Course syllabus

# Finita elementmetoden Finite Element Method

## FHLF20, 7,5 credits, G2 (First Cycle)

Valid for: 2019/20
Decided by: PLED M
Date of Decision: 2019-03-27

## General Information

Main field: Technology.
Elective Compulsory for: M3
Elective for: BME4-br, E4, MD4, N4
Language of instruction: The course will be given in English

## 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 aim at giving the student an experience and theoretical understanding in solving comprehensive physical problems using the finite element method.

## Learning outcomes

Knowledge and understanding
For a passing grade the student must

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

Competences and skills
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 analyse, to model and to simulate physical problems 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 Galerkin’s method.
• Finite element formulation of heat conduction.
• Finite element formulation of deformable bodies.
• Finite element formulation of bending.
• Isoparametric elements and numerical integration.

## Examination details

Grading scale: TH - (U,3,4,5) - (Fail, Three, Four, Five)
Assessment: Written exam and approved project assignment. The result of the written exam defines the final mark.

The examiner, in consultation with Disability Support Services, may deviate from the regular form of examination in order to provide a permanently disabled student with a form of examination equivalent to that of a student without a disability.

Parts
Code: 0118. Name: Project.
Credits: 1,5. Grading scale: UG. Assessment: The assignment will be marked with failed or passed. The assignment can only be made during the course but if marked with failed the student will be given the possibility to correct the assignment.
Code: 0218. Name: Examination.
Credits: 6. Grading scale: TH. Assessment: The written examination will be marked with TH grading scale (U,3,4,5).

## Admission

Required prior knowledge: Basic Courses in Mathematics, especially Calculus in Several Variables, and Solid Mechanics.
The number of participants is limited to: No
The course overlaps following course/s: FHLF01, VSMN25, VSMN30

## Reading list

• Ottosen, N.S & Petersson, H.: Introduction to the Finite Element Method. Prentice Hall 1992. ISBN 0-13-473877-2.
• CALFEM - A finite element toolbox to MATLAB. Studentlitteratur.
• Wallin, M., Introduction to the Finite Element Method Exercises.

## Contact and other information

Course coordinator: Ralf Denzer, ralf.denzer@solid.lth.se
Course homepage: http://www.solid.lth.se