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SUMMARY:Numerical Methods for (Quasi)Variational Inequalities - Part II - 
 Hintermueller\, M (Humboldt-Universitt zu Berlin)
DTSTART:20140424T133000Z
DTEND:20140424T150000Z
UID:TALK52160@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Motivated by the obstacle problem as well as by optimization p
 roblems with partial differential equations subject to pointwise constrain
 ts on the control\, the state or its derivative\, semismooth Newton method
 s and Moreau-Yosida based path-following techniques will be discussed. Bes
 ides the convergence analysis in function space\, mesh\nindependence prope
 rties of the iterations are presented and numerical analysis aspects\, suc
 h as the optimal link between the Moreau-Yosida parameter and the mesh-wid
 th of discretization as well as adaptive finite element methods\, will be 
 addressed. Quasi-variational inequalities involving the $p$-Laplacian and 
 constraints on the gradient\nof the state will be briefly studied\, too. F
 inally\, the potential of the introduced methodology is highlighted by mea
 ns of various applications ranging from phase-separation processes to prob
 lems in mathematical image processing.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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