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references.bib
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% ********************************************************************
% IGA
% ********************************************************************
@Article{Garoni2014,
author="Garoni, Carlo
and Manni, Carla
and Pelosi, Francesca
and Serra-Capizzano, Stefano
and Speleers, Hendrik",
title="On the spectrum of stiffness matrices arising from isogeometric analysis",
journal="Numerische Mathematik",
year="2014",
volume="127",
number="4",
pages="751--799",
issn="0945-3245",
doi="10.1007/s00211-013-0600-2",
url="http://dx.doi.org/10.1007/s00211-013-0600-2"
}
@book{DeBoor_Book2001,
title={A Practical Guide to Splines},
author={de Boor, C.},
isbn={9780387953663},
lccn={20049644},
series={Applied Mathematical Sciences},
url={https://books.google.de/books?id=m0QDJvBI\_ecC},
year={2001},
publisher={Springer New York}
}
@article{Ratnani2012,
title = "An Isogeometric Analysis Approach for the study of the gyrokinetic quasi-neutrality equation",
author = "Crouseilles, N. and Ratnani, A. and Sonnendr{\"u}cker, E. ",
journal = "Journal of Computational Physics",
volume = "231",
year = "2012",
pages = "373-393"
}
@article{Hughes_CMAME2005,
title={{Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement}},
author={Hughes, TJR and Cottrell, JA and Bazilevs, Y.},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={194},
number={39-41},
pages={4135--4195},
year={2005},
publisher={Elsevier}
}
@article{vanderZee:2011,
author = {van der Zee, K. G. and Verhoosel, C. V.},
title = {Isogeometric analysis-based goal-oriented error estimation for free-boundary problems},
journal = {Finite Elem. Anal. Des.},
issue_date = {June, 2011},
volume = {47},
issue = {6},
month = {June},
year = {2011},
issn = {0168-874X},
pages = {600--609},
numpages = {10},
url = {http://dx.doi.org/10.1016/j.finel.2010.12.013},
doi = {http://dx.doi.org/10.1016/j.finel.2010.12.013},
acmid = {1968380},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
keywords = {A posteriori error estimation, B\'{e}zier extraction, B-splines, Bernoulli free boundary problem, Duality, Goal-oriented analysis, Isogeometric analysis, Non-uniform rational B-splines (NURBS), Shape-linearized adjoint, T-splines},
}
@article{isopic,
author = {{Back, A.} and {Crestetto, A.} and {Ratnani, A.} and
{Sonnendr\"ucker, E.}},
encoding = {tex},
title = {An axisymmetric PIC code based on isogeometric analysis},
DOI= "10.1051/proc/2011016",
url= "http://dx.doi.org/10.1051/proc/2011016",
journal = {ESAIM: Proc.},
year = 2011,
volume = 32,
pages = "118-133",
month = "",
}
@inproceedings{aigner2009,
author = {Aigner, M. and Heinrich, C. and J\"{u}ttler, B. and Pilgerstorfer, E. and Simeon, B. and Vuong, A. -V.},
title = {Swept Volume Parameterization for Isogeometric Analysis},
booktitle = {Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII},
year = {2009},
isbn = {978-3-642-03595-1},
location = {York, UK},
pages = {19--44},
numpages = {26},
url = {http://dx.doi.org/10.1007/978-3-642-03596-8_2},
doi = {http://dx.doi.org/10.1007/978-3-642-03596-8_2},
acmid = {1617226},
publisher = {Springer-Verlag},
address = {Berlin, Heidelberg},
}
@article{Cohen2010,
title = "Analysis-aware modeling: Understanding quality considerations in modeling for isogeometric analysis",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "5-8",
pages = "334 - 356",
year = "2010",
note = "Computational Geometry and Analysis",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2009.09.010",
url = "http://www.sciencedirect.com/science/article/B6V29-4X723W2-1/2/642667ab58e119a1fcb6bbdff69ec9d4",
author = "E. Cohen and T. Martin and R.M. Kirby and T. Lyche and R.F. Riesenfeld",
}
@article{Martin2009,
title = "Volumetric parameterization and trivariate B-spline fitting using harmonic functions",
journal = "Computer Aided Geometric Design",
volume = "26",
number = "6",
pages = "648 - 664",
year = "2009",
note = "Solid and Physical Modeling 2008, ACM Symposium on Solid and Physical Modeling and Applications",
issn = "0167-8396",
doi = "DOI: 10.1016/j.cagd.2008.09.008",
url = "http://www.sciencedirect.com/science/article/B6TYN-4TMSNPM-1/2/45c66454560d9be97f96861234bccd38",
author = "T. Martin and E. Cohen and R.M. Kirby",
}
@article{Buffa2011a,
author = {A. Buffa and
J. Rivas and
G. Sangalli and
R. V{\'a}zquez},
title = {Isogeometric Discrete Differential Forms in Three Dimensions},
journal = {SIAM J. Numerical Analysis},
volume = {49},
number = {2},
year = {2011},
pages = {818-844},
ee = {http://dx.doi.org/10.1137/100786708},
bibsource = {DBLP, http://dblp.uni-trier.de}
}
@article{prautzsch,
author = {Prautzsch, Hartmut and Piper, Bruce},
title = {A fast algorithm to raise the degree of spline curves},
journal = {Comput. Aided Geom. Des.},
volume = {8},
issue = {4},
month = {October},
year = {1991},
issn = {0167-8396},
pages = {253--265},
numpages = {13},
url = {http://portal.acm.org/citation.cfm?id=124930.124932},
doi = {10.1016/0167-8396(91)90015-4},
acmid = {124932},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
}
@article{Ratnani2011,
author = {A. Ratnani and E. Sonnendr\"ucker},
affiliation = {Project-team CALVI, INRIA Nancy Grand Est, 7 rue René Descartes, 67084 Strasbourg Cedex, France},
title = {An Arbitrary High-Order Spline Finite Element Solver for the Time Domain Maxwell Equations},
journal = {Journal of Scientific Computing},
publisher = {Springer Netherlands},
issn = {0885-7474},
keyword = {Mathematics and Statistics},
pages = {1-20},
url = {http://dx.doi.org/10.1007/s10915-011-9500-8},
note = {10.1007/s10915-011-9500-8},
year = {2011}
}
@article{hughes,
title = "Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "194",
number = "39-41",
pages = "4135 - 4195",
year = "2005",
note = "",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2004.10.008",
url = "http://www.sciencedirect.com/science/article/B6V29-4FC3S28-1/2/b41b2f3cb1f4023f71e63973d6f2f363",
author = "T.J.R. Hughes and J.A. Cottrell and Y. Bazilevs",
}
@article{hughes3,
title = "Efficient quadrature for NURBS-based isogeometric analysis",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "5-8",
pages = "301 - 313",
year = "2010",
note = "Computational Geometry and Analysis",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2008.12.004",
url = "http://www.sciencedirect.com/science/article/B6V29-4V75YNJ-1/2/a88a102a5291e66436f127c234077e1e",
author = "T.J.R. Hughes and A. Reali and G. Sangalli",
}
@article{ma,
author = {Ma, W. and Kruth, J. -P.},
affiliation = {Department of Manufacturing Engineering and Engineering Management City University of Hong Kong 83 Tat Chee Avenue Kowloon, Hong Kong},
title = {NURBS curve and surface fitting for reverse engineering},
journal = {The International Journal of Advanced Manufacturing Technology},
publisher = {Springer London},
issn = {0268-3768},
keyword = {Computer Science},
pages = {918-927},
volume = {14},
issue = {12},
url = {http://dx.doi.org/10.1007/BF01179082},
note = {10.1007/BF01179082},
year = {1998}
}
@article{dorfel,
title = "Adaptive isogeometric analysis by local h-refinement with T-splines",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "5-8",
pages = "264 - 275",
year = "2010",
note = "Computational Geometry and Analysis",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2008.07.012",
url = "http://www.sciencedirect.com/science/article/B6V29-4T4XR74-1/2/f53ba4dc17c55b8c46063209cdd55d63",
author = "Michael R. Drfel and Bert Jttler and Bernd Simeon",
}
@article{evans,
title = "n-Widths, sup-infs, and optimality ratios for the k-version of the isogeometric finite element method",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "198",
number = "21-26",
pages = "1726 - 1741",
year = "2009",
note = "Advances in Simulation-Based Engineering Sciences - Honoring J. Tinsley Oden",
issn = "0045-7825",
doi = "DOI: 10.1016/j.cma.2009.01.021",
url = "http://www.sciencedirect.com/science/article/B6V29-4VJ4WKD-1/2/4615fdbd23872b679a539bd1e9487b14",
author = "John A. Evans and Yuri Bazilevs and Ivo Babuska and Thomas J.R. Hughes",
}
@book{hughes2_book,
title={Isogeometric Analysis, toward Integration of CAD and FEA},
author={J.A Cottrell and T. Hughes and Y. Bazilevs},
publisher={John Wiley \& Sons, Ltd },
edition = {first},
year={2009}
}
@article{simeon_2011,
title = "A hierarchical approach to adaptive local refinement in isogeometric analysis",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "49-52",
pages = "3554 - 3567",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.09.004",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511002933",
author = "A.-V. Vuong and C. Giannelli and B. Juttler and B. Simeon",
}
@article{Costantini_Manni_Pelosi_Sampoli_2010,
author = {Costantini, Paolo and Manni, Carla and Pelosi, Francesca and Sampoli, M. Lucia},
title = {Quasi-interpolation in isogeometric analysis based on generalized B-splines},
journal = {Comput. Aided Geom. Des.},
volume = {27},
issue = {8},
month = {November},
year = {2010},
issn = {0167-8396},
pages = {656--668},
numpages = {13},
url = {http://dx.doi.org/10.1016/j.cagd.2010.07.004},
doi = {http://dx.doi.org/10.1016/j.cagd.2010.07.004},
acmid = {1866637},
publisher = {Elsevier Science Publishers B. V.},
address = {Amsterdam, The Netherlands, The Netherlands},
keywords = {Generalized B-splines, Isogeometric analysis, Quasi-interpolation},
}
@article{Buffa2009a,
Author = {A. Buffa and G. Sangalli and R. Vazquez},
Journal = {Comput. Methods Appl. Mech. Engrg},
Pages = {1143--1152},
Title = {Isogeometric analysis in electromagnetics: B-splines approximation},
Volume = {199},
Year = {2009}
}
@article{Buffa2,
Author = {A. Buffa and J. Rivas and G. Sangalli and R. Vazquez},
Note = {Technical report, IMATI-CNR},
Title = {Isogeometric Analysis in Electromagnetics: theory and testing}
}
@article{Buffa2011b,
author = {Buffa, A. and de Falco, C. and Sangalli, G.},
title = {IsoGeometric Analysis: Stable elements for the 2D Stokes equation},
journal = {International Journal for Numerical Methods in Fluids},
volume = {65},
number = {11-12},
publisher = {John Wiley & Sons, Ltd.},
issn = {1097-0363},
url = {http://dx.doi.org/10.1002/fld.2337},
doi = {10.1002/fld.2337},
pages = {1407--1422},
keywords = {IsoGeometric Analysis,
NURBS,
stability,
incompressibility,
Stokes flow},
year = {2011},
}
@article{Hughes2006a,
Author = {T.J.R. Hughes and Y. Bazilevs and L. Beir\`ao de Veiga and J.A. Cottrell and G. Sangalli},
Journal = {Mathematical Models and Methods in Applied Sciences (M3AS)},
Pages = {1031--1090},
Title = {Isogeometic analysis: approximation, stability and error estimates for h-refined meshes},
Volume = {16},
issue={7},
Year = {2006}
}
@article{Ratnani_thesis,
author = {A. Ratnani},
title = {Isogeometric Analysis in Plasma Physics and Electromagnetism},
year = {2011},
url = {http://tel.archives-ouvertes.fr/tel-00628060/en/},
note = "Phd thesis, INRIA, Universit\'e de Strasbourg. URL : http://tel.archives-ouvertes.fr/tel-00628060/en/"
}
@article{pigasus,
author = "A. Ratnani",
title = "Pigasus : Python for IsoGeometric AnalysiS and Unified Simulations",
note = "INRIA report: http://hal.inria.fr/hal-00769225/"
}
@article{pigasus_github,
author = "A. Ratnani",
title = "Python for IsoGeometric Analysis",
note = "https://github.com/ratnania/pigasus/tree/devel"
}
@article{caid,
author = "A. Ratnani",
title = "CAID : A CAD tool for IsoGeometric Computational domains",
note = "INRIA report: In preparation"
}
@article{caid_github,
author = "A. Ratnani",
title = "CAID : Computer Aided Isogeometric Design tool using Python",
note = "https://github.com/ratnania/caid/tree/devel"
}
@article{ratnani_mesh_plasma,
author = "A. Ratnani",
title = "Mesh Generator for 2D Plasma Modeling",
note = "In preparation"
}
@article{Vuong2010,
title = "ISOGAT: A 2D tutorial MATLAB code for Isogeometric Analysis",
journal = "Computer Aided Geometric Design",
volume = "27",
number = "8",
pages = "644 - 655",
year = "2010",
note = "Advances in Applied Geometry",
issn = "0167-8396",
doi = "10.1016/j.cagd.2010.06.006",
url = "http://www.sciencedirect.com/science/article/pii/S0167839610000713",
author = "A.-V. Vuong and Ch. Heinrich and B. Simeon",
keywords = {"Isogeometric Analysis",
"MATLAB",
"NURBS",
"Exact geometry",
"Tutorial code"}
}
@article{Gomez2010,
title = "Isogeometric analysis of the isothermal Navier¿Stokes¿Korteweg equations",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "25¿28",
pages = "1828 - 1840",
year = "2010",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2010.02.010",
url = "http://www.sciencedirect.com/science/article/pii/S004578251000068X",
author = "Hector Gomez and Thomas J.R. Hughes and Xesús Nogueira and Victor M. Calo",
}
@article{daVeiga2011b,
title = "Some estimates for h-p-k refinement in Isogeometric Analysis",
journal = "Numerische Matematik",
volume = "118",
pages = "271 - 305",
year = "2011",
note = "",
author = "L. Beirao daVeiga and A. Buffa and J. Rivas and G. Sangalli",
}
@article{deFalco2011,
title = "GeoPDEs: A research tool for Isogeometric Analysis of PDEs",
journal = "Advances in Engineering Software",
volume = "42",
number = "12",
pages = "1020 - 1034",
year = "2011",
note = "",
issn = "0965-9978",
doi = "10.1016/j.advengsoft.2011.06.010",
url = "http://www.sciencedirect.com/science/article/pii/S0965997811001839",
author = "C. de Falco and A. Reali and R. Vázquez",
keywords = {"Isogeometric Analysis",
"Finite element method",
"NURBS",
"B-Splines",
"Matlab",
"Octave"}
}
@article{Manni2011a,
title = "Isogeometric analysis in advection-diffusion problems: Tension splines approximation",
journal = "Journal of Computational and Applied Mathematics",
volume = "236",
number = "4",
pages = "511 - 528",
year = "2011",
note = "International Workshop on Multivariate Approximation and Interpolation with Applications (MAIA 2010)",
issn = "0377-0427",
doi = "10.1016/j.cam.2011.05.029",
url = "http://www.sciencedirect.com/science/article/pii/S037704271100286X",
author = "Carla Manni and Francesca Pelosi and M. Lucia Sampoli",
keywords = {"Advection-diffusion problems",
"Isogeometric Analysis",
"Variable degree splines",
"Exponential splines",
"Splines in tension"}
}
@article{Costantini2010,
title = "Quasi-interpolation in isogeometric analysis based on generalized B-splines",
journal = "Computer Aided Geometric Design",
volume = "27",
number = "8",
pages = "656 - 668",
year = "2010",
note = "Advances in Applied Geometry",
issn = "0167-8396",
doi = "10.1016/j.cagd.2010.07.004",
url = "http://www.sciencedirect.com/science/article/pii/S0167839610000762",
author = "Paolo Costantini and Carla Manni and Francesca Pelosi and M. Lucia Sampoli",
keywords = {"Quasi-interpolation",
"Isogeometric analysis",
"Generalized B-splines"}
}
@article{Manni2011b,
title = "Generalized B-splines as a tool in isogeometric analysis",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "5-8",
pages = "867 - 881",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2010.10.010",
url = "http://www.sciencedirect.com/science/article/pii/S0045782510002884",
author = "Carla Manni and Francesca Pelosi and M. Lucia Sampoli",
keywords = {"Isogeometric analysis",
"Generalized B-splines",
"NURBS",
"CAD"}
}
@article{Farouki2012,
title = "The Bernstein polynomial basis: A centennial retrospective",
journal = "Computer Aided Geometric Design",
volume = "29",
number = "6",
pages = "379 - 419",
year = "2012",
note = "",
issn = "0167-8396",
doi = "10.1016/j.cagd.2012.03.001",
url = "http://www.sciencedirect.com/science/article/pii/S0167839612000192",
author = "Rida T. Farouki",
keywords = {"Bernstein basis",
"Weierstrass theorem",
"Polynomial approximation",
"Bézier curves and surfaces",
"Numerical stability",
"Polynomial algorithms"}
}
@article{Schillinger2012,
title = "An isogeometric design-through-analysis methodology based on adaptive hierarchical refinement of NURBS, immersed boundary methods, and T-spline CAD surfaces",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "",
number = "",
pages = "",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2012.03.017",
url = "http://www.sciencedirect.com/science/article/pii/S004578251200093X",
author = "Dominik Schillinger and Luca Ded\`e and Michael A. Scott and John A. Evans and Michael J. Borden and Ernst Rank and Thomas J.R. Hughes",
keywords = {"Isogeometric analysis",
"Hierarchical refinement",
"Adaptivity with NURBS",
"Immersed boundary analysis",
"Finite cell method",
"T-spline CAD surfaces"}
}
@article{Schillinger2011,
title = "An unfitted hp-adaptive finite element method based on hierarchical B-splines for interface problems of complex geometry",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "47-48",
pages = "3358 - 3380",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.08.002",
url = "http://www.sciencedirect.com/science/article/pii/S004578251100257X",
author = "Dominik Schillinger and Ernst Rank",
keywords = {"High-order B-spline finite elements",
"Regular grid",
"Hierarchical refinement",
"Interface problems",
"Complex geometries",
"Finite Cell Method"}
}
@article{Collier2012,
title = "The cost of continuity: A study of the performance of isogeometric finite elements using direct solvers",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "213-216",
number = "0",
pages = "353 - 361",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.11.002",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511003392",
author = "Nathan Collier and David Pardo and Lisandro Dalcin and Maciej Paszynski and V.M. Calo",
keywords = {"Isogeometric analysis",
"Direct solvers",
"Multi-frontal solvers",
"k-Refinement",
"Performance"}
}
@article{Martin2010,
title = "Volumetric parameterization of complex objects by respecting multiple materials",
journal = "Computers Graphics",
volume = "34",
number = "3",
pages = "187 - 197",
year = "2010",
note = "Shape Modelling International (SMI) Conference 2010",
issn = "0097-8493",
doi = "10.1016/j.cag.2010.03.011",
url = "http://www.sciencedirect.com/science/article/pii/S0097849310000506",
author = "Tobias Martin and Elaine Cohen",
keywords = {"Trivariate b-spline modeling and generation",
"Volumetric parameterization",
"Model acquisition for simulation"}
}
@article{Martin2012,
title = "Mixed-element volume completion from NURBS surfaces",
journal = "Computers Graphics",
volume = "36",
number = "5",
pages = "548 - 554",
year = "2012",
note = "Shape Modeling International (SMI) Conference 2012",
issn = "0097-8493",
doi = "10.1016/j.cag.2012.03.008",
url = "http://www.sciencedirect.com/science/article/pii/S0097849312000477",
author = "Tobias Martin and Elaine Cohen and Robert M. Kirby",
keywords = {"Model completion",
"Volumetric parameterization",
"Meshing",
"Physically-based animation and simulation"}
}
@article{Wang2011,
title = "Adaptive isogeometric analysis using rational PHT-splines",
journal = "Computer-Aided Design",
volume = "43",
number = "11",
pages = "1438 - 1448",
year = "2011",
note = "Solid and Physical Modeling 2011",
issn = "0010-4485",
doi = "10.1016/j.cad.2011.08.026",
url = "http://www.sciencedirect.com/science/article/pii/S0010448511002259",
author = "Ping Wang and Jinlan Xu and Jiansong Deng and Falai Chen",
keywords = {"Isogeometric analysis (IGA)",
"FEA",
"PHT-splines",
"RPHT-splines",
"Residual-based a posteriori error estimator"}
}
@article{NguyenThanh2011,
title = "Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "21-22",
pages = "1892 - 1908",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.01.018",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511000338",
author = "N. Nguyen-Thanh and H. Nguyen-Xuan and S.P.A. Bordas and T. Rabczuk",
keywords = {"Isogeometric analysis",
"T-spline",
"T-meshes",
"PHT-spline"}
}
@article{Giannelli2012,
title = "THB-splines: The truncated basis for hierarchical splines",
journal = "Computer Aided Geometric Design",
volume = "29",
number = "7",
pages = "485 - 498",
year = "2012",
note = "Geometric Modeling and Processing 2012",
issn = "0167-8396",
doi = "10.1016/j.cagd.2012.03.025",
url = "http://www.sciencedirect.com/science/article/pii/S0167839612000519",
author = "Carlotta Giannelli and Bert Juttler and Hendrik Speleers",
keywords = {"Hierarchical tensor¿product B-splines",
"Truncated basis",
"Local refinement",
"Partition of unity"}
}
@article{Tian2011,
title = "Adaptive finite element methods for elliptic equations over hierarchical T-meshes",
journal = "Journal of Computational and Applied Mathematics",
volume = "236",
number = "5",
pages = "878 - 891",
year = "2011",
note = "The 7th International Conference on Scientific Computing and Applications, June 13-16, 2010, Dalian, China",
issn = "0377-0427",
doi = "10.1016/j.cam.2011.05.016",
url = "http://www.sciencedirect.com/science/article/pii/S0377042711002639",
author = "Li Tian and Falai Chen and Qiang Du",
keywords = {"Numerical PDEs",
"Adaptive finite element",
"Adaptive PHT-splines",
"A posteriori error estimations",
"Hierarchical T-meshes"}
}
@article{Scott2012,
title = "Local refinement of analysis-suitable T-splines",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "213-216",
number = "0",
pages = "206 - 222",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.11.022",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511003689",
author = "M.A. Scott and X. Li and T.W. Sederberg and T.J.R. Hughes",
keywords = {"Isogeometric analysis",
"T-splines",
"Local refinement",
"Bézier extraction"}
}
@article{Rypl2012,
title = "Object oriented implementation of the T-spline based isogeometric analysis",
journal = "Advances in Engineering Software",
volume = "50",
number = "0",
pages = "137 - 149",
year = "2012",
note = "CIVIL-COMP",
issn = "0965-9978",
doi = "10.1016/j.advengsoft.2012.02.004",
url = "http://www.sciencedirect.com/science/article/pii/S096599781200035X",
author = "Daniel Rypl and Boek Patzák",
keywords = {"Isogeometric analysis",
"B-splines",
"NURBS",
"T-splines",
"Structural analysis",
"Object oriented environment"}
}
@article{XinLi2012,
title = "On linear independence of T-spline blending functions",
journal = "Computer Aided Geometric Design",
volume = "29",
number = "1",
pages = "63 - 76",
year = "2012",
note = "Geometric Constraints and Reasoning",
issn = "0167-8396",
doi = "10.1016/j.cagd.2011.08.005",
url = "http://www.sciencedirect.com/science/article/pii/S0167839611000938",
author = "Xin Li and Jianmin Zheng and Thomas W. Sederberg and Thomas J.R. Hughes and Michael A. Scott",
keywords = {"T-splines",
"Blending functions",
"Linear independence",
"NURBS",
"Isogeometric analysis"}
}
@article{daVeiga2011,
title = "IsoGeometric analysis using T-splines on two-patch geometries",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "21-22",
pages = "1787 - 1803",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.02.005",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511000405",
author = "L. Beir\`ao da Veiga and A. Buffa and D. Cho and G. Sangalli",
keywords = {"IsoGeometric analysis",
"T-splines",
"Approximation",
"Error estimates"}
}
@article{Buffa2012,
title = "Characterization of T-splines with reduced continuity order on T-meshes",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "201-204",
number = "0",
pages = "112 - 126",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.09.005",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511002945",
author = "A. Buffa and D. Cho and M. Kumar",
keywords = {"Isogeometric analysis",
"T-splines",
"Characterization",
"Local refinement"}
}
@article{daVeiga2012,
title = "Analysis-Suitable T-splines are Dual-Compatible",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "",
number = "0",
pages = " - ",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2012.02.025",
url = "http://www.sciencedirect.com/science/article/pii/S0045782512000679",
author = "L. Beir\`ao da Veiga and A. Buffa and D. Cho and G. Sangalli",
keywords = {"Isogeometric analysis",
"Analysis-Suitable T-splines",
"Dual-Compatible T-splines",
"Dual basis"}
}
@article{Berdinsky2012,
title = "On the problem of instability in the dimension of a spline space over a T-mesh",
journal = "Computers Graphics",
volume = "36",
number = "5",
pages = "507 - 513",
year = "2012",
note = "Shape Modeling International (SMI) Conference 2012",
issn = "0097-8493",
doi = "10.1016/j.cag.2012.03.005",
url = "http://www.sciencedirect.com/science/article/pii/S0097849312000441",
author = "Dmitry Berdinsky and Min-jae Oh and Tae-wan Kim and Bernard Mourrain",
keywords = {"Spline space",
"T-mesh",
"Dimension"}
}
@article{Xu2011b,
title = "Parameterization of computational domain in isogeometric analysis: Methods and comparison",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "200",
number = "23-24",
pages = "2021 - 2031",
year = "2011",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.03.005",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511001101",
author = "Gang Xu and Bernard Mourrain and R\'egis Duvigneau and Andr\'e Galligo",
keywords = {"Isogeometric analysis",
"Injectivity of B-spline parameterization",
"Constraint optimization method",
"A posteriori error estimation",
"r-Refinement"}
}
@article{Ratnani2012b,
author={A. Ratnani and E. Sonnendr\"ucker},
title={Isogeometric analysis in reduced magnetohydrodynamics},
journal={Computational Science \& Discovery},
volume={5},
number={1},
pages={014007},
url={http://stacks.iop.org/1749-4699/5/i=1/a=014007},
year={2012},
}
@article{Bazilevs2012,
title = "Isogeometric fluid¿structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "",
number = "0",
pages = " - ",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2012.03.028",
url = "http://www.sciencedirect.com/science/article/pii/S0045782512001041",
author = "Y. Bazilevs and M.-C. Hsu and M.A. Scott",
keywords = {"Isogeometric analysis",
"NURBS",
"T-splines",
"Fluid-structure interaction",
"Non-matching interface discretizations",
"NREL 5 MW offshore wind turbine rotor"}
}
@article{Buffa2010,
title = "Isogeometric analysis in electromagnetics: B-splines approximation",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "17-20",
pages = "1143 - 1152",
year = "2010",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2009.12.002",
url = "http://www.sciencedirect.com/science/article/pii/S0045782509004010",
author = "A. Buffa and G. Sangalli and R. Vázquez",
keywords = {"Isogeometric analysis",
"Compatible schemes",
"Maxwell equations",
"Eigenvalue problem"}
}
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title = "Optimal analysis-aware parameterization of computational domain in 3D isogeometric analysis",
journal = "Computer-Aided Design",
volume = "",
number = "",
pages = "",
year = "2011",
note = "",
issn = "0010-4485",
doi = "10.1016/j.cad.2011.05.007",
url = "http://www.sciencedirect.com/science/article/pii/S0010448511001175",
author = "Gang Xu and Bernard Mourrain and R\'egis Duvigneau and Andr\'e Galligo",
keywords = {"Isogeometric analysis",
"Analysis-aware parameterization of computational domain",
"Injectivity",
"Shape optimization",
"Steepest descent method"}
}
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title = "A finite volume method on NURBS geometries and its application in isogeometric fluid¿structure interaction",
journal = "Mathematics and Computers in Simulation",
volume = "82",
number = "9",
pages = "1645 - 1666",
year = "2012",
note = "",
issn = "0378-4754",
doi = "10.1016/j.matcom.2012.03.008",
url = "http://www.sciencedirect.com/science/article/pii/S0378475412000730",
author = "Ch. Heinrich and B. Simeon and St. Boschert",
keywords = {"Finite volume method",
"NURBS",
"Exact geometry",
"Navier¿Stokes equations",
"Fluid¿structure interaction",
"Matching interface"}
}
@article{Shojaee2012,
title = "Free vibration analysis of thin plates by using a NURBS-based isogeometric approach",
journal = "Finite Elements in Analysis and Design",
volume = "61",
number = "0",
pages = "23 - 34",
year = "2012",
note = "",
issn = "0168-874X",
doi = "10.1016/j.finel.2012.06.005",
url = "http://www.sciencedirect.com/science/article/pii/S0168874X12001199",
author = "S. Shojaee and E. Izadpanah and N. Valizadeh and J. Kiendl",
keywords = {"Free vibration",
"Plate",
"Isogeometric analysis",
"NURBS",
"Kirchhoff plate"}
}
@article{Bazilevs2010,
title = "Isogeometric analysis using T-splines",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "199",
number = "5-8",
pages = "229 - 263",
year = "2010",
note = "Computational Geometry and Analysis",
issn = "0045-7825",
doi = "10.1016/j.cma.2009.02.036",
url = "http://www.sciencedirect.com/science/article/pii/S0045782509000875",
author = "Y. Bazilevs and V.M. Calo and J.A. Cottrell and J.A. Evans and T.J.R. Hughes and S. Lipton and M.A. Scott and T.W. Sederberg",
keywords = {"T-splines",
"NURBS",
"Isogeometric analysis",
"CAD",
"FEA",
"Fluid dynamics",
"Structural analysis",
"PB-splines"}
}
@article{Bornemann2013,
title = "A subdivision-based implementation of the hierarchical b-spline finite element method",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "253",
number = "0",
pages = "584 - 598",
year = "2013",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2012.06.023",
url = "http://www.sciencedirect.com/science/article/pii/S0045782512002204",
author = "P.B. Bornemann and F. Cirak",
keywords = {"Finite elements",
"Hierarchical b-splines",
"Subdivision schemes",
"Isogeometric analysis"}
}
@article{daVeiga2012b,
title = "Anisotropic NURBS approximation in isogeometric analysis",
journal = "Computer Methods in Applied Mechanics and Engineering",
volume = "209-212",
number = "0",
pages = "1 - 11",
year = "2012",
note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2011.10.016",
url = "http://www.sciencedirect.com/science/article/pii/S0045782511003379",
author = "L. Beir{\~a}o da Veiga and D. Cho and G. Sangalli",
keywords = {"Isogeometric analysis",
"Anisotropic refinement",
"Error estimates"}
}
@article{Buffa2013a,
title = "BPX-preconditioning for isogeometric analysis ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "265",
number = "",