COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Highlighted lecture 1 - Iterative methods in inverse obstacle scattering revisited

## Highlighted lecture 1 - Iterative methods in inverse obstacle scattering revisitedAdd to your list(s) Download to your calendar using vCal - Kress, R (Gttingen)
- Tuesday 26 July 2011, 14:00-15:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Inverse Problems The inverse problem we consider is to determine the shape of an obstacle from the knowledge of the far field pattern for scattering of time-harmonic plane waves. For the sake of simplicity, we will concentrate on the case of scattering from a sound-soft obstacle or a perfect conductor. After reviewing some basics, we will interpret Huygens’ principle as a system of two integral equations, named data and field equation, for the unknown boundary of the scatterer and the induced surface flux. Reflecting the ill-posedness of the inverse obstacle scattering problem these integral equations are ill-posed. They are linear with respect to the unknown flux and nonlinear with respect to the unknown boundary and offer, in principle, three immediate possibilities for their iterative solution via linearization and regularization. We will discuss the mathematical foundations of these algorithms and describe the main ideas of their numerical implementation. Further, we will illuminate various relations between them and exhibit connections and differences to the traditional regularized Newton type iterations as applied to the boundary to far field map. Numerical results in 3D are presented. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
- Featured lists
- INI info aggregator
- Isaac Newton Institute Seminar Series
- School of Physical Sciences
- Seminar Room 1, Newton Institute
- bld31
Note that ex-directory lists are not shown. |
## Other listsMini Courses in Theoretical Computer Science Cambridge Systems Biology Centre Cavendish Knowledge Exchange Working Lunch Series## Other talksMicrotubule Modulation of Myocyte Mechanics CANCELLED DUE TO STRIKE ACTION Recent advances in understanding climate, glacier and river dynamics in high mountain Asia Making Refuge: Issam Kourbaj Diagnosing diseases of childhood: a bioarchaeological and palaeopathological perspective TODAY Adrian Seminar - "Functional synaptic architecture of visual cortex" Sustainability of livestock production: water, welfare and woodland Alzheimer's talks Throwing light on organocatalysis: new opportunities in enantioselective synthesis Genomic Approaches to Cancer Towards bulk extension of near-horizon geometries Adding turbulent convection to geostrophic circulation: insights into ocean heat transport |