Some Collocation-Galerkin Methods for Two-Point Boundary Value Problems

A family of discontinuous and simply continuous collocation-Galerkin methods corresponding to the H-1methods of Rachford and Wheeler is defined. Lp-estimates optimal in local step size and norm on solution are obtained, and local quadratures giving accuracy of higher order are developed.

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Bibliographic Details
Published in:SIAM journal on numerical analysis 1976-10, Vol.13 (5), p.720-733
Main Authors: Dunn, Roderick J., Wheeler, Mary Fanett
Format: Article
Language:English
Subjects:
Approximation
Boundary conditions
Boundary value problems
Codes
Estimates
Galerkin methods
Mathematical procedures
Polynomials
Textual collocation
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Description
Summary:A family of discontinuous and simply continuous collocation-Galerkin methods corresponding to the H-1methods of Rachford and Wheeler is defined. Lp-estimates optimal in local step size and norm on solution are obtained, and local quadratures giving accuracy of higher order are developed.
ISSN:0036-1429
1095-7170
DOI:10.1137/0713059