A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
Superconvergence phenomena are demonstrated for Galerkin approximations of solutions of second order parabolic and hyperbolic problems in a single space variable. An asymptotic expansion of the Galerkin solution is used to derive these results and, in addition, to show optimal order error estimates in Sobolev spaces of negative index in …