Finite Element Method for Elliptic Differential Equations

الموضوعات

علوم بحتة وطبيعية

الملخص

AbstractIn this thesis we will discuss some basic and general theory of the finiteelement method. We will also discuss the variational formulation and discretizationin order to assess the amount of error in the approximate solution appliedto the space segmentation into triangles. For this purpose, first we are goingto study the finite element method for second order elliptic problems in oneand two dimensions and find a posteriori error estimates for Reaction-diffusionproblems and Poisson equation. After that, we will review the modular solutionmethod and the system of fragmentation of differential equations in differentconditions on the limits of the definition range. Also illustrative examples willalso be analyzed using the mathematical programming language ’Matlab’.The a posteriori errors reviewed in this thesis are quantities that measurethe rate of convergence of the numerical solutions of differential equationsto the exact solution using a particular element method that can be estimatedbased on the approximate solution and the information available on differentialequations. The advantage of the numerical errors of differential equations is tomeasure the size of the error in order to make it as small as possible and thus getthe best approximation of the solution. To discuss these errors, there are basicconcepts that will be addressed to explain, and then the errors will be reviewedin details for some partial differential equations.

روابط وملفات

التعريف والنوع

رقم الوثيقة

f3fca369-a2bb-440a-ba3b-9f2b25c78617

رقم العقد

0

نوع الوسائط

Crawler

نوع المحتوى

الرسائل العلمية

صيغة المصدر

رسائل ماجيستير

نوع الملف

pdf text

أسماء الملفات

2017824_1.pdf

بيانات النشر

ألقاب المؤلفين

[{"name_ar":" Alaa Taniniah","title_ar":"اعداد","title_en":"Preparation"},{"name_ar":" Hasan Almanasreh","title_ar":"اشراف","title_en":"Supervision"}]

اللغة

English

المصدر والدورية

اسم المصدر

Finite Element Method for Elliptic Differential Equations

المحتوى والصفحات

عدد الصفحات

0

إشراف وإعداد

الإشراف

Hasan Almanasreh

الإعداد

Alaa Taniniah

الاقتباسات الببليوغرافية