TY - JOUR
T1 - Convergence Analysis of Nitsche Extended Finite Element Methods for H(Curl)-Elliptic Interface Problems
AU - Wang , Nan
AU - Chen , Jinru
JO - International Journal of Numerical Analysis and Modeling
VL - 4
SP - 487
EP - 510
PY - 2022
DA - 2022/06
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/20656.html
KW - Nitsche extended finite element method, H(curl)-elliptic interface problems, interface-unfitted meshes, the lowest order of second family Nédélec edge elements.
AB - <p style="text-align: justify;">An H(curl)-conforming Nitsche extended finite element method is proposed for
H(curl)-elliptic interface problems in three dimensional Lipschitz domains with smooth interfaces.
Under interface-unfitted meshes, the continuous problems are discretized by an H(curl)-conforming
extended finite element space, which is constructed based on the the lowest order of second family
Nédélec edge elements (Whitney elements). A stabilization term defined on transmission faces
is added to the standard discrete bilinear form. Stability results and the optimal error estimate
in the parameter-dependent H(curl)-norm are derived, which are both uniform with respect to
not only the mesh size and the interface position but also the physical parameters. Numerical
experiments are carried out to validate theoretical results.</p>