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Numerical Methods in Continuum Mechanics 1

last update: 2021-10-01

[ Lecture ]  [ Tutorial ]  [ Exercises ]   [ Transparencies ]  [ Lecture Notes ]   [ Additional Literature ]   [ Software ]  [ Links ]  [ General ]   [ Home ]
Lecture
Lecture up

(CourseId 327.005, 2 hours per week, Semester 6)

Lecturer: O.Univ.-Prof. Dr. Ulrich Langer

Time and room:

Wed, Mar 3, 201008:30 - 10:00 Room: T 111Lecture 1
Fri, Mar 5, 201008:30 - 09:15 Room: T 041Lecture 2
Wed, Mar 10, 201008:30 - 10:00 Room: T 111Lecture 3
Wed, Mar 17, 201008:30 - 10:00 Room: T 111Lecture 4
Wed, Mar 24, 201008:30 - 10:00 Room: T 111Lecture 5
Easter Break
Wed, Apr 14, 201008:30 - 10:00 Room: T 111Lecture 6
Wed, Apr 21, 201008:30 - 10:00 Room: T 111Lecture 7
Fri, Apr 23, 201010:15 - 11:00 Room: HS 14Lecture 8
Wed, Apr 28, 201008:30 - 10:00 Room: T 111Lecture 9
Wed, May 5, 201008:30 - 10:00 Room: T 111Lecture 10
Wed, May 12, 201008:30 - 10:00 Room: T 111Lecture 11
Wed, May 19, 201008:30 - 10:00 Room: T 111Lecture 12
Wed, May 26, 201008:30 - 10:00 Room: T 111Lecture 13
Wed, Jun 2, 201008:30 - 10:00 Room: T 111Lecture 14
Fri, Jun 11, 201010:15 - 11:00 Room: HS 14Lecture 15
Wed, Jun 16, 201008:30 - 10:00 Room: T 111Lecture 16
Fri, Jun 25, 201010:15 - 11:00 Room: HS 14Lecture 17
Wed, Jun 30, 201008:30 - 10:00 Room: T 111Lecture 18


- Prüfungsfragen: up
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- Prüfungstermine: up
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Tutorial
Tutorial up

(CourseId 327.006, 1 hour per week, Semester 6)

Tutorials held by: Dr. Satyendra Tomar

Time and room:

Fri, Mar 12, 201010:15 - 11:00 Room: HS 12Tutorial 01
Fri, Mar 19, 201010:15 - 11:00 Room: HS 14Tutorial 02
Fri, Mar 26, 201010:15 - 11:00 Room: HS 14Tutorial 03
Easter Break
Fri, Apr 16, 201010:15 - 11:00 Room: HS 12Tutorial 04
Fri, Apr 30, 201010:15 - 11:00 Room: HS 14Tutorial 05
Fri, May 7, 201010:15 - 11:00 Room: HS 14Tutorial 06
Fri, May 14, 201010:15 - 11:00 Room: HS 14Tutorial 07
Fri, May 21, 201010:15 - 11:00 Room: HS 14Tutorial 08
Fri, May 28, 201010:15 - 11:00 Room: HS 14Tutorial 09
Fri, Jun 4, 2010Rector's DayNo Tutorial
Wed, Jun 9, 201008:30 - 10:00 Room: T 111Tutorial 10/11
Fri, Jun 18, 201010:15 - 11:00 Room: HS 14Tutorial 12
Wed, Jun 23, 201008:30 - 10:00 Room: T 111Tutorial 13/14

Exercises
Exercises up
Tutorial 01Mar 12, 2010pdf
Tutorial 02Mar 19, 2010pdf
Tutorial 03Mar 26, 2010pdf
Tutorial 04Apr 16, 2010pdf
Tutorial 05Apr 30, 2010pdf
Tutorial 06May 7, 2010pdf
Tutorial 07May 14, 2010pdf
Tutorial 08May 21, 2010pdf
Tutorial 09May 28, 2010pdf
Tutorial 10/11Jun 9, 2010pdf
Tutorial 12Jun 18, 2010pdf
Tutorial 13/14Jun 23, 2010pdf

Transparencies
Transparencies up
Transparency 1: b/w1.1.1 Primal VF I
Transparency 2: b/w1.1.1 Primal VF II
Transparency 2a: colourExample 1.3: I
Transparency 2b: colourExample 1.3: II
Transparency 2c: colourTheorem 1.4
Transparency 3: b/wCorollaries 1.6/1.7
Transparency 4: b/w1.2.1 Nonlin. VP
Transparency 5: colour1.2.2 VI 1
Transparency 6: colour1.2.2 VI 2
Transparency 7: colour1.2.2 VI 3
Transparency 7a: colourProof: Existence
Transparency 7b: colourProof: Uniqueness+Nonexp.
Transparency 8: b/wRemark 2.1
Transparency 8a: colourExercises 2.3 and 2.5
Transparency 8b: colourLemma 2.8
Transparency 8c: colourProof
Transparency 8d: colourTheorem 2.9
Transparency 9: colour2.2 Sym. Case I
Transparency 10: colour2.2 Sym. Case II
Transparency 11: colour2.2 Sym. Case III
Transparency 12: b/w2.2 Sym. Case IV
Transparency 13: b/w2.2 Sym. Case V
Transparency 14: colour2.2 Sym. Case VI
Transparency 15: colour2.3 MVP(+) I
Transparency 16: b/w2.3 MVP(+) II
Transparency 17: b/w2.3 MVP(+) III
Transparency 18: colour2.3 MVP(+) IV
Transparency 19: colour2.4 Exercises
Transparency 20: colour2.4.2 Arrow-Hurwicz
Transparency 21: b/w2.4.3 Theorem 2.21
Transparency 22: b/w2.4.3 Proof I
Transparency 23: colour2.4.3 Proof II
Transparency 24: colour2.4.3 Proof III
Transparency 25: colour2.4.3 Example 2.22
Transparency 26: colour2.4.3 Preconditioner
Transparency 27: colour2.4.3 Excerises 2.24/25
Transparency 28: colour3.1. Basic equations
Transparency 29: colour3.2.1 Derivation PVF
Transparency 30: colour3.2.1 PVF=MP
Transparency 31: colour3.2.1 Ass. L&M
Transparency 32: b/w3.2.1 RBM
Transparency 33: b/w3.2.1 1st KORN
Transparency 34: b/w3.2.1 KORN's ineq.
Transparency 35: b/w3.2.1 2nd KORN
Transparency 36: b/w3.2.1 L&M
Transparency 37: b/w3.2.1 Exercise 3.8
Transparency 38: colour3.2.1 FEM
Transparency 39: colour3.2.2 HRP I 1
Transparency 40: b/w3.2.2 HRP I 2
Transparency 41: b/w3.2.2 HRP I 3
Transparency 42: colour3.2.2 HRP I 4
Transparency 43: colour3.2.2 HRP II MFEM
Transparency 44a: b/wPunkt 3.2.3. I
Transparency 44b: b/wPunkt 3.2.3. II
Transparency 44c: b/wPunkt 3.2.3. III
Transparency 44d: b/wPunkt 3.2.3. IV
Transparency 44e: b/wPunkt 3.2.3. V
Transparency 45: colourFE-Discr.
Transparency 46: colourFE-System

Lecture Notes
Basic Lecture Notes up
  1. Langer U.: Numerische Festkörpermechanik (Computational Mechanics), JKU, Linz 1997. pdf-File
  2. Zulehner W.: Lecture Notes for the Course Numerical Methods for Continuum Mechanics 1, JKU, Linz 2006. pdf-File
Additional Literature
Additional Literature up
  1. Braess D.: Finite Elemente: Theorie, schnelle Löser und Anwendungen in der Elastizitätstheorie. Springer Lehrbuch, Berlin, Heidelberg 1997, see also Braess' homepage
  2. Braess D.: Finite Elements: Theory, Fast Solvers and Applications in Solid Mechanics. Cambridge University Press, Cambridge, 1997, 2001, 2007. (= english version of [1])
  3. Brezzi F., Fortin M.: Mixed and Hybrid Finite Element Methods. Springer Series in Computational Mathematics, Vol. 15, Springer-Verlag, New York 1991.
Software
Software up
Links
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General
General Information up
Previous Knowledge: Is required for: Objective:

Get knowledge of analysis tools and of numerical methods for mechanical problems

Contents:
  1. Introduction
  2. Analysis and numerics of mixed boundary value problems
  3. Modelling, analysis and numerics of linear elasticity problems
  4. Structural mechanics
Additional Information: Examinations:

Lecture: oral
Tutorial: The mark of the tutorial consists of the assessment of the individual exercises and the presentations on the blackboard.