@Article{CiCP-12-595,
author = {},
title = {A Numerical Method for Solving Elasticity Equations with Interfaces},
journal = {Communications in Computational Physics},
year = {2012},
volume = {12},
number = {2},
pages = {595--612},
abstract = {<p style="text-align: justify;">Solving elasticity equations with interfaces is a challenging problem for most
existing methods. Nonetheless, it has wide applications in engineering and science.
An accurate and efficient method is desired. In this paper, an efficient non-traditional
finite element method with non-body-fitting grids is proposed to solve elasticity equations with interfaces. The main idea is to choose the test function basis to be the standard finite element basis independent of the interface and to choose the solution basis
to be piecewise linear satisfying the jump conditions across the interface. The resulting
linear system of equations is shown to be positive definite under certain assumptions.
Numerical experiments show that this method is second order accurate in the L<sup>∞</sup> norm
for piecewise smooth solutions. More than 1.5th order accuracy is observed for solution with singularity (second derivative blows up) on the sharp-edged interface corner.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.160910.130711s},
url = {http://global-sci.org/intro/article_detail/cicp/7306.html}
}