Efficient Finite Element Methodology Based on Cartesian Grids : Application to Structural Shape Optimization
Joint Authors
Tur, M.
Albelda, J.
Fuenmayor, F. J.
Ródenas, J. J.
Nadal, E.
Tarancón, J. E.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-14
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
This work presents an analysis methodology based on the use of the Finite Element Method (FEM) nowadays considered one of the main numerical tools for solving Boundary Value Problems (BVPs).
The proposed methodology, so-called cg-FEM (Cartesian grid FEM), has been implemented for fast and accurate numerical analysis of 2D linear elasticity problems.
The traditional FEM uses geometry-conforming meshes; however, in cg-FEM the analysis mesh is not conformal to the geometry.
This allows for defining very efficient mesh generation techniques and using a robust integration procedure, to accurately integrate the domain’s geometry.
The hierarchical data structure used in cg-FEM together with the Cartesian meshes allow for trivial data sharing between similar entities.
The cg-FEM methodology uses advanced recovery techniques to obtain an improved solution of the displacement and stress fields (for which a discretization error estimator in energy norm is available) that will be the output of the analysis.
All this results in a substantial increase in accuracy and computational efficiency with respect to the standard FEM.
cg-FEM has been applied in structural shape optimization showing robustness and computational efficiency in comparison with FEM solutions obtained with a commercial code, despite the fact that cg-FEM has been fully implemented in MATLAB.
American Psychological Association (APA)
Nadal, E.& Ródenas, J. J.& Albelda, J.& Tur, M.& Tarancón, J. E.& Fuenmayor, F. J.. 2013. Efficient Finite Element Methodology Based on Cartesian Grids : Application to Structural Shape Optimization. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-511086
Modern Language Association (MLA)
Nadal, E.…[et al.]. Efficient Finite Element Methodology Based on Cartesian Grids : Application to Structural Shape Optimization. Abstract and Applied Analysis No. 2013 (2013), pp.1-19.
https://search.emarefa.net/detail/BIM-511086
American Medical Association (AMA)
Nadal, E.& Ródenas, J. J.& Albelda, J.& Tur, M.& Tarancón, J. E.& Fuenmayor, F. J.. Efficient Finite Element Methodology Based on Cartesian Grids : Application to Structural Shape Optimization. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-19.
https://search.emarefa.net/detail/BIM-511086
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511086