Accession Number:

ADA248986

Title:

Basic Problems of A-Posteriori Error Estimation

Descriptive Note:

Technical note,

Corporate Author:

MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY

Personal Author(s):

Report Date:

1992-02-01

Pagination or Media Count:

31.0

Abstract:

This paper addresses basic questions regarding reliability of a-posteriori error estimation. It analyzes in detail an a-posteriori estimator for linear elements on triangular meshes. It gives the bounds of the effectivity index depending on the geometry of the triangles and smoothness of the approximated solution. The theoretical results are in concordance with the results of our numerical experiments. The second part analyzes in one dimensional setting a one parametric family of the estimators and their optimal selection for adaptively constructed meshes.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE