ABSTRACT
Abstract In this paper we shall study Galerkin finite element approximations to integral equations of the Volterra type. Our prime concern is the non-coercive case where standard finite element theory is not directly applicable. The question of rates of convergence is studied for the case where an exact stiffiness matrix is available, as well as the case where the latter is approximated via quadrature rules. The optimality of these rules is also considered from the point of view of the effect the choice of the quadrature has on the overall rate of convergence.
