TY - JOUR
T1 - Non-Classical Elliptic Projections and $L^2$-Error Estimates for Galerkin Methods for Parabolic Integro-Differential Equations
AU - Lin , Yan-Ping
JO - Journal of Computational Mathematics
VL - 3
SP - 238
EP - 246
PY - 1991
DA - 1991/09
SN - 9
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9397.html
KW - 
AB - <p style="text-align: justify;">In this paper we shall define a so-called &quot;non-classical&quot; elliptic projection associated with an integro-differential operator. The properties of this projection will be analyzed and used to obtain the optimal $L^2$ error estimates for the continuous and discrete time Galerkin procedures when applied to linear integro-differential equations of parabolic type.</p>