Superconvergence of a finite element approximation to the solution of a Sobolev equation in a single space variable
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- by Douglas N. Arnold, Jim Douglas and Vidar Thomée PDF
- Math. Comp. 36 (1981), 53-63 Request permission
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.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Math. Comp. 36 (1981), 53-63
- MSC: Primary 65N30; Secondary 35K70
- DOI: https://doi.org/10.1090/S0025-5718-1981-0595041-4
- MathSciNet review: 595041