Katedra Teorii Optymalizacji i Sterowania

TALK TITLE: Survey of multigrid methods for constrained, nonsmooth, convex minimization problems with applications to obstacle problem

ABSTRACT: We will go over series of refinement of classical iterative multigrid optimization scheme. Starting from basic multigrid method for linear equations to Truncated Nonsmooth Newton Multigrid (TNNM) method for more general case. Examples of usages will be based on obstacle problem.

The talk is based on: Carsten Gräser, Ralf Kornhuber, MULTIGRID METHODS FOR OBSTACLE PROBLEMS, Journal of Computational Mathematics, Vol. 27, No. 1 (January 2009), pp. 1-44 https://www.jstor.org/stable/43693490
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Truncated Nonsmooth Newton Multigrid Methods for Block-Separable Minimization Problems Carsten Gräser, Oliver Sander https://arxiv.org/pdf/1709.04992.pdf

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