convergence for the different finite element approximations of the second order elliptic problem. The finite element methods involved are the conforming finite element method and the nonconforming finite method for the second order elliptic problem.
