Skip Navigation

IMA Journal of Applied Mathematics 1977 20(2):245-255; doi:10.1093/imamat/20.2.245
© 1977 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by OMODEI, B. J.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Stability of the Rayleigh-Ritz-Galerkin Procedure for Linear Elliptic Boundary Value Problems

B. J. OMODEI {dagger}

Mathematics Department, University of Manchester

This paper investigates the Mikhlin stability of the Rayleigh-Ritz method for certain classes of linear elliptic boundary value problems. Piecewise polynomial coordinate functions are studied from the point of view of Mikhlin stability, and in particular, it is shown that appropriately scaled B-splines and appropriately scaled elementary Hermites yield a Mikhlin stable Rayleigh-Ritz-Galerkin process and approximate solution for the classes of problems considered. Firstly, a class of two-point boundary value problems studied by Birkhoff et al. (1968) is investigated, and then the results are extended to higher dimensions.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.