Numerical solution of a variational problem withL∞functionals

Autor:	Lisandro A. Parente, Gabriela F. Reyero, Laura S. Aragone, Pablo A. Lotito
Rok vydání:	2007
Předmět:	Dimension (vector space) Discretization Convex optimization Mathematical analysis Metric (mathematics) Finite difference Lipschitz continuity Domain (mathematical analysis) Mathematics Variable (mathematics)
Zdroj:	PAMM. 7:1060401-1060402
ISSN:	1617-7061
DOI:	10.1002/pamm.200700095
Popis:	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.
Databáze:	OpenAIRE
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