1. Exercises in Special Topics in Scientific Computing: Numerical Computation of Electromagnetic Fields (ExSTiSC) Winter Term 2006/2007

2. STiSC Exercises: Administrative Topics  Students will learn how to implement a finite element solver for computational magnetics in C++  Your performance in the exam counts 60% and the exercise counts 40%.  Every single student has to implement the first exercises  In project phase students are allowed to join in groups of 2 or 3 people

3. STiSC Exercises: Administrative Topics  Exercise tasks will be presented every 2 weeks  Use first 3 weeks to familiarize yourselves with C++/CMake  We will provide a skeleton project and data files to you  The tutors will provide assistance to you in the computer lab (room 0.133) at LSS at the dates given on the lecture homepage (see exercise sheets!)

4. STiSC Exercises: Tips Tip 1: The main source of information about the lecture and the exercise is the homepage: http://www10.informatik.uni-erlangen.de/Teaching/Courses/STiSC/ Assignment sheets and other materials will be published there. Visit it frequently! Tip 2: Ask questions!!! The tutors will be happy to think about them and answer them.

5. STiSC Exercises: Tutors In this semester the following tutors will assist you.  Simon Triebenbacher (LSE) simon.triebenbacher@lse.eei.uni-erlangen.de  Christoph Freundl (LSS) christoph.freundl@informatik.uni-erlangen.de  Markus Stürmer (LSS) markus.stuermer@immd10. informatik.uni-erlangen.de  Tobias Gradl (LSS) tobias.gradl@informatik.uni-erlangen.de

6. STiSC Exercises: Overview Goal: Finite Element Solver for Computational Magnetics in 2D  Steps: Abstract model (on paper) Here: Non-destructive Testing sensor. Computational model: Finite Element Mesh. Results on Mesh. Postprocessing to extract interesting quantities

7. STiSC Exercises: FE Solver Building Blocks Mesh & Result In/Out Matrix (Dense, Sparse) Finite Elements (Quads, Triangles) Elements (just Geometry) Assembly (Global System) Solver (Gauss-Seidel, CG) Elements are contained in the mesh and contain only geometric info. (provided by us) The mesh, data & BCs is read/written from/to files and made available in memory. (provided by us) Finite elements implement the mapping from reference to global domain and can compute element matrix and stiffness vector. The assembly object has info about Eqn. numbering and BCs assembles element data to the global system matrix. The Solver can solve a linear system of Equations Ax=b. Dense matrices are used for element matrices and the global system contains a sparse matrix.

8. STiSC Exercises: Agenda  2 weeks per assignment  Assignment sheets will be available 1 week in advance on the website  2 week buffer at the end for extensions

9. Thank you for your attention!  Any further questions… END