skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Dual error estimators using gradient recovery.

Abstract

No abstract prepared.

Authors:
Publication Date:
Research Org.:
Sandia National Laboratories
Sponsoring Org.:
USDOE
OSTI Identifier:
884703
Report Number(s):
SAND2006-0656C
TRN: US200616%%9
DOE Contract Number:
AC04-94AL85000
Resource Type:
Conference
Resource Relation:
Conference: Proposed for presentation at the Conference Presentation held February 6-7, 2006 in Ft. Collins, CO.
Country of Publication:
United States
Language:
English
Subject:
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE; ERRORS; DETERMINISTIC ESTIMATION; FORECASTING

Citation Formats

Carnes, Brian. Dual error estimators using gradient recovery.. United States: N. p., 2006. Web.
Carnes, Brian. Dual error estimators using gradient recovery.. United States.
Carnes, Brian. Sun . "Dual error estimators using gradient recovery.". United States. doi:.
@article{osti_884703,
title = {Dual error estimators using gradient recovery.},
author = {Carnes, Brian},
abstractNote = {No abstract prepared.},
doi = {},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jan 01 00:00:00 EST 2006},
month = {Sun Jan 01 00:00:00 EST 2006}
}

Conference:
Other availability
Please see Document Availability for additional information on obtaining the full-text document. Library patrons may search WorldCat to identify libraries that hold this conference proceeding.

Save / Share:
  • Abstract not provided.
  • The swift improvement of computational capabilities enables us to apply finite element methods to simulate more and more problems arising from various applications. A fundamental question associated with finite element simulations is their accuracy. In other words, before we can make any decisions based on the numerical solutions, we must be sure that they are acceptable in the sense that their errors are within the given tolerances. Various estimators have been developed to assess the accuracy of finite element solutions, and they can be classified basically into two types: a priori error estimates and a posteriori error estimates. While amore » priori error estimates can give us asymptotic convergence rates of numerical solutions in terms of the grid size before the computations, they depend on certain Sobolev norms of the true solutions which are not known, in general. Therefore, it is difficult, if not impossible, to use a priori estimates directly to decide whether a numerical solution is acceptable or a finer partition (and so a new numerical solution) is needed. In contrast, a posteriori error estimates depends only on the numerical solutions, and they usually give computable quantities about the accuracy of the numerical solutions.« less
  • Major fuel cycle facilities in the US private sector are required to respond-at predetermined alarm levels-to various special nuclear material loss estimators in the material control and accounting (MC and A) area. This paper presents US Nuclear Regulatory Commission (NRC) policy, along with the underlying statistical rationale, for establishing and inspecting the application of thresholds to detect excessive inventory differences (ID). Accordingly, escalating responsive action must be taken to satisfy NRC`s MC and A regulations for low-enriched uranium (LEU) fuel conversion/fabrication plants and LEU enrichment facilities. The establishment of appropriate ID detection thresholds depends on a site-specific goal quantity, amore » specified probability of detection and the standard error of the ID. Regulatory guidelines for ID significance tests and process control tests conducted by licensees with highly enriched uranium are similarly rationalized in definitive hypothesis testing including null and alternative hypotheses; statistical efforts of the first, second, third, and fourth kinds; and suitable test statistics, uncertainty estimates, prevailing assumptions, and critical values for comparisons. Conceptual approaches are described in the context of significance test considerations and measurement error models including the treatment of so called ``systematic error variance`` effects as observations of random variables in the statistical sense.« less
  • We present a new method of metric recovery for minimization of L{sub p}-norms of the interpolation error or its gradient. The method uses edge-based a posteriori error estimates. The method is analyzed for conformal simplicial meshes in spaces of arbitrary dimension d.
  • No abstract prepared.