@Article{IJNAM-14-604,
author = {Slimane Adjerid, Ruchi Guo and Tao Lin},
title = {High Degree Immersed Finite Element Spaces by a Least Squares Method},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2017},
volume = {14},
number = {4-5},
pages = {604--626},
abstract = {<p style="text-align: justify;">We present a least squares framework for constructing $p$-th degree immersed finite
element (IFE) spaces for typical second-order elliptic interface problems. This least squares formulation
enforces interface jump conditions including extended ones already proposed in the
literature, and it guarantees the existence of $p$-th IFE shape functions on interface elements. The
uniqueness of the proposed $p$-th degree IFE shape functions is also discussed. Computational results
are presented to demonstrate the approximation capabilities of the proposed $p$-th IFE spaces
as well as other features.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/10052.html}
}