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3D NURBS-enhanced finite element method (NEFEM)
International journal for numerical methods in engineering, 2011-10, Vol.88 (2), p.103-125
Sevilla, Ruben
Fernández-Méndez, Sonia
Huerta, Antonio
2011
Details
Autor(en) / Beteiligte
Sevilla, Ruben
Fernández-Méndez, Sonia
Huerta, Antonio
Titel
3D NURBS-enhanced finite element method (NEFEM)
Ist Teil von
International journal for numerical methods in engineering, 2011-10, Vol.88 (2), p.103-125
Ort / Verlag
Chichester, UK: John Wiley & Sons, Ltd
Erscheinungsjahr
2011
Link zum Volltext
Quelle
Wiley Online Library
Beschreibungen/Notizen
This paper presents the extension of the recently proposed NURBS‐enhanced finite element method (NEFEM) to 3D domains. NEFEM is able to exactly represent the geometry of the computational domain by means of its CAD boundary representation with non‐uniform rational B‐splines (NURBS) surfaces. Specific strategies for interpolation and numerical integration are presented for those elements affected by the NURBS boundary representation. For elements not intersecting the boundary, a standard finite element rationale is used, preserving the efficiency of the classical FEM. In 3D NEFEM special attention must be paid to geometric issues that are easily treated in the 2D implementation. Several numerical examples show the performance and benefits of NEFEM compared with standard isoparametric or cartesian finite elements. NEFEM is a powerful strategy to efficiently treat curved boundaries and it avoids excessive mesh refinement to capture small geometric features. Copyright © 2011 John Wiley & Sons, Ltd.
Sprache
Englisch
Identifikatoren
ISSN: 0029-5981, 1097-0207
eISSN: 1097-0207
DOI: 10.1002/nme.3164
Titel-ID: cdi_csuc_recercat_oai_recercat_cat_2072_195456
Format
–
Schlagworte
Accurate geometry representation
,
Algorithmics. Computability. Computer arithmetics
,
Applied sciences
,
Boundaries
,
Boundary representation
,
CAD
,
ccurate geometry representation
,
Computer aided design
,
Computer science
,
control theory
,
systems
,
Discontinuous Galerkin
,
Exact sciences and technology
,
Finite element method
,
Finite elements
,
High-order isoparametric approximations
,
Matemàtica aplicada a les ciències
,
Matemàtiques i estadística
,
Mathematical analysis
,
Mathematical models
,
Non-uniform rational B-splines
,
NURBS
,
Software
,
Strategy
,
Theoretical computing
,
Three dimensional
,
Àrees temàtiques de la UPC
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