Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable

D. N. Arnold; J. Douglas

doi:10.1007/BF02576636

Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable

D. N. Arnold, J. Douglas

Mathematics

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Abstract

The asymptotic expansion of the Galerkin solution of a parabolic equation by means of a sequence of elliptic projections that was introduced by Douglas, Dupont, and Wheeder is carried out for a quasilinear equation. This quaxi-projection can be applied to establish knot superconvergence in the case of a single space variable. In addition, an optimal order error estimate in L^∞ (L^∞) is derived for a single space variable.

Original language	English (US)
Pages (from-to)	345-369
Number of pages	25
Journal	Calcolo
Volume	16
Issue number	4
DOIs	https://doi.org/10.1007/BF02576636
State	Published - Dec 1 1979

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Superconvergence of the galerkin approximation of a quasilinear parabolic equation in a single space variable

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