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Browsing by Subject "projection operator"

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  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    A new characterization of convex φ-functions with a parameter
    (2015) Micherda, Bartosz
    We show that, under some additional assumptions, all projection operators onto latticially closed subsets of the Orlicz-Musielak space generated by $\Phi$ are isotonic if and only if $\Phi$ is convex with respect to its second variable. A dual result of this type is also proven for antiprojections. This gives the positive answer to the problem presented in Opuscula Mathematica in 2012.
  • thumbnail.journal.alt
    Item type:Thesis, Access status: Restricted ,
    Projekcje i sumy ortogonalne, podprzestrzenie niezmiennicze, podstawowe własności
    (Data obrony: 2010-07-08) Blecharska, Natalia
    Wydział Matematyki Stosowanej
  • thumbnail.journal.alt
    Item type:Article, Access status: Open Access ,
    Two-dimensional hp-adaptive algorithm for continuous approximations of material data using space projection
    (Wydawnictwa AGH, 2013) Gurgul, Piotr; Sieniek, Marcin; Paszyński, Maciej; Madej, Łukasz; Collier, Nathan
    In this paper we utilize the concept of the $L^2$ and $H^1$ projections used to adaptively generate a continuous approximation of an input material data in the finie element (FE) base.This approximation, along with a corresponding FE mesh, can be used as material data for FE solvers. We begin with abrief theoretical background, followed by description of the hp -adaptive algorithm adopted here to improve gradually quality of the projections. We investigate also a few distinct sample problems, apply the aforementioned algorithms and conclude with numerical results evaluation.