ISOGEOMETRIC COLLOCATION METHODS-Reference-Cited by-同舟云学术

ISOGEOMETRIC COLLOCATION METHODS

Published:2010-11 Issue:11 Volume:20 Page:2075-2107
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

AURICCHIO F.¹,DA VEIGA L. BEIRÃO²,HUGHES T. J. R.³,REALI A.¹,SANGALLI G.⁴

Affiliation:

1. Structural Mechanics Department, University of Pavia, Italy

2. Mathematics Department "F. Enriques", University of Milan, Italy

3. Institute for Computational Engineering and Sciences, University of Texas at Austin, USA

4. Mathematics Department, University of Pavia, Italy

Abstract

We initiate the study of collocation methods for NURBS-based isogeometric analysis. The idea is to connect the superior accuracy and smoothness of NURBS basis functions with the low computational cost of collocation. We develop a one-dimensional theoretical analysis, and perform numerical tests in one, two and three dimensions. The numerical results obtained confirm theoretical results and illustrate the potential of the methodology.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202510004878

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