Accession Number:

ADA555335

Title:

Explicit Trace Inequalities for Isogeometric Analysis and Parametric Hexahedral Finite Elements

Descriptive Note:

Corporate Author:

TEXAS UNIV AT AUSTIN INST FOR COMPUTATIONAL ENGINEERING AND SCIENCES

Personal Author(s):

Report Date:

2011-05-01

Pagination or Media Count:

25.0

Abstract:

We derive new trace inequalities for NURBS-mapped domains. In addition to Sobolev-type inequalities, we derive discrete trace inequalities for use in NURBS-based isogeometric analysis. All dependencies on shape, size, polynomial order, and the NURBS weighting function are precisely specified in our analysis, and explicit values are provided for all bounding constants appearing in our estimates. As hexahedral finite elements are special cases of NURBS our results specialize to parametric hexahedral finite elements, and our analysis also generalizes to T-spline-based isogeometric analysis.

Subject Categories:

  • Numerical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE