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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Numerical solution of hyperbolic-elliptic systems of conservation 
 laws by multiresolution schemes
DTSTART:20100623T161500
DTSTAMP:20260406T214457Z
UID:b51281defb875ced77f4dffd69687942c684a413a37aa6c54fd566fa
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Stefan Berres\nWe consider the asymptotic solution behavio
 r of hyperbolic-elliptic\nsystems of conservation laws when the initial da
 ta lie inside an\nelliptic region and are chosen almost constant with an o
 nly slightly\nperturbation in a small number of cells. For this setting an
 d a\nparticular system\, Frid and Liu [4] observed the appearance of a hig
 hly\noscillatory solution. We herein capture\, and in part analyze\, such\
 noscillations first for the system studied in [4]\, and then for a\nhyperb
 olic-elliptic system that emerges from a model of sedimentation of\na bidi
 sperse suspension [2]. \n\nSince the generic structure of solutions of ini
 tial value problems of\nthese mixed systems is not yet completely understo
 od\, the main goal of\nthis work is to give a contributition in understand
 ing the essence of\nthe oscilatory phenomena. The novelty of our approach 
 is that we employ\na WENO multiresolution method [3]\, which adaptively co
 ncentrates\ncomputational effort associated with a given numerical scheme 
 for\nsystems of conservation laws on areas of strong variation of the\nsol
 ution. In our case\, the method can be advantageously employed to\ncapture
  the oscillations due to the mixed-type nature of the system [1]\nbecause 
 of its capability to use very fine scales in concentrated\nregions of the 
 domain.
LOCATION:MAA112
STATUS:CONFIRMED
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