@Article{JCM-9-3, author = {Yan-Ping, Lin}, title = {Non-Classical Elliptic Projections and $L^2$-Error Estimates for Galerkin Methods for Parabolic Integro-Differential Equations}, journal = {Journal of Computational Mathematics}, year = {1991}, volume = {9}, number = {3}, pages = {238--246}, abstract = {

In this paper we shall define a so-called "non-classical" 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.

}, issn = {1991-7139}, doi = {https://doi.org/1991-JCM-9397}, url = {https://global-sci.com/article/86003/non-classical-elliptic-projections-and-l2-error-estimates-for-galerkin-methods-for-parabolic-integro-differential-equations} }