TY - JOUR
T1 - A Nonconforming Virtual Element Method for the Elliptic Interface Problem
AU - Wang , Haimei
AU - Zheng , Xianyan
AU - Chen , Jinru
AU - Wang , Feng
JO - East Asian Journal on Applied Mathematics
VL - 2
SP - 397
EP - 417
PY - 2024
DA - 2024/04
SN - 14
DO - http://doi.org/10.4208/eajam.2023-046.010923 
UR - https://global-sci.org/intro/article_detail/eajam/23068.html
KW - Nonconforming, virtual element, elliptic interface problem, unfitted mesh.
AB - <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>