ESSONGUE, Simon; COUÉGNAT, Guillaume; MARTIN, Eric

doi:10.1002/nme.6530

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ESSONGUE, Simon

COUÉGNAT, Guillaume
Laboratoire des Composites Thermostructuraux [LCTS]

MARTIN, Eric
Laboratoire des Composites Thermostructuraux [LCTS]

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International Journal for Numerical Methods in Engineering. 2021, vol. 122, n° 1, p. 172-189

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This article 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 nonconforming FEM. It is shown that the AFEM converges with an error of (h0.5) in the energy norm. The nonconforming FEM shares the same propertywhile the FEM converges at (h). Yet, the AFEM is on par with the FEM forcertain homogenization problems.< Leer menos

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augmented finite element method

embedded discontinuities

embedded finite elements

weak discontinuities

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

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