@Article{IJNAM-13-368,
author = {L. Zhu, Z.-Y. Zhang and Z.-L. Li},
title = {The Immersed Finite Volume Element Method for Some Interface Problems with Nonhomogeneous Jump Conditions},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2016},
volume = {13},
number = {3},
pages = {368--382},
abstract = {<p style="text-align: justify;">In this paper, an immersed finite volume element (IFVE) method is developed for
solving some interface problems with nonhomogeneous jump conditions. Using the source removal
technique of nonhomogeneous jump conditions, the new IFVE method is the finite volume element
method applied to the equivalent interface problems with homogeneous jump conditions and have
properties of the usual finite volume element method. The resulting IFVE scheme is simple and
second order accurate with a uniform rectangular partition and the dual meshes. Error analyses
show that the new IFVE method with usual $O(h^2)$ convergence in the $L^2$ norm and $O(h)$ in
the $H^1$ norm. Numerical examples are also presented to demonstrate the efficiency of the new
method.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/444.html}
}