TY - GEN A1 - Gräser, Carsten A1 - Sack, Uli A1 - Sander, Oliver T1 - Truncated Nonsmooth Newton Multigrid Methods for Convex Minimization Problems N2 - We present a new inexact nonsmooth Newton method for the solution of convex minimization problems with piecewise smooth, pointwise nonlinearities. The algorithm consists of a nonlinear smoothing step on the fine level and a linear coarse correction. Suitable postprocessing guarantees global convergence even in the case of a single multigrid step for each linear subproblem. Numerical examples show that the overall efficiency is comparable to multigrid for similar linear problems. Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/512 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-5123 ER -