TY - JOUR
T1 - Convergence and Superconvergence of Hermite Bicubic Element for Eigenvalue Problem of the Biharmonic Equation
AU - Wu , Dong-Sheng
JO - Journal of Computational Mathematics
VL - 2
SP - 139
EP - 142
PY - 2001
DA - 2001/04
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/8965.html
KW - Hermite bicubic element, Biharmonic equation, Interpolation postprocessing, Eigenvalue problem.
AB - <p style="text-align: justify;">In this paper,we discuss the convergence and superconvergence for eigenvalue problem of the biharmonic equation by using the Hermite bicubic element. Based on asymptotic error expansions and interpolation postprocessing, we gain the following estimation: $$0 \le \bar{\lambda}_h - \lambda \le C_\epsilon h^{8-\epsilon}$$ where $\epsilon＞0$ is an arbitrary small positive number and $C_\epsilon ＞0$ is a constant.</p>