Skip Navigation

IMA Journal of Applied Mathematics 1973 12(2):187-196; doi:10.1093/imamat/12.2.187
© 1973 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 Hall, C. A.
Right arrow Articles by KENNEDY, J. W.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Convergence of a Ritz Approximation for the Steady State Heat Flow Problem

C. A. Hall and J. W. KENNEDY

Mathematics Department, University of Pittsburgh Pittsburgh, Pa. 15213, U.S.A.
Computer Science Corporation, Silver Springs Md. 20910, U.S.A.

Let u be the true solution of the steady state heat flow problem with Dirichlet boundary conditions. Let U be the Ritz approximation to u, from the smooth Hermite space of order two. We establish that the L2-norm of the discretization error, U—u, tends to zero like h4 as h -> 0. This order of convergence is independent of the sequence of partitions chosen, as long as the mesh size h -> 0.


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.