# 317.016 Fundamentals of Finite Element Methods This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_20",{id:"j_id_20",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_22",{id:"j_id_22",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2021W 2020W 2019W 2018W 2017W 2016W 2015W 2014W 2013W 2012W 2011W 2011S 2010S 2009S 2008S 2007S 2006S 2005S 2004S 2003S

2020W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture
• Format: Hybrid

## Learning outcomes

After successful completion of the course, students are able to...

… explain the general procedure for a FEM analysis
... derive the weak form of partial differential equations relevant in engineering

... explain the term "discretization"

... describe and employ different types of interpolation functions

... assemble the system matrix

...recognize and describe different types of finite element meshes

... explain the isoparametric principal

## Subject of course

The participants will be guided towards independently discretizing and solving a given partial differential equation. In particular, topics such as choice of basis functions, boundary conditions, and solution methods are essential to the course. The mathematical foundation is touched upon. The lecture is oriented towards partial differential equations relevant in engineering (e.g., solid mechanics or fluid mechanics). Common mistakes when using numerical methods are discussed.

## Teaching methods

Online lecture with power point presentation, derivation of equations, explaining sketches and figures; discussion of case studies

## Mode of examination

Written

This course will be delivered in German language!

Lecture Notes (in German language) can be downloaded by students, who have been subscibed this course in TISS, by registering in group SK.

The lecture units will take place on Tuesdays from 12:15 to 14:30.

## Course dates

DayTimeDateLocationDescription
Tue12:00 - 15:0013.10.2020 - 26.01.2021 tba: voraussichtl. via zoom (LIVE)Fundamentals Finite Element Methods
Fundamentals of Finite Element Methods - Single appointments
DayDateTimeLocationDescription
Tue13.10.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue20.10.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue27.10.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue03.11.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue10.11.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue17.11.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue24.11.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue01.12.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue15.12.202012:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue12.01.202112:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue19.01.202112:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods
Tue26.01.202112:00 - 15:00 tba: voraussichtl. via zoomFundamentals Finite Element Methods

## Examination modalities

The exam is in written format and at least half of the obtainable points are required to pass. If cheating is suspected with regard to a candidate during the examination, we additionally reserve the right to use further means, such as follow-up questions to check the plausibility of answers, after the examination.

ALL EXAMS ARE IN GERMAN LANGUAGE ONLY!

## Exams

DayTimeDateRoomMode of examinationApplication timeApplication modeExam
Fri10:00 - 12:0003.12.2021 Zoom-Link wird über TUWEL bekannt gegebenwritten02.11.2021 09:00 - 02.12.2021 17:00TISSMitte WS
Thu10:00 - 12:0020.01.2022 Zoom-Link wird über TUWEL bekannt gegebenwritten19.12.2021 09:00 - 19.01.2022 17:00TISSEnde WS

## Course registration

Begin End Deregistration end
30.08.2020 08:00 28.02.2021 23:59 28.02.2021 23:59

## Group Registration

GroupRegistration FromTo
SK06.08.2020 08:0012.06.2021 23:59

## Curricula

Study CodeSemesterPrecon.Info
033 245 Mechanical Engineering 5. Semester
Course requires the completion of the introductory and orientation phase
033 282 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
066 473 Chemical and Process Engineering
066 482 Mechanical Engineering - Management
Course requires the completion of the introductory and orientation phase
700 Mechanical Engineering 6. Semester
734 Apparatus, Plant and Process Engineering 8. Semester
735 Chemical Engineering 8. Semester

## Literature

K.-J. Bathe: Finite Elemente Methoden, Springer Verlag, 1986;

Zienkiewicz, Taylor: The Finite Element Method, Fourth Edition, Mc Graw Hill, 1989; T.J.R.

Hughes: The Finite Element Method, Prentice Hall, 1987

## Previous knowledge

Knowledge in mechanics and linear algebra

German