Local Refinement of Analysis-Suitable T-splines

Abstract

We develop a local refinement algorithm for analysis-suitable T-splines which does not produce excessive propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. Analysis-suitable T-splines are a class of T-splines which are linearly independent and form a partition of unity. These properties, coupled with local refinement, make this class of T-splines appealing as a basis for isogeometric analysis.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 2011
Accession Number
ADA555339

Entities

People

  • M. A. Scott
  • T. W. Sederberg
  • Thomas J.R. Hughes
  • Xiangchong Li

Organizations

  • University of Texas at Austin

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Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Boundaries
  • Computer Science
  • Containers
  • Coordinate Systems
  • Engineering
  • Equations
  • Extraction
  • Finite Element Analysis
  • Geometry
  • Intervals
  • Iterations
  • Numbers
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Readers

  • Computational Fluid Dynamics (CFD)
  • Graph Algorithms and Convex Optimization.