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Patient-specific isogeometric structural analysis of aortic valve closure [PDF]

Computer Methods in Applied Mechanics and Engineering, 2015
We investigate the use of Isogeometric Analysis for the model construction and simulation of aortic valve closure. We obtain converged results and compare with benchmark finite element analysis.
Simone Morganti, Ferdinando Auricchio, D J Benson   +2 more
exaly   +2 more sources

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BDDC PRECONDITIONERS FOR ISOGEOMETRIC ANALYSIS

Mathematical Models and Methods in Applied Sciences, 2013
A Balancing Domain Decomposition by Constraints (BDDC) preconditioner for Isogeometric Analysis of scalar elliptic problems is constructed and analyzed by introducing appropriate discrete norms. A main result of this work is the proof that the proposed isogeometric BDDC preconditioner is scalable in the number of subdomains and quasi-optimal in the ...
L. Beirao da Veiga, D. Cho, L. Pavarino, S. Scacchi   +3 more
openaire   +4 more sources

Isogeometric analysis of Lagrangian hydrodynamics

Journal of Computational Physics, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yuri Bazilevs, I. Akkerman, D. J. Benson, Guglielmo Scovazzi, Mikhail J. Shashkov   +4 more
openaire   +1 more source

Isogeometric Analysis for Electromagnetic Problems

IEEE Transactions on Magnetics, 2010
Isogeometric analysis (IGA) is a novel discretization method, introduced by Hughes, which is based on nonuniform rational B-splines (NURBS). Among other features, IGA uses directly the geometry description coming from computer-aided design software without approximation, and the analysis is performed using shape functions of variable (possibly high ...
R Vázquez, A Buffa
openaire   +1 more source

The Isogeometric Analysis Method

2023
The purpose of this book is to briefly present the ‘Method of Isogeometric Analysis’ which is an extension of the well-known Finite Element Method mainly with the extensive use of NURBS. Since 2008, i.e. three years after the first appearance of the method, many European research projects have been implemented and some of them have resulted in open ...
openaire   +1 more source

Isogeometric design and analysis

Computer-Aided Design, 2017
Bert Jüttler, Xiaoping Qian, Michael A. Scott   +2 more
openaire   +1 more source

Isogeometric Analysis

2009
J. Austin Cottrell, Thomas J. R. Hughes, Yuri Bazilevs   +2 more
openaire   +3 more sources

Isogeometric Analysis

Proceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011
Thomas J.R. Hughes, John A. Evans
openaire   +1 more source

Isogeometric collocation: Cost comparison with Galerkin methods and extension to adaptive hierarchical NURBS discretizations

Computer Methods in Applied Mechanics and Engineering, 2013
Dominik Schillinger, John A Evans, Alessandro Reali   +2 more
exaly  

Isogeometric analysis using T-splines

Computer Methods in Applied Mechanics and Engineering, 2010
Y Bazilevs, VÍCTOR M Calò, J A Evans
exaly