TY - JOUR
T1 - An Extended Finite Element Method for 2D Edge Elements
AU - F. Lefevre, S. Lohrengel & S. Nicaise
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 641
EP - 666
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/705.html
KW - Maxwell's equations, domains with cracks, XFEM, singularities of solutions.
AB - <p style="text-align: justify;">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
$O(h^{1/2-\eta})$. The implementation of the method is discussed and numerical tests illustrate its
performance.</p>