Accession Number:

ADA148345

Title:

A Feedback Finite Element Method with a Posteriori Error Estimation. Part 1. The Finite Element Method and Some Basic Properties of the A Posteriori Error Estimator.

Descriptive Note:

Final rept.,

Corporate Author:

MARYLAND UNIV COLLEGE PARK LAB FOR NUMERICAL ANALYSIS

Personal Author(s):

Report Date:

1984-10-01

Pagination or Media Count:

71.0

Abstract:

This paper is the first in a series of three which discusses some theoretical and practical aspect of a feedback finite element method for solving systems of linear second order elliptic partial differential equations with particular interest in classical linear elasticity. This first part introduces some nonstandard finite element spaces, though based on the usual square bilinear elements, permit local mesh refinement. The algebraic structure of these spaces and their approximation properties are analysed. An equivalent estimator for the H1 finite element error is developed.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE