ESSONGUE BOUSSOUGOU, Simon; COUEGNAT, Guillaume; MARTIN, Eric

Institut de Mécanique et d'Ingénierie [I2M]

COUEGNAT, Guillaume
Laboratoire des Composites Thermostructuraux [LCTS]

MARTIN, Eric
Laboratoire des Composites Thermostructuraux [LCTS]

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International Journal for Numerical Methods in Engineering. 2020-08-25

Resumen en inglés

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.< Leer menos

Palabras clave en inglés

Embedded discontinuities

Embedded finite elements

Weak discontinuities

Augmented finite element method

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https://oskar-bordeaux.fr/handle/20.500.12278/184369

Centros de investigación

Institut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295

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Performance assessment of the augmented finite element method for the modeling of weak discontinuities

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Este ítem está publicado en

Resumen en inglés

Palabras clave en inglés

URI

Centros de investigación