241428 Numerical Simulation of PDEs (VÜA) (WiSe 2018/2019)

Short comment

Bei Bedarf wird diese Veranstaltung in englischer Sprache gehalten.

Contents, comment

0) Introduction to the theory of FEM (October 10, 2018)
1) Introduction to C++ (October 17 & 24 & 31, 2018)
2) Visualization techniques (November 7, 2018)

3) 1d: (November 14 & 21 & 28 & December 05, 2018)

  • general problems

4) 2d (general polygonal domain): (December 12 & 19, 2018, January 09 & 16, 2019)

  • Poisson equation
  • Uniform refinement (red refinement)
  • mixed boundary conditions
  • heat equation (time-dependent problems)

5) Projects: (Start: January 30, 2019, end: ~ March 13, 2019 ???)
e.g. Adaptivity (green refinement), Non-linear problems (Allen-Cahn), Stokes equation (P2 FEM), convection-diffusion equations, ...

Requirements for participation, required level

Basis knowledge of numerical Methods for PDEs or at least theory of PDEs, experience with any programming language (like MATLAB, Python) is helpful.
No experience with C++ is required!

Bibliography

see: https://www.ub.uni-bielefeld.de/cgi-bin/clsias?func=SSEM&BenIdn=92184401

Teaching staff

Dates ( Calendar view )

Frequency Weekday Time Format / Place Period  

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Subject assignments

Module Course Requirements  
24-M-P1 Profilierung 1 Profilierungsvorlesung (mit Übung) - Typ 3 Study requirement
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24-M-P1a Profilierung 1 Teil A Profilierungsvorlesung (mit Übung) - Typ 3 Study requirement
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24-M-P1b Profilierung 1 Teil B Profilierungsvorlesung (mit Übung) - Typ 3 Study requirement
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24-M-P2 Profilierung 2 Profilierungsvorlesung (mit Übungen) - Typ 3 Study requirement
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24-M-PWM Profilierung Wirtschaftsmathematik Profilierungsvorlesung (mit Übung) -Typ 3 Study requirement
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24-M-S2-ND Spezialisierung 2 - Numerische und Diskrete Mathematik Masterkurs 2 Numerische / Diskrete Mathematik - Variante 2 Teil 2 Study requirement
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The binding module descriptions contain further information, including specifications on the "types of assignments" students need to complete. In cases where a module description mentions more than one kind of assignment, the respective member of the teaching staff will decide which task(s) they assign the students.


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WS2018_241428@ekvv.uni-bielefeld.de
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Last update basic details/teaching staff:
Wednesday, October 10, 2018 
Last update times:
Thursday, January 24, 2019 
Last update rooms:
Thursday, January 24, 2019 
Type(s) / SWS (hours per week per semester)
lecture with exercises (VÜA) / 3
Department
Faculty of Mathematics
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