@Article{EAJAM-14-2,
author = {Wang, Haimei and Zheng, Xianyan and Jinru, Chen and Wang, Feng},
title = {A Nonconforming Virtual Element Method for the Elliptic Interface Problem},
journal = {East Asian Journal on Applied Mathematics},
year = {2024},
volume = {14},
number = {2},
pages = {397--417},
abstract = {<p style="text-align: justify;">In this paper, we propose a nonconforming virtual element method for the
elliptic interface problem based on an unfitted polygonal mesh. On interface elements,
the intersecting points of the interface and the edges of elements are considered as additional nodes of the mesh, and then we present a virtual element space satisfying the
interface conditions. On non-interface elements, we use the usual nonconforming virtual element. By employing a computable operator, we introduce a discrete scheme
and obtain optimal convergence results which are independent of the contrast of the
coefficients. Numerical examples are presented to validate the theoretical results.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.2023-046.010923},
url = {https://global-sci.com/article/91041/a-nonconforming-virtual-element-method-for-the-elliptic-interface-problem}
}