On Maximum Norm Estimates for Ritz-Volterra Projection
With Applications to Some Time Dependent Problems
ABSTRACT
The stability in $L^\infty$-norm is considered for the
Ritz-Volterra projection
and some applications
are presented in this paper. As a result, point-wise error
estimates are established for the finite element approximation
for the parabolic integro-differential equation,
Sobolev equations, and a diffusion equation with non-local boundary
value problem.