Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
   
Mobile Device Pairing
Green Open Access
Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

Interior maximum norm estimates for finite element methods


Authors: A. H. Schatz and L. B. Wahlbin
Journal: Math. Comp. 31 (1977), 414-442
MSC: Primary 65N30
MathSciNet review: 0431753
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: Interior a priori error estimates in the maximum norm are derived from interior Ritz-Galerkin equations which are common to a class of methods used in approximating solutions of second order elliptic boundary value problems. The estimates are valid for a large class of piecewise polynomial subspaces used in practice, which are defined on quasi-uniform meshes.

It is shown that the error in an interior domain $ {\Omega _1}$ can be estimated with the best order of accuracy that is possible locally for the subspaces used plus the error in a weaker norm over a slightly larger domain which measures the effects from outside of the domain $ {\Omega _1}$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 65N30

Retrieve articles in all journals with MSC: 65N30


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1977-0431753-X
PII: S 0025-5718(1977)0431753-X
Article copyright: © Copyright 1977 American Mathematical Society