A Method for 3D Mesh Adaptation in FEA
Commenced in January 2007
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Edition: International
Paper Count: 32797
A Method for 3D Mesh Adaptation in FEA

Authors: S. Sfarni, E. Bellenger, J. Fortin, M. Guessasma

Abstract:

The use of the mechanical simulation (in particular the finite element analysis) requires the management of assumptions in order to analyse a real complex system. In finite element analysis (FEA), two modeling steps require assumptions to be able to carry out the computations and to obtain some results: the building of the physical model and the building of the simulation model. The simplification assumptions made on the analysed system in these two steps can generate two kinds of errors: the physical modeling errors (mathematical model, domain simplifications, materials properties, boundary conditions and loads) and the mesh discretization errors. This paper proposes a mesh adaptive method based on the use of an h-adaptive scheme in combination with an error estimator in order to choose the mesh of the simulation model. This method allows us to choose the mesh of the simulation model in order to control the cost and the quality of the finite element analysis.

Keywords: Finite element, discretization errors, adaptivity.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1072309

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References:


[1] M. Ainsworth, J.T. Oden, A posteriori error estimation in finite element analysis, Wiley-Interscience, New York, 2000.
[2] I. Babuska, T. Strouboulis, The finite element method and its reliability, Numerical Mathematics and Scientific Computation, Clarendon Press- Oxford University Press, New York, 2001.
[3] D. Barthe, P. Ladev`eze, A. Deraemaeker, S. Le Loch, Validation and updating of industrial models based on the constitutive relation error, AIAA Journal, vol. 42, pp. 1427-1434, 2004.
[4] P. Coorevits, J.P. Dumeau, J.P. Pelle, Error estimator and adaptivity for three-dimensional finite element analysis, in: P. Ladev`eze, J.T. Oden (Eds.), Advances in Adaptive Computational Methods in Mechanics, Studies in Applied Mechanics, Elsevier, Amsterdam, vol. 47, pp. 443- 457, 1998.
[5] P. Coorevits, J.P. Dumeau, P. Ladev`eze, Control of analyses with isoparametric elements in 3D elasticity, Int. J. Num. Methods Eng.vol., 46, pp. 157-176, 1999.
[6] P. L. George, H. Borouchaki, P. Laug, An efficient algorithm for 3D adaptive meshing, Advances in Engineering Software, vol. 33, pp. 377- 387, 2002.
[7] P. Ladev`eze, J.P. Pelle, P. Rougeot, Error estimation and mesh optimization for classical Finite Elements, Eng. Comput., vol. 8, pp. 69-80, 1991.
[8] P. Ladev`eze, P. Rougeot, New advances on a posteriori error on constitutive relation in finite element analysis, Comp. Meth. Appl. Mech. Engrg., vol. 150, pp. 239-249, 1997.