Repository: Freie Universität Berlin, Math Department

Adaptive monotone multigrid methods for some non-smooth optimization problems

Kornhuber, R. (1997) Adaptive monotone multigrid methods for some non-smooth optimization problems. In: Domain decomposition methods in science and engineering: 8th international conference, Bejing, P.R. China. John Wiley & Sons, pp. 177-191. ISBN 047196560X


Official URL:


We consider the fast solution of non-smooth optimization problems as resulting for example from the approximation of elliptic free boundary problems of obstacle or Stefan type. Combining well-known concepts of successive subspace correction methods with convex analysis, we derive a new class of multigrid methods which are globally convergent and have logarithmic bounds of the asymptotic convergence rates. The theoretical considerations are illustrated by numerical experiments.

Item Type:Book Section
Subjects:Mathematical and Computer Sciences > Mathematics > Numerical Analysis
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics
ID Code:1938
Deposited By: Ekaterina Engel
Deposited On:30 Aug 2016 19:58
Last Modified:03 Mar 2017 14:42

Repository Staff Only: item control page