A quasi-projection analysis of Galerkin methods for parabolic and hyperbolic equations
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- by Jim Douglas, Todd Dupont and Mary F. Wheeler PDF
- Math. Comp. 32 (1978), 345-362 Request permission
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.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Math. Comp. 32 (1978), 345-362
- MSC: Primary 65N30; Secondary 65M15
- DOI: https://doi.org/10.1090/S0025-5718-1978-0495012-2
- MathSciNet review: 0495012