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DTSTART:19810329T020000
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UID:news1158@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20210627T202830
DTSTART;TZID=Europe/Zurich:20210507T110000
SUMMARY:Seminar in Numerical Analysis: Erik Burman (University College Lond
 on)
DESCRIPTION:In many applications both in medical science and in the geoscie
 nces the accurate approximation of solutions to wave equations is an impor
 tant component for optimisation or inverse identification. Examples inclu
 de thermoacoustic imaging or high frequency ultrasound treatments in medic
 ine (HIFU) or fault slip analysis in seismology. These problems have in c
 ommon the need for computational solution of an inverse problem where the 
 forward problem is set in a heterogeneous domain. Indeed typically the sou
 nd speed in the bulk domain jumps over material interfaces. Sometimes ther
 e is even a need for coupling of the acoustic and elastodynamic equations 
 in the presence of liquid inclusions. In this talk we will give a snapshot
  of our ongoing work in these topics\, motivated by two such applications:
  HIFU and the propagation of seismic waves. After a brief introduction of 
 the applications we will first discuss the analysis of some approximation 
 methods for inverse initial value problems subject to the wave equation. W
 e will then consider a hybrid high order method for the approximation of w
 ave propagation in heterogeneous media\, using cut element techniques to a
 void meshing of interfaces. Finally we will discuss some open problems tha
 t remain in order to understand the approximation of the inverse initial v
 alue problem in heterogeneous media using high order methods.\\r\\nFor fur
 ther information about the seminar\, please visit this webpage [t3://page?
 uid=1115].
X-ALT-DESC:<p>In many applications both in medical science and in the geosc
 iences the accurate approximation of solutions to wave equations is an imp
 ortant&nbsp\;component for optimisation or inverse identification. Example
 s include thermoacoustic imaging or high frequency ultrasound treatments i
 n medicine (HIFU)&nbsp\;or fault slip analysis in seismology. These proble
 ms have in common the need for computational solution of an inverse proble
 m where the forward problem is set in a heterogeneous domain. Indeed typic
 ally the sound speed in the bulk domain jumps over material interfaces. So
 metimes there is even a need for coupling of the acoustic and elastodynami
 c equations in the presence of liquid inclusions. In this talk we will giv
 e a snapshot of our ongoing work in these topics\, motivated by two such a
 pplications: HIFU and the propagation of seismic waves. After a brief intr
 oduction of the applications we will first discuss the analysis of some ap
 proximation methods for inverse initial value problems subject to the wave
  equation. We will then consider a hybrid high order method for the approx
 imation of wave propagation in heterogeneous media\, using cut element tec
 hniques to avoid meshing of interfaces. Finally we will discuss some open 
 problems that remain in order to understand the approximation of the inver
 se initial value problem in heterogeneous media using high order methods.<
 /p>\n<p>For further information about the seminar\, please visit this <a h
 ref="t3://page?uid=1115" title="Opens internal link in current window">web
 page</a>.</p>
DTEND;TZID=Europe/Zurich:20210507T120000
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