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UID:news1161@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20210627T202314
DTSTART;TZID=Europe/Zurich:20210409T110000
SUMMARY:Seminar in Numerical Analysis: Barbara Kaltenbacher (Universität K
 lagenfurt)
DESCRIPTION:High intensity (focused) ultrasound HIFU is used in numerous me
 dical and industrial applications ranging from litotripsy and thermotherap
 y via ultrasound cleaning and welding to sonochemistry. In this talk\, we
  will highlight two computational aspects related to the relevant nonlinea
 r acoustic phenomena\, namely\\r\\n 	absorbing boundary conditions for the
  treatment of open domain problems\; 	optimization tasks for ultrasound fo
 cusing. \\r\\nStrictly speaking\, acoustic sound propagation takes place i
 n full space or at least in a domain that is typically much larger than th
 e region of interest Ω. To restrict attention to a bounded domain Ω\, e.
 g\, for computational purposes\, artificial reflections on the boundary 
 ∂Ω have to be avoided. This can be done by imposing so-called absorbin
 g boundary conditions ABC that induce dissipation of outgoing waves. Here 
 it will turn out to be crucial to take into account nonlinearity of the PD
 E also in these ABC. This is joint work with Igor Shevchenko (Imperial Co
 llege London).  In the context of applications in HIFU\, focusing of nonli
 nearly propagating waves amounts to optimization problems. The design of u
 ltrasound excitation via piezoelectric transducers leads to a boundary con
 trol problem\; focusing high intensity ultrasound by a silicone lens requi
 res shape optimization. For both problem classes\, we will discuss the der
 ivation of gradient information in order to formulate optimality condition
 s and drive numerical optimization methods. This is joint work with Chris
 tian Clason (University of Duisburg-Essen)\, Vanja Nikolić (TU München)
 \, and Gunther Peichl (University of Graz).  Finally we will provide an ou
 tlook on imaging with nonlinearly acoustic waves\, which amounts to identi
 fying  spatially varying coefficients (sound speed and/or coefficient of 
 nonlinearity) in the Westervelt equation. This is recent joint work with 
 Masahiro Yamamoto (University of Tokyo) and William Rundell (Texas A&M Uni
 versity).\\r\\nFor further information about the seminar\, please visit th
 is webpage [t3://page?uid=1115].
X-ALT-DESC:<p>High intensity (focused) ultrasound HIFU is used in numerous 
 medical and industrial applications ranging from litotripsy and thermother
 apy via ultrasound cleaning and welding to sonochemistry.&nbsp\;In this ta
 lk\, we will highlight two computational aspects related to the relevant n
 onlinear acoustic phenomena\, namely</p>\n<ul> 	<li>absorbing boundary con
 ditions for the treatment of open domain problems\;</li> 	<li>optimization
  tasks for ultrasound focusing.</li> </ul>\n<p>Strictly speaking\, acousti
 c sound propagation takes place in full space or at least in a domain that
  is typically much larger than the region of interest Ω. To restrict atte
 ntion to a bounded domain Ω\, e.g\, for computational purposes\, artifici
 al reflections on the boundary ∂Ω&nbsp\;have to be avoided. This can be
  done by imposing so-called absorbing boundary conditions ABC that induce 
 dissipation of outgoing waves. Here it will turn out to be crucial to take
  into account nonlinearity of the PDE also in these ABC.&nbsp\;This is joi
 nt work with Igor Shevchenko (Imperial College London).<br /> <br /> In th
 e context of applications in HIFU\, focusing of nonlinearly propagating wa
 ves amounts to optimization problems. The design of ultrasound excitation 
 via piezoelectric transducers leads to a boundary control problem\; focusi
 ng high intensity ultrasound by a silicone lens requires shape optimizatio
 n. For both problem classes\, we will discuss the derivation of gradient i
 nformation in order to formulate optimality conditions and drive numerical
  optimization methods.&nbsp\;This is joint work with Christian Clason (Uni
 versity of Duisburg-Essen)\, Vanja Nikolić&nbsp\;(TU München)\, and Gunt
 her Peichl (University of Graz).<br /> <br /> Finally we will provide an o
 utlook on imaging with nonlinearly acoustic waves\, which amounts to ident
 ifying&nbsp\; spatially varying coefficients (sound speed and/or coefficie
 nt of nonlinearity) in the Westervelt equation.&nbsp\;This is recent joint
  work with Masahiro Yamamoto (University of Tokyo) and William Rundell (Te
 xas A&amp\;M University).</p>\n<p>For further information about the semina
 r\, please visit this <a href="t3://page?uid=1115" title="Opens internal l
 ink in current window">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20210409T120000
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