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Article Dans Une Revue International Journal of Numerical Analysis and Modeling Année : 2011

An extended finite element method for 2D edge elements

Résumé

A new extended Finite Element Method based on two-dimensional edge elements is presented and applied to solve the time-harmonic Maxwell equations in domains with cracks. Error analysis is performed and shows the method to be convergent with an order of at least O(h1/2-η). The implementation of the method is discussed and numerical tests illustrate its performance.
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Dates et versions

hal-01888373 , version 1 (05-10-2018)

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  • HAL Id : hal-01888373 , version 1

Citer

Stephanie Lohrengel, François Lefèvre, Serge Nicaise. An extended finite element method for 2D edge elements. International Journal of Numerical Analysis and Modeling, 2011, 8 (4), pp.641-645. ⟨hal-01888373⟩
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