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Numerical Methods in Electrical Engineering

last update: 2021-10-01
[ Lecture ]  [ Tutorial ]  [ Exercises ]   [ Transparencies ]  [ Lecture Notes ]   [ Additional Literature ]   [ Software ]  [ Links ]  [ General ]   [ Home ]
Lecture
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(CourseId 327.017, 2 hours per week, Semester 6)

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

Time and room:

Thu, Mar 4, 201013:45 - 15:15 Room: T 212Lecture 01
Thu, Mar 4, 201015:30 - 16:15 Room: T 212Lecture 02
Thu, Mar 11, 201013:45 - 15:15 Room: T 212Lecture 03
Thu, Mar 11, 201015:30 - 16:15 Room: T 212Lecture 04
Thu, Mar 18, 201013:45 - 15:15 Room: T 212Lecture 05
Thu, Mar 25, 201013:45 - 15:15 Room: T 212Lecture 06
Thu, Mar 25, 201015:30 - 16:15 Room: T 212Lecture 07
Easter Break
Thu, Apr 15, 201013:45 - 15:15 Room: T 212Lecture 08
Thu, Apr 15, 201015:30 - 16:15 Room: T 212Lecture 09
Thu, Apr 22, 201013:45 - 15:15 Room: T 212Lecture 10
Thu, Apr 29, 201013:45 - 15:15 Room: T 212Lecture 11
Thu, May 6, 201013:45 - 15:15 Room: T 212Lecture 12
Thu, May 13, 2010Holiday
Thu, May 20, 201013:45 - 15:15 Room: T 212Lecture 13
Thu, May 27, 201013:45 - 15:15 Room: T 212Lecture 14
Thu, May 27, 201015:30 - 16:15 Room: T 212Lecture 15
Thu, Jun 3, 2010Holiday
Thu, Jun 10, 201013:45 - 15:15 Room: T 212Lecture 16
Thu, Jun 17, 201013:45 - 15:15 Room: T 212Lecture 17
Thu, Jun 24, 2010Canceled!
Thu, Jul 1, 201013:45 - 15:15 Room: T 212Lecture 18


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Tutorial
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(CourseId 327.026, 1 hour per week, Semester 6)

Tutorials held by: O.Univ.-Prof. Dr. Ulrich Langer

Time and room:

Thu, Mar 18, 201015:30 - 16:15 Room: T 212Tutorial 01
Easter Break
Thu, Apr 22, 201015:30 - 16:15 Room: T 212Tutorial 02
Thu, Apr 29, 201015:30 - 16:15 Room: T 212Tutorial 03
Thu, May 6, 201015:30 - 16:15 Room: T 212Tutorial 04
Thu, May 13, 2010Holiday
Thu, May 20, 201015:30 - 16:15 Room: T 212Tutorial 05
Thu, Jun 3, 2010Holiday
Thu, Jun 10, 201015:30 - 16:15 Room: T 212Tutorial 06
Thu, Jun 17, 201015:30 - 16:15 Room: T 212Tutorial 07
Thu, Jun 24, 2010Canceled!
Thu, Jul 1, 201015:30 - 16:15 Room: T 212Tutorial 08

Exercises
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Tutorial 01Mar 18, 2010pdf
Tutorial 02Apr 22, 2010pdf
Tutorial 03Apr 29, 2010pdf
Tutorial 04May 6, 2010pdf
Tutorial 05May 20, 2010pdf
Tutorial 06Jun 10, 2010pdf
Tutorial 07Jun 17, 2010pdf
Tutorial 08Jul 1, 2010pdf

Transparencies
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Transparency 1: colourIdentities
Transparency 2: colourMaxwell's eqn (overview)
Transparency 3: colourEM model problem
Transparency 4: colourTrace I
Transparency 5: colourTrace II
Transparency 6: colourHD: L 2.9-2.10
Transparency 7: colourHD: Th. 2.11
Transparency 8: colourHD: Th. 2.12
Transparency 9: colourHD: Th. 2.13
Transparency 10: colourDef. 2.18 + L 2.19
Transparency 11: colourProof of L 2.19
Transparency 12: colourTh 2.20
Transparency 13: colourExercise 3.7
Transparency 14: colour3.2.2 Mapping
Transparency 15: colour3.2.3 Implementation
Transparency 16: colour3.2.4 Interpolation
Transparency 17: colourLemma 3.12
Transparency 18: colourTheorem 3.13
Transparency 19: colourCommuting dragram + Th. 3.14
Transparency 20: colourTh. 3.15 + 3.16
Transparency 21: colourde Rham Sequence
Transparency 22: colourDef. 3.17, Prop. 3.15
Transparency 23: colourDef. 3.14, Prop. 3.20
Transparency 24: colour3.4 Error Estimates I
Transparency 25: colour3.4 Error Estimates II
Appendix A1: colourTheorem A1-A3
Appendix B1: colourTheorems B1 and B2
Appendix B2: colourTheorem B3 (Babuška-Aziz)
Appendix B3: colourTheorem B4 (Brezzi)
Appendix B4: b/wTheorems B5 and B6

Lecture Notes
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Additional Literature
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  1. R. Hiptmair: Finite Elements in Computational Electromagnetics. Acta Numerica, 237--339, 2002.
  2. M. Kaltenbacher: Numerical Simulation of Mechatronic Sensors and Actuators. Second Edition, Springer-Verlag, Berlin, Heidelberg, New York, 2007.
  3. A. Kost: Numerische Methoden in der Berechnung elektromagnetischer Felder. Springer-Verlag, Berlin, 1994.
  4. P. Monk: Finite Element Methods for Maxwell's Equations. Oxford University Press, 2003.
  5. U. van Rienen: Numerical Methods in Computational Electrodynamics, Lecture Notes in Computational Science and Engineering 12. Springer-Verlag, Berlin, Heidelberg, 2001.
  6. S. Zaglmayr: High Order Finite Elemenet Methods for Electromagnetic Field Computation. Dissertation, Johannes Kepler University, Linz 2006. Dissertation
  7. P.W. Gross, P.R. Kotiuga: Electromagnetic Theory and Computation: A Topological Approach. Mathematical Sciences Research Institute Publication, v. 48, Cambridge University Press, Cambridge, 2004.
  8. V. Girault, P.-A. Raviart: Finite Element Methods for the Navier-Stokes Equations: Theory and Algorithms. Springer-Verlag, Berlin-Heidelberg, 1986 (see Chapter I, Paragraph 3 for Helmholtz decompositions).
Software
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Links
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General
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Previous Knowledge: Is required for: Objective:

Get knowledge of analysis tools and of numerical methods for solving Maxwell's equations

Contents:
  1. Introduction to Maxwell's Equations
  2. Variational Framework
  3. FEM for Maxwell's Equations
  4. FIT for Maxwell's Equations
  5. Iterative Solvers
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.