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An Introduction to Isogeometric Collocation Methods

  • Alessandro Reali
  • Thomas J. R. Hughes
Chapter
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 561)

Abstract

Within the framework of isogeometric analysis, collocation methods have been recently proposed as an interesting strong form alternative to standard Galerkin approaches, characterized by a significantly reduced computational cost, but still guaranteeing higher order convergence rates. In this chapter we provide a concise introduction to isogeometric collocation methods and propose a brief review of some of the most important results obtained so far in this context.

Keywords

Finite Element Analysis Collocation Method Collocation Point Isogeometric Analysis Explicit Dynamic 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© CISM, Udine 2015

Authors and Affiliations

  • Alessandro Reali
    • 1
    • 2
  • Thomas J. R. Hughes
    • 3
  1. 1.Department of Civil Engineering and ArchitectureUniversity of PaviaPaviaItaly
  2. 2.CNR Institute of Applied Mathematics and Information Technology “E. Magenes”PaviaItaly
  3. 3.Institute for Computational Engineering and SciencesUniversity of Texas at AustinAustinUSA

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