Performance assessment of the augmented finite element method for the modeling of weak discontinuities
Langue
EN
Article de revue
Ce document a été publié dans
International Journal for Numerical Methods in Engineering. 2020-08-25
Résumé en anglais
This paper investigates the convergence properties of the augmented finite element method (AFEM). The AFEM is here used to model weak discontinuities independently of the underlying mesh. One noticeable advantage of the ...Lire la suite >
This paper investigates the convergence properties of the augmented finite element method (AFEM). The AFEM is here used to model weak discontinuities independently of the underlying mesh. One noticeable advantage of the AFEM over other partition of unity methods is that it does not introduce additional global unknowns. Numerical 2D experiments illustrate the performance of the method and draw comparisons with the finite element method (FEM) and the non conforming FEM. It is shown that the AFEM converges with an error of O(ℎ0.5) in the energy norm. The non-conforming FEM shares the same property while the FEM converges at O(ℎ). Yet, the AFEM is on par with the FEM for certain homogenization problems.< Réduire
Mots clés en anglais
Embedded discontinuities
Embedded finite elements
Weak discontinuities
Augmented finite element method
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