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METHOD:PUBLISH
X-WR-CALNAME:Ph.D. Thesis Defense
X-WR-TIMEZONE:America/New_York
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TZID:America/New_York
X-LIC-LOCATION:America/New_York
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TZOFFSETFROM:-0500
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DTSTART:19700308T020000
RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=2SU
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DTSTART:19701101T020000
RRULE:FREQ=YEARLY;BYMONTH=11;BYDAY=1SU
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20140805T110000
DTEND;TZID=America/New_York:20140805T125000
LOCATION:MB106
URL:http://www.math.psu.edu/seminars/meeting.php?id=23432
SUMMARY:Ph.D. Thesis Defense - "The auxiliary space technique for linear so
lvers"
DESCRIPTION:Seminar: Ph.D. Thesis Defense\nTitle: "The auxiliary space tech
nique for linear solvers"\nSpeaker: Lu Wang\, Adviser: Jinchao Xu\, Penn
State\nAbstract: Developing efficient iterative methods and parallel algor
ithms for solving sparse linear systems discretized partial differential e
quations (PDEs) is still a challenging tasks in scientific computing and p
ractical applications. Though many mathematically optimal solvers such as
the multigrid method have been developed\, the unfortunate reality is that
multigrid methods have not been much used in practical applications. Base
d on the methodology of Fast Auxiliary Space Preconditioning (FASP)\, we d
evelop formulate and analyze preconditioning techniques that will narrow t
he gap between theory and practice\, specifically by developing mathematic
ally optimal solvers that are robust and easy to use in practice. A new pa
rallel unsmoothed aggregation algebraic multigrid (UA-AMG) method for a PD
E defined on an unstructured from the hierarchical structured coarse grid.
It provides (nearly) optimal load balance and predictable communication p
atterns factors that make our new algorithm suitable for parallel computin
g. We will also try to extend the FASP techniques to saddle point and inde
finite problems. Finally we present applications and show results from sev
eral application areas.
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