Topic 1

Mathematical Modelling and Introduction to Finite Element Method

1. Development of mathematical models for the structural, heat transfer and dynamic engineering systems
2. Solution of mathematical models by numerical simulations
3. Introduction to finite element method: Discretization, element equation, assembling elements, and convergence of solution

Topic 2

Integral Formulation and Variational Approaches

1. Understand different variational principles and methods
2. Formulate weighted integral for variational formulations
3. Develop integral formulations and using weak formulation for the solution
4. Understand and solve mathematical models for the engineering systems by different variational methods