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Títol:
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3D NURBS-enhanced finite element method (NEFEM)
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Autor/a:
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Sevilla Cárdenas, Rubén; Fernández Méndez, Sonia; Huerta, Antonio
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Altres autors:
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Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III; Universitat Politècnica de Catalunya. LACÀN - Mètodes Numèrics en Ciències Aplicades i Enginyeria |
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Abstract:
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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. |
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Abstract:
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Peer Reviewed |
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Matèries:
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-Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica aplicada a les ciències
-NURBS
-Non-uniform rational B-splines
-Accurate geometry representation
-Discontinuous Galerkin
-High-order isoparametric approximations
-ccurate geometry representation
-CAD
-Discontinuous Galerkin
-Finite elements
-High-order isoparametric approximations
-NURBS |
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Drets:
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Tipus de document:
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Article - Versió publicada
Article |
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Publicat per:
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Wiley and Sons
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Compartir:
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