Superconvergence of a Finite Element Approximation to the Solution of a Sobolev Equation in a Single Space Variable
Open Access
- 1 January 1981
- journal article
- Published by JSTOR in Mathematics of Computation
- Vol. 36 (153), 53-63
- https://doi.org/10.2307/2007725
Abstract
A standard Galerkin method for a quasilinear equation of Sobolev type using continuous, piecewise-polynomial spaces is presented and analyzed. Optimal order error estimates are established in various norms, and nodal superconvergence is demonstrated. Discretization in time by explicit single-step methods is discussed.Keywords
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