Kornhuber, R. (1999) Monotone iterations for elliptic variational inequalities. In: Free boundary problems: theory and applications. Research notes in mathematics (409). Chapman & Hall/CRC, Boca Raton, London, New York, Washington, D.C., pp. 335343. ISBN 158488018X

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Abstract
A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non–diﬀerentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constrained Newton type linearization. While convex min imization provides global convergence of the overall iteration, the subsequent constrained Newton type linearization is intended to accelerate the conver gence speed. We present a general convergence theory and discuss several applications.
Item Type:  Book Section 

Subjects:  Mathematical and Computer Sciences > Mathematics > Numerical Analysis 
Divisions:  Department of Mathematics and Computer Science > Institute of Mathematics 
ID Code:  1909 
Deposited By:  Ekaterina Engel 
Deposited On:  20 Jun 2016 20:25 
Last Modified:  03 Mar 2017 14:42 
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