401-3640-70L Volume Integral Equations: Theory and Numerics
| Semester | Autumn Semester 2020 |
| Lecturers | R. Hiptmair |
| Periodicity | non-recurring course |
| Language of instruction | English |
| Comment | Number of participants limited to 10. |
Courses
| Number | Title | Hours | Lecturers | ||||
|---|---|---|---|---|---|---|---|
| 401-3640-70 S | Volume Integral Equations: Theory and Numerics Time: Kick-off Sep 15, 2020 04:00 PM Zurich, Every week on Tue, from Oct 13 until Dec 15, 2020, 10 occurrence(s) https://ethz.zoom.us/j/96485320334 Meeting ID: 964 8532 0334 | 2 hrs |
| R. Hiptmair |
Catalogue data
| Abstract | The seminar covers recent research articles on the theory and numerical treatment of volume integral equations for acoustic and electromagnetic scattering problems. |
| Learning objective | Beside conveying knowledge about the functional analytic method for analyzing integral equations and a range of numerical methods, the seminar is also meant to practise scientific presentation skills. |
| Content | Topics (based on research articles) 1. VIE for acoustic scattering 2.The Operator Equations of Lippmann-Schwinger Type for Acoustic and Elec- tromagnetic Scattering Problems in L2 3. VIE for electromagnetic scattering at dielectric bodies 4. Fast Solvers for the Lippmann-Schwinger equation 5. Numerical Solution of the Lippmann–Schwinger Equation by “Approx- imate Approximations” 6. Higher-order Fourier approximation in scattering by two-dimensional, inho- mogeneous media 7. Fast convolution with free-space Green’s functions 8. Fast numerical solution of the electromagnetic medium scattering problem 9. VIE Methods for Time-Harmonic Solutions of Maxwell’s Equations: Discretization, Spectrum and Preconditioning 10. The Discrete Dipole Approximation: an overview and recent developments |
Performance assessment
| Performance assessment information (valid until the course unit is held again) | |
Performance assessment as a semester course | |
| ECTS credits | 4 credits |
| Examiners | R. Hiptmair |
| Type | ungraded semester performance |
| Language of examination | English |
| Repetition | Repetition only possible after re-enrolling for the course unit. |
Learning materials
| No public learning materials available. | |
| Only public learning materials are listed. |
Groups
| No information on groups available. |
Restrictions
| Places | Limited number of places. Special selection procedure. |
| Beginning of registration period | Registration possible from 01.08.2020 |
| Priority | Registration for the course unit is only possible for the primary target group |
| Primary target group | Mathematics BSc (404000)
starting semester 05 Mathematics MSc (437000) Applied Mathematics MSc (437100) Computational Science and Engineering MSc (438000) Mathematics (Mobility) (448000) Computational Science and Engineering (Mobility) (449000) |
| Waiting list | until 21.09.2020 |
| End of registration period | Registration only possible until 11.09.2020 |
Offered in
| Programme | Section | Type | |
|---|---|---|---|
| Mathematics Bachelor | Seminars | W |  |
| Mathematics Master | Seminars | W | |