TY - JOUR
T1 - A Finite Element Method for Elasticity Interface Problems with Locally Modified Triangulations
AU - H. Xie, Z. Li & Z. Qiao
JO - International Journal of Numerical Analysis and Modeling
VL - 2
SP - 189
EP - 200
PY - 2011
DA - 2011/08
SN - 8
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/681.html
KW - elasticity interface problem, body-fitted mesh, Cartesian mesh, discontinuous coefficient, locally modified triangulation, finite element method, jump conditions.
AB - <p style="text-align: justify;">A finite element method for elasticity systems with discontinuities
in the coefficients and the flux across an arbitrary interface is proposed in this
paper. The method is based on a Cartesian mesh with local modifications
to the mesh. The total degrees of the freedom of the finite element method
remains the same as that of the Cartesian mesh. The local modifications lead
to a quasi-uniform body-fitted mesh from the original Cartesian mesh. The
standard finite element theory and implementation are applicable. Numerical
examples that involve discontinuous material coefficients and non-homogeneous
jump in the flux across the interface demonstrate the efficiency of the proposed
method.</p>