Kornhuber, R. (1997) Adaptive monotone multigrid methods for some nonsmooth optimization problems. In: Domain decomposition methods in science and engineering: 8th international conference, Bejing, P.R. China. John Wiley & Sons, pp. 177191. ISBN 047196560X

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Abstract
We consider the fast solution of nonsmooth optimization problems as resulting for example from the approximation of elliptic free boundary problems of obstacle or Stefan type. Combining wellknown 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 
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