Barbara Kaltenbacher

Mathematics of Nonlinear Acoustics:
Modeling – Analysis – Numerics – Inverse Problems

23. Oktober 2024 at 17:15 Uhr

Ort:

Nuclear Physics Hall (S2|14 24) Schlossgartenstr. 9

Before the scientific talk, from 14:50, the speaker will meet with early career researchers and share experiences from her academic career.

Abstract:

High intensity (focused) ultrasound HIFU is used in numerous medical and industrial applications ranging from litotripsy and thermotherapy via ultrasound cleaning and welding to sonochemistry.

We will highlight some mathematical and computational aspects related to the relevant nonlinear acoustic phenomena, namely

  • modeling of high intensity ultrasound phenomena as second and higher order wave equations,
  • some parameter asymptotics,
  • absorbing boundary conditions for the treatment of open domain problems,
  • optimal shape design, and
  • imaging with nonlinear waves.

This is joint work with Vanja Nikolic (Radboud University), Gunther Peichl (University of Graz), William Rundell (Texas A&M University), Igor Shevchenko (Imperial College London), and Mechthild Thalhammer (University of Innsbruck).

Bio:

Kaltenbacher studied mathematics at Johannes Kepler University Linz, earning a diploma in 1993 and a doctorate in 1996. Her dissertation, Some Newton type methods for the regularization of nonlinear ill-posed problems, was supervised by Heinz Engl.

She was head of a Hertha Firnberg Project funded by the Austrian Science Fund FWF from 1999-2001 and an Emmy Noether Junior Research group funded by the German Research Foundation DFG from 2003-2006. After taking temporary professor positions at the University of Erlangen–Nuremberg, and the University of Göttingen, she became a professor of Optimization at the University of Stuttgart in 2006. She moved to the University of Graz in 2010 as a professor of Applied Mathematics, and to her present position in Klagenfurt in 2011. Barbara Kaltenbacher was president of the Austrian Mathematical Society from 2018-2021, chair of the scientific advisory board of the Weierstrass Institute from 2015-2021, and was elected as a corresponding member of the Austrian Academy of Sciences in 2021.