Einladung zu einem Vortrag von:

Dr. Michael Hintermüller
Universität Graz

Montag, 31. März 2003,
10:15 Uhr, T 111



Mesh independence of semismooth Newton methods


For a class of semismooth operator equations a mesh independence result for generalized Newton methods is established. The main result states that the continuous and the discrete Newton process, when initialized properly, converge q-linearly with the same rate. The problem class considered in the paper includes MCP-function based reformulations of first order conditions of a class of control constrained optimal control problems for partial differential equations for which a numerical validation of the theoretical results is given.


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