Accession Number:

ADA099353

Title:

Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations.,

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1981-03-01

Pagination or Media Count:

15.0

Abstract:

This paper concerns error estimates for methods of approximating the solution of a partial differential equation. The method in question is the so-called finite element method, which was developed by structural engineers and is now widely used in all branches of engineering. The paper refines previously derived estimates of the error in maximum norm, i.e. the maximum error as opposed to an average error. The paper settles certain technical questions as to the rate of convergence of the finite element method in this norm. Author

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE