A Quasi-Projection Analysis of Galerkin Methods for Parabolic and Hyperbolic Equations
- 1 April 1978
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 32 (142) , 345-362
- https://doi.org/10.2307/2006148
Abstract
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 multiple dimensions.Keywords
This publication has 3 references indexed in Scilit:
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- Collocation Methods for Parabolic Equations in a Single Space VariableLecture Notes in Mathematics, 1974
- A Galerkin procedure for approximating the flux on the boundary for elliptic and parabolic boundary value problemsRevue française d'automatique, informatique, recherche opérationnelle. Analyse numérique, 1974