Reference : GEOMETRY-INDEPENDENT FIELD APPROXIMATION FOR SPLINE-BASED FINITE ELEMENT METHODS

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a book
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/14029

Title :	GEOMETRY-INDEPENDENT FIELD APPROXIMATION FOR SPLINE-BASED FINITE ELEMENT METHODS
Language :	English
Author, co-author :	Xu, Gang []
	Atroshchenko, Elena []
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	Jul-2014
Main document title :	Proceedings of the 11th World Congress in Computational Mechanics
Peer reviewed :	Yes
On invitation :	Yes
Audience :	International
Event name :	11th World Congress in Computational Mechanics
Event date :	20-07-2014 to 25-07-2014
Event organizer :	CIMNE
Event place (city) :	Barcelona
Event country :	Spain
Keywords :	[en] super-parametric ; isogeometric analysis IGA ; geometry-independent approximation
Abstract :	[en] We propose a discretization scheme where the spline spaces used for the geometry and the field variables can be chosen independently in spline-based FEM. he method is thus applicable to arbitrary domains with spline representation. (2) It is possible to flexibly choose between different spline spaces with different properties to better represent the solution of the PDE, e.g. the continuity of the solution field. (3) Refinement operations by knot insertion and degree elevation are performed directly on the spline space of the solution field, independently of the spline space of the geometry of the domain, i.e. the parameterization of the given geometry is not altered during the refinement process. Hence, the initial design can be optimized in the subsequent shape optimization stage without constraining the geometry discretization space to conform to the field approximation space.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/14029
Framework Programme / European Project :	FP7 ; 289361 - INSIST - Integrating Numerical Simulation and Geometric Design Technology

	File(s) associated to this reference
	Fulltext file(s): File Commentary Version Size Access Open access GIFA.pdf Author preprint 133.62 kB View/Open Additional material(s): File Commentary Size Access Open access superGA_upd26_05_2014.pdf paper draft 2.26 MB View/Open Open access 2014WCCM_GIFT_2.pptx Powerpoint slides 10.09 MB View/Open

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