Reference : Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dim...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/34900

Title :	Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
Language :	English
Author, co-author :	Nguyen-Thanh, N. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
	Nguyen-Xuan, H. [Department of Mechanics, Faculty of Mathematics and Computer Science, University of Science, VNU, HCM, Viet Nam, Division of Computational Mechanics, Ton Duc Thang University, HCM, Viet Nam]
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
	Rabczuk, T. [Institute of Structural Mechanics, Bauhaus-University Weimar, Marienstr. 15, D-99423 Weimar, Germany]
Publication date :	2011
Journal title :	Computer Methods in Applied Mechanics and Engineering
Volume :	200
Issue/season :	21-22
Pages :	1892-1908
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	00457825
Keywords :	[en] Isogeometric analysis ; PHT-spline ; T-meshes ; T-spline ; Complex geometries ; Elastic solids ; Finite Element ; Local refinement ; Local support ; Non-negativity ; Numerical example ; Partition of unity ; Polynomial splines ; Shape functions ; Standard finite element ; T-splines ; Function evaluation ; Numerical methods ; Polynomial approximation ; Splines
Abstract :	[en] Isogeometric analysis has become a powerful alternative to standard finite elements due to its flexibility in handling complex geometries. One of the major drawbacks of NURBS-based isogeometric finite elements is the inefficiency of local refinement. In this study, we present an alternative to NURBS-based isogeometric analysis that allows for local refinement. The idea is based on polynomial splines and exploits the flexibility of T-meshes for local refinement. The shape functions satisfy important properties such as non-negativity, local support and partition of unity. Several numerical examples are used to demonstrate the reliability of the present method.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/34900
DOI :	10.1016/j.cma.2011.01.018

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