TY - JOUR
T1 - Biquartic Finite Volume Element Method Based on Lobatto-Guass Structure
AU - Gao , Yanni
AU - Chen , Yanli
JO - Communications in Mathematical Research 
VL - 4
SP - 320
EP - 332
PY - 2021
DA - 2021/05
SN - 31
DO - http://doi.org/10.13447/j.1674-5647.2015.04.04
UR - https://global-sci.org/intro/article_detail/cmr/18917.html
KW - Lobatto-Guass structure, biquartic, finite volume element method, error estimate, superconvergence.
AB - <p style="text-align: justify;">In this paper, a biquartic finite volume element method based on Lobatto-Guass structure is presented for variable coefficient elliptic equation on rectangular
partition. Not only the optimal $H^1$ and $L^2$ error estimates but also some superconvergent properties are available and could be proved for this method. The numerical results obtained by this finite volume element scheme confirm the validity of the
theoretical analysis and the effectiveness of this method.</p>