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MATH 6195 - Finite Element Analysis

Course Name: 
Finite Element Analysis
Course Code: 
MATH 6195
Course Credits: 
4
Level: 
Graduate
Prerequisites: 
None. Prior knowledge of elementary computer programming (MATLAB/Octave), Numerical Analysis, Linear Algebra, and Mathematical Analysis will be an asset.
Course Description: 

The Finite Element Method (FEM) is a sophisticated numerical scheme for interpolating the approximate solution to common boundary-value problems of engineering and mathematical physics. It is widely used, as it is a computationally efficient method for modelling real-world problems which typically have unusual geometries and variable material properties. The purpose of this course is to provide graduate students of engineering or applied science with a concise introduction to FEM. Although the theory of finite elements is based on sophisticated elements of mathematical analysis, the main purpose of this course is to provide a concise introduction to the subject.

Content: 
History of FEM, Introduction to PDE and Mathematical Concepts for FEM, Variational Methods, One-Dimensional Problems, Time Dependent Problems, Eigenvalue Problems, Two-Dimensional Problems.
Assessment: 
100% coursework • Two 15% take-home assignments (Theory & Lab Content) – 30% of overall grade; • One two-hour in-course test (Theory Content) - 30% of overall grade; • One project: Practical implementation and testing of numerical algorithms based on theory covered during lectures. Written project report and ppt presentation to be completed – 40% of overall grade.
Categoryofcourses: 
Typeofcourse: 
Electives
coursedegree: 
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