A C0-Collocation-Finite Element Method for Two-Point Boundary Value Problems and One Space Dimensional Parabolic Problems

Lpestimates optimal in terms of rate and norm on the solution are obtained for a C0-collocation-finite element method formulated by Diaz and Rachford. Superconvergence results and local quadratures yielding higher order accuracy are established. The scheme is also extended to one space dimensional p...

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Bibliographic Details
Published in:SIAM journal on numerical analysis 1977-03, Vol.14 (1), p.71-90
Main Author: Wheeler, Mary Fanett
Format: Article
Language:English
Subjects:
Approximation
Boundary value problems
Estimation methods
Mathematical procedures
Polynomials
Textual collocation
Online Access:Get full text
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Summary:Lpestimates optimal in terms of rate and norm on the solution are obtained for a C0-collocation-finite element method formulated by Diaz and Rachford. Superconvergence results and local quadratures yielding higher order accuracy are established. The scheme is also extended to one space dimensional parabolic problems.
ISSN:0036-1429