Semismooth Newton Methods in Function Space:Theory, Numerics and Applications
主 题: Semismooth Newton Methods in Function Space:Theory, Numerics and Applications
报告人: Prof. Hintermüller (University of Graz，Austria)
时 间: 2009-05-26 上午10:00 - 11:00
地 点: 理科一号楼 1303
In this talk, an overview over recent developments in the area of generalized
Newton
techniques for solving non-smooth operator equations in function space will be presented. Motivated by optimization problems with partial differential equation (PDE) constraints, the theoretical foundation of generalized differentiation in function space will be laid.Numerical analysis issues such as, for instance, the mesh independence of the resulting so-called semismooth Newton method and special cases of unconditional global(rather than the usual local convergence will be discussed. The talk ends by a report on the successful application of semismooth Newton solvers to a variety of applications ranging from PDE constrained optimization, contact problems in elasticity to mathematical image processing.
