Isogeometric analysis using T-splines

Yuri Bazilevs; Victor M. Calo; J. Austin Cottrell; John A. Evans; Thomas Jr R Hughes; S. Lipton; Michael A. Scott; Thomas W. Sederberg

doi:10.1016/j.cma.2009.02.036

Isogeometric analysis using T-splines

Yuri Bazilevs, Victor M. Calo, J. Austin Cottrell, John A. Evans, Thomas Jr R Hughes, S. Lipton, Michael A. Scott, Thomas W. Sederberg

Research output: Contribution to journal › Article › peer-review

915 Scopus citations

Abstract

We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities. © 2009 Elsevier B.V.

Original language	English (US)
Pages (from-to)	229-263
Number of pages	35
Journal	Computer Methods in Applied Mechanics and Engineering
Volume	199
Issue number	5-8
DOIs	https://doi.org/10.1016/j.cma.2009.02.036
State	Published - Jan 2010

ASJC Scopus subject areas

General Physics and Astronomy
Mechanics of Materials
Mechanical Engineering
Computational Mechanics
Computer Science Applications

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10.1016/j.cma.2009.02.036

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title = "Isogeometric analysis using T-splines",

abstract = "We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities. {\textcopyright} 2009 Elsevier B.V.",

author = "Yuri Bazilevs and Calo, {Victor M.} and Cottrell, {J. Austin} and Evans, {John A.} and Hughes, {Thomas Jr R} and S. Lipton and Scott, {Michael A.} and Sederberg, {Thomas W.}",

note = "KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We wish to thank Omar Ghattas for helpful insights into the relationship between isogeometric analysis and high-performance computing. J.A. Evans was partially supported by the Department of Energy Computational Science Graduate Fellowship, provided under Grant Number DE-FG02-97ER25308. S. Lipton was partially supported by the Department of Defense National Defense Science and Engineering Fellowship. Support of the Office of Naval Research Contract N00014-03-0263, Dr. Luise Couchman, contract monitor, is gratefully acknowledged.",

year = "2010",

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doi = "10.1016/j.cma.2009.02.036",

language = "English (US)",

volume = "199",

pages = "229--263",

journal = "Computer Methods in Applied Mechanics and Engineering",

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T1 - Isogeometric analysis using T-splines

AU - Bazilevs, Yuri

AU - Calo, Victor M.

AU - Cottrell, J. Austin

AU - Evans, John A.

AU - Hughes, Thomas Jr R

AU - Lipton, S.

AU - Scott, Michael A.

AU - Sederberg, Thomas W.

N1 - KAUST Repository Item: Exported on 2020-10-01 Acknowledgements: We wish to thank Omar Ghattas for helpful insights into the relationship between isogeometric analysis and high-performance computing. J.A. Evans was partially supported by the Department of Energy Computational Science Graduate Fellowship, provided under Grant Number DE-FG02-97ER25308. S. Lipton was partially supported by the Department of Defense National Defense Science and Engineering Fellowship. Support of the Office of Naval Research Contract N00014-03-0263, Dr. Luise Couchman, contract monitor, is gratefully acknowledged.

PY - 2010/1

Y1 - 2010/1

N2 - We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities. © 2009 Elsevier B.V.

AB - We explore T-splines, a generalization of NURBS enabling local refinement, as a basis for isogeometric analysis. We review T-splines as a surface design methodology and then develop it for engineering analysis applications. We test T-splines on some elementary two-dimensional and three-dimensional fluid and structural analysis problems and attain good results in all cases. We summarize the current status of T-splines, their limitations, and future possibilities. © 2009 Elsevier B.V.

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DO - 10.1016/j.cma.2009.02.036

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EP - 263

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

IS - 5-8

ER -

Isogeometric analysis using T-splines

Abstract

ASJC Scopus subject areas

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