ME4613 Finite Element Methods

Introduction to the fundamental concepts of the finite element method. Weighted residual methods and weak formulation. Element discretization concept and shape functions. Generation of element matrices and vectors, and their assembly into the matrix equation. Application of boundary and initial conditions. Isoparametric elements and numerical integration techniques. Computer programming and application to engineering problems such as boundary value, initial value and eigenvalue problems.

Prerequisite

MA3132 and MA3232 or by consent of instructor.

Lecture Hours

4

Lab Hours

0

Course Learning Outcomes

At the completion of the course students will be able to:

• Apply the weighted residual techniques to a differential equation.
• Derive shape functions for finite elements.
• Implement iso-parametric elements and numerical integration schemes.
• Apply the coordinate transformation from a local to a global coordinate systems.
• Develop finite element stiffness and mass matrices and vectors.
• Assemble element matrices and vectors into the system matrix equation.
• Apply boundary conditions as well as initial conditions for transient problems.
• Write a computer code using any programming language of their choice.