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Adaptive refinement with locally linearly independent LR B-splines: Theory and applications

Abstract

In this paper, we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.

Category

Academic article

Language

English

Author(s)

  • Francesco Patrizi
  • Carla Manni
  • Francesca Pelosi
  • Hendrik Speleers

Affiliation

  • SINTEF Digital / Mathematics and Cybernetics
  • University of Rome Tor Vergata

Date

01.09.2020

Year

2020

Published in

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Volume

369

View this publication at Norwegian Research Information Repository