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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Numerical Methods for (Quasi)Variational Inequalit
ies - Part I - Hintermueller\, M (Humboldt-Univers
itt zu Berlin)
DTSTART;TZID=Europe/London:20140424T110000
DTEND;TZID=Europe/London:20140424T123000
UID:TALK52161AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/52161
DESCRIPTION:Motivated by the obstacle problem as well as by op
timization problems with partial differential equa
tions subject to pointwise constraints on the cont
rol\, the state or its derivative\, semismooth New
ton methods and Moreau-Yosida based path-following
techniques will be discussed. Besides the converg
ence analysis in function space\, mesh\nindependen
ce properties of the iterations are presented and
numerical analysis aspects\, such as the optimal l
ink between the Moreau-Yosida parameter and the me
sh-width of discretization as well as adaptive fin
ite element methods\, will be addressed. Quasi-var
iational inequalities involving the $p$-Laplacian
and constraints on the gradient\nof the state will
be briefly studied\, too. Finally\, the potential
of the introduced methodology is highlighted by m
eans of various applications ranging from phase-se
paration processes to problems in mathematical ima
ge processing.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
CONTACT:Mustapha Amrani
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