An Extended Finite Element Method for 2D Edge Elements
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@Article{IJNAM-8-641,
author = {F. Lefevre, S. Lohrengel and S. Nicaise},
title = {An Extended Finite Element Method for 2D Edge Elements},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2011},
volume = {8},
number = {4},
pages = {641--666},
abstract = {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.},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/705.html}
}
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
KW - domains with cracks
KW - XFEM
KW - singularities of solutions
AB - 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.
F. Lefevre, S. Lohrengel & S. Nicaise. (1970). An Extended Finite Element Method for 2D Edge Elements.
International Journal of Numerical Analysis and Modeling. 8 (4).
641-666.
doi:
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