TY - JOUR
T1 - A Partially Penalised Immersed Finite Element Method for Elliptic Interface Problems with Non-Homogeneous Jump Conditions
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 1
EP - 23
PY - 2018
DA - 2018/02
SN - 8
DO - http://doi.org/10.4208/eajam.160217.070717a
UR - https://global-sci.org/intro/article_detail/eajam/10915.html
KW - Immersed finite element method, interface problem, Cartesian mesh, non-homogeneous jump condition, closest-point projection.
AB - <p style="text-align: justify;">A partially penalised immersed finite element method for interface problems
with discontinuous coefficients and non-homogeneous jump conditions based on unfitted
meshes independent of the interface is proposed. The arising systems of linear
equations have symmetric positive definite matrices which allows the use of fast solvers
and existing codes. Optimal error estimates in an energy norm are derived. Numerical
examples demonstrate the efficiency of the method.</p>