A QUASI-PROJECTION APPROXIMATION METHOD APPLIED TO GALERKIN PROCEDURES FOR PARABOLIC AND HYPERBOLIC EQUATIONS

摘要

A technical method of approximating the Galerkin approximation to solutions of parabolic and hyperbolic equations can be based on a finite sequence of elliptic projections. The resulting function is called a quasi-projection, and it is used to study superconvergence phenomena associated with the Galerkin procedures.