(Created 2010-07-25.)

FINITE ELEMENT METHOD | FHLF01 |

**Aim**

The aim of the course is to provide a method for the solving of physical problems that are described by partial differential equations. The project in the course aims at giving the student an experience and theoretical understanding in solving comprehensive physical problems using the finite element method.

*Knowledge and understanding*

For a passing grade the student must

- understand the derivation of the finite element method for linear problems
- understand how the finite element method is applied to linear problems
- understand the differences between balance laws and constitutive laws
- understand the differences between different boundary conditions and how they are implemented

*Skills and abilities*

For a passing grade the student must

- be able to transform the strong form of a differential equation to the weak form
- be able to establish the finite element formulation from the weak form
- have the knowledge to write a finite element program
- be able to implement boundary conditions

*Judgement and approach*

For a passing grade the student must

- have the ability to analyze, to model and to simulate linear structures with the finite element method, as well as interpret the results
- have the understanding that different technical and physical problems can be modelled and simulated with the same numerical tools

**Contents**

- Discrete systems.
- Strong and weak formulation of differential equations.
- Approximating functions.
- Weighted residual methods and Galerkins method.
- Finite element formulation of heat conduction.
- Finite element formulation of elastic bodies.
- Isoparametric elements and numerical integration.

**Literature**

Ottosen, N.S & Petersson, H.: Introduction to the Finite Element Method. Prentice Hall 1992.

CALFEM - A finite element toolbox to MATLAB. Studentlitteratur.

Wallin, M., Introduction to the Finite Element Method Exercises.