TY - JOUR
T1 - A Symmetric Finite Volume Element Scheme on Quadrilateral Grids and Superconvergence
AU - Shu , Shi
AU - Yu , Haiyuan
AU - Huang , Yunqing
AU - Nie , Cunyun
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 348
EP - 360
PY - 2006
DA - 2006/03
SN - 3
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/906.html
KW - quadrilateral grids, symmetric finite volume schemes, asymptotic error expansion, superconvergence.
AB - <p style="text-align: justify;">A symmetric finite volume element scheme on quadrilateral
grids is established for a class of elliptic problems. The asymptotic
error expansion of finite volume element approximation is obtained under
rectangle grids, which in turn yields the error estimates and
superconvergence of the averaged derivatives. Numerical examples confirm
our theoretical analysis.</p>