[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Xu, Gang
Atroshchenko, Elena
Bordas, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Language :
English
Title :
GEOMETRY-INDEPENDENT FIELD APPROXIMATION FOR SPLINE-BASED FINITE ELEMENT METHODS
Publication date :
July 2014
Event name :
11th World Congress in Computational Mechanics
Event organizer :
CIMNE
Event place :
Barcelona, Spain
Event date :
20-07-2014 to 25-07-2014
By request :
Yes
Audience :
International
Main work title :
Proceedings of the 11th World Congress in Computational Mechanics
