Numerical Methods for PDEs

Numerical Methods for PDEs - SoSe2014

General Information

Lecturer Dr. Elmar Zander


Assistant Dr. N. Friedman


Schedule Lecture: Wed 09:45-11:15 o'clock in room HS 65.4 (GITZ 012)


Exercises: Wed 15:00-15:45 o'clock in room HS 65.4 (GITZ 012)


Start First week of the semester


Prerequisites Basic courses up to the intermediate diploma


Target group Students of computer science, mathematics, natural or engineering sciences or guest students in their advanced study period, CSE students


Certificates Homework assignments and active participation in the exercises, tests, grading scheme


Office hours Just come around and see if I'm there, or make an appointment with me via email.


Exam

See exams and their results on Friday (19th of September) 14:00-16:00 o'clock, location: room of Dr. Noemi Friedman (HS 65, room 105a )

See prerequisits for the exam here.

Only students achieved min 100 points are allowed to take the exam.

Results of the first three assignments are available. Assignments can be picked up.

Test exam can be downloaded from here, see the solutions here.

Extra tutorial on the test exam and consultation: 6th of August, 2014. 14:00 o'clock in room HS 65.4 (GITZ 012)

Exam: 09:15 o'clock 13rd of August, 2014., in room PK 2.2 (Pockelsstraße 2, Am Okerufer, Chemiehörsaal, 110).

You can bring 2 empty sheets for draft, but the exam will be written on the sheets handled from the institute.

No smart-phones are allowed, only simple calculators. Anyone using any additional devices or notes will get zero points for his/her exam.

Literature

Literature is available here: http://www.biblio.tu-bs.de/semapp/
There go to: Prof. Hermann G. Matthies: Numerical Methods for PDEs.
The password for downloading material has been given in the lecture.

Hitchhiker's guide to notation: notation.ps

Homework Assignments

Assignment 1: Fundamentals of functional analysis (due date postponed to: 16.06.2014), answers for assignment 1

Assignment 2: Galerkin approximation (due date: 21.07.2014), answers for assignment 2

Assignment 3: Implementation (2D) (due date postponed to: 04.08.2014, 9am), answers for assignment 3

Assignment 4: Implementation (1D) (due date potponed to: 06.08.2014, 9am), code for the assignment, solution for assignment 4

Draft of tutorials

Tutorial1: Fundamentals of functional analysis

Tutorial2: Galerkin method

Tutorial3: Convergence, variational crimes, piecewise polynomials and the FEM

Tutorial4: FEM Implementation (isoparametric mapping, assembling the stiffness matrix)

Tutorial5: FEM Implementation (numerical integration)

Tutorial6: FEM Implementation (data structures, assembling matrices, applying BCs)

Tutorial7: FEM Implementation (numerical integration over triangles)