Numerical solution of a variational problem with  L  ∞  functionals | Zendy

Parente Lisandro A. | Zendy; Aragone Laura S. | Zendy; Lotito Pablo A. | Zendy; Reyero Gabriela F. | Zendy

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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)

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