Browsing by Author "Sieniek, Marcin"
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Item type:Thesis, Access status: Restricted , Agent-based distributed platform for adaptive modeling in nanolithography(Data obrony: 2011-05-25) Sieniek, Marcin
Wydział Elektrotechniki, Automatyki, Informatyki i ElektronikiItem 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, NathanIn 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.
