TY - JOUR
T1 - Immersed Finite Element Methods for Elliptic Interface Problems with Non-Homogeneous Jump Conditions
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 284
EP - 301
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/686.html
KW - interface problems, immersed interface, finite element, nonhomogeneous jump conditions.
AB - <p style="text-align: justify;">This paper is to develop immersed finite element (IFE) functions
for solving second order elliptic boundary value problems with discontinuous
coefficients and non-homogeneous jump conditions. These IFE functions can be
formed on meshes independent of interface. Numerical examples demonstrate
that these IFE functions have the usual approximation capability expected
from polynomials employed. The related IFE methods based on the Galerkin
formulation can be considered as natural extensions of those IFE methods in the
literature developed for homogeneous jump conditions, and they can optimally
solve the interface problems with a nonhomogeneous flux jump condition.</p>