Premium
Numerical solution of a variational problem with L ∞ functionals
Author(s) -
Parente Lisandro A.,
Aragone Laura S.,
Lotito Pablo A.,
Reyero Gabriela F.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700095
Subject(s) - discretization , lipschitz continuity , mathematics , dimension (graph theory) , domain (mathematical analysis) , metric (unit) , extension (predicate logic) , mathematical analysis , numerical analysis , regular polygon , scale (ratio) , pure mathematics , geometry , physics , computer science , quantum mechanics , economics , programming language , operations management
We consider the problem which consists in finding an optimal Lipschitz extension to the domain Ω of functions that verify the restriction u = g on ∂Ω. This work deals with the numerical approximations of the problem in dimension two. Using a discretization procedure based on finite differences method we obtain a large scale non smooth convex minimization problem, which is solved via Variable Metric Hibrid Proximal Point Method. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)