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@book{Piegl1997,
title={The NURBS book},
author={Piegl, Les and Tiller, Wayne},
year={1997},
publisher={Springer}
}
@book{Kraft1997,
title={Adaptive and linearly independent multilevel B-splines},
author={Kraft, Rainer},
year={1997},
publisher={Univ., Sonderforschungsbereich 404}
}
@article{iga2005,
title = "Isogeometric analysis: {CAD}, finite elements, {NURBS}, exact geometry and mesh refinement",
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journal = "Comput. Meth. Appl. Mech. Eng",
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number = "39--41",
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note = "",
issn = "0045-7825",
doi = "10.1016/j.cma.2004.10.008",
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}
@MISC{eigenweb,
author = {Ga\"{e}l Guennebaud and Beno\^{i}t Jacob and others},
title = {Eigen v3},
howpublished = {http://eigen.tuxfamily.org},
year = {2010}
}
@incollection{PARDISO500,
author={A.~Kuzmin and M.~Luisier and O.~Schenk},
title={Fast Methods for Computing Selected Elements of the Greens Function in Massively Parallel Nanoelectronic Device Simulations},
pages={533-544},
year={2013},
isbn={978-3-642-40046-9},
booktitle={Euro-Par 2013 Parallel Processing},
volume={8097},
series={Lecture Notes in Computer Science},
editor={F.~Wolf and B.~Mohr and D.~Mey},
doi={10.1007/978-3-642-40047-6_54},
url={http://dx.doi.org/10.1007/978-3-642-40047-6_54},
publisher={Springer Berlin Heidelberg}
}
@article{splinemethods2008,
title={Spline Methods Draft},
author={Lyche, Tom and Morken, Knut},
journal={Department of Informatics, University of Oslo},
url={http://www.uio.no/studier/emner/matnat/ifi/INF-MAT5340/v10/undervisningsmateriale/book.pdf}
year={2008}
}
@article{jlmmz2014,
author = {Bert Juettler and Ulrich Langer and Angelos Mantzaflaris and Stephen Moore and Walter Zulehner},
title = {Geometry + Simulation Modules: Implementing Isogeometric Analysis},
journal = {Proc. Appl. Math. Mech.},
volume = 14,
number = 1,
publisher = {Wiley},
issn = {1617-7061},
pages = {961-962},
year = 2014,
url = {http://dx.doi.org/10.1002/pamm.201410461},
note = {Special Issue: 85th Annual Meeting of the Int. Assoc. of Appl. Math. and Mech. (GAMM), Erlangen 2014}
}
@incollection{lmmt2015a,
title = {Multipatch discontinuous {G}alerkin isogeometric
analysis},
author = {Ulrich Langer and Angelos Mantzaflaris and Stephen Moore and
Ioannis Toulopoulos},
year = {2015},
address = {Linz},
arxiv = {http://arxiv.org/abs/1411.2478},
booktitle = {Isogeometric Analysis and Applications},
series = {Lecture Notes in Computational Science and Engineering},
url = {http://link.springer.com/chapter/10.1007/978-3-319-23315-4_1},
ricam = {http://www.ricam.oeaw.ac.at/publications/reports/14/rep14-18.pdf},
}
@article{gjkmss2015,
title = "THB-splines: An effective mathematical technology for adaptive refinement in geometric design and isogeometric analysis ",
journal = "Computer Methods in Applied Mechanics and Engineering ",
volume = "299",
pages = {337 - 365},
year = {2016},
issn = "0045-7825",
url = {http://www.sciencedirect.com/science/article/pii/S0045782515003540},
author = "Carlotta Giannelli and Bert Juettler and Stefan K. Kleiss and Angelos Mantzaflaris and Bernd Simeon and Jaka Speh",
nfngs = {http://gs.jku.at/pubs/NFNreport30.pdf}
}
@article{bjm2015,
author = {Florian Buchegger and Bert Juettler and Angelos Mantzaflaris},
journal = {Applied Mathematics and Computation},
publisher = {Elsevier},
title = {Adaptively Refined Multi-Patch B-splines with Enhanced Smoothness},
year = {2016},
nfngs = {http://gs.jku.at/pubs/NFNreport26.pdf},
volume = "272, Part 1",
pages = "159 - 172",
issn = "0096-3003",
doi = "http://dx.doi.org/10.1016/j.amc.2015.06.055",
url = {http://www.sciencedirect.com/science/article/pii/S009630031500836X}
}
@article{lmmt2015b,
volume = {70},
number = {7},
pages = {1685 - 1700},
note = {High-Order Finite Element and Isogeometric Methods},
author = {Ulrich Langer and Angelos Mantzaflaris and Stephen Moore and
Ioannis Toulopoulos},
title = {Mesh Grading in Isogeometric Analysis},
journal = {Computers and Mathematics with Applications},
year = {2015},
url = {http://dx.doi.org/10.1016/j.camwa.2015.03.011},
ricam = {http://www.ricam.oeaw.ac.at/publications/reports/14/rep14-24.pdf},
}
@incollection{mjkl2015,
booktitle= {Curves and Surfaces},
volume= {9213},
editor= {Boissonnat, Jean-Daniel and Cohen, Albert and Gibaru, Olivier and Gout, Christian and Lyche, Tom and Mazure, Marie-Laurence and Schumaker, Larry L.},
pages= {321-340},
author = {Angelos Mantzaflaris and Bert Juettler and Boris Khoromskij
and Ulrich Langer},
title = {Matrix Generation in Isogeometric Analysis by Low
Rank Tensor Approximation},
publisher = {Springer},
series = {LNCS},
year = {2015},
ricam = {http://www.ricam.oeaw.ac.at/publications/reports/14/rep14-22.pdf},
hal = {http://hal.inria.fr/hal-01084421},
url = {http://link.springer.com/chapter/10.1007/978-3-319-22804-4_24},
}
@Article{iil2014,
author = {Angelos Mantzaflaris and Bert Juettler},
title = {Integration by interpolation and look-up for
{G}alerkin-based isogeometric analysis},
journal = {Comp. Methods Appl. Mech. Engrg.},
year = 2015,
url = {http://dx.doi.org/10.1016/j.cma.2014.09.014},
volume = 284,
pages = {373 -- 400},
note = {Isogeometric Analysis Special Issue},
ricam =
{http://www.ricam.oeaw.ac.at/publications/reports/14/rep14-07.pdf},
hal = {http://hal.inria.fr/hal-01011281}
}
@article{bressan2015,
title = {A hierarchical construction of {LR} meshes in 2{D}},
author = {Bressan, Andrea and J{\"u}ttler, Bert},
year = {2015},
pages = {9--24},
volume = {37},
doi = {10.1016/j.cagd.2015.06.002},
journal = {Computer Aided Geometric Design}
}
@techreport{bm2016,
title = " A Versatile Strategy for the Implementation of Adaptive Splines",
year = {2016},
number = {50},
institution = {NFN Geometry + Simulation},
author = "A. Bressan, D. Mokri\v{s}",
nfngs = {http://gs.jku.at/pubs/NFNreport50.pdf}
}
@PHDTHESIS{zore2016,
title = {Constructions and Properties of Adaptively Refined Multilevel Spline Spaces},
type = {Dissertation},
author = {Zore, Ur\v{s}ka},
school = {Johannes Kepler University Linz},
language = {EN},
url={http://epub.jku.at/obvulihs/download/pdf/1273941},
year = {2016}
}
@article{Shahbazi2005,
title = "An explicit expression for the penalty parameter of the interior penalty method ",
journal = "Journal of Computational Physics ",
volume = "205",
number = "2",
pages = "401 - 407",
year = "2005",
issn = "0021-9991",
doi = "http://dx.doi.org/10.1016/j.jcp.2004.11.017",
url = "http://www.sciencedirect.com/science/article/pii/S0021999104004796",
author = "Khosro Shahbazi"
}
@phdthesis{Tielen2021PhD,
title = {P-multigrid methods for Isogeometric analysis},
keywords = {Isogeometric Analysis, p-multigrid, Multigrid Reduced in Time},
author = {R.P.W.M. Tielen},
year = {2021},
doi = {10.4233/uuid:8445e901-e31e-4602-8630-5b39a3de7ff6},
language = {English},
isbn = {978-94-6366-453-0},
school = {Delft University of Technology}
}
@article{TielenEtAl2020,
author = {R. Tielen and M. Möller and D. Göddeke and C. Vuik},
title = {p-multigrid methods and their comparison to h-multigrid methods within Isogeometric Analysis},
journal = {Computer Methods in Applied Mechanics and Engineering},
volume = {372},
pages = {113347},
year = {2020},
issn = {0045-7825},
doi = {https://doi.org/10.1016/j.cma.2020.113347},
url = {https://www.sciencedirect.com/science/article/pii/S0045782520305326},
keywords = {Isogeometric analysis, Multigrid methods, -multigrid, ILUT smoother}
}
@InProceedings{TielenEtAl2021,
author = {Tielen, Roel and Möller, Matthias and Vuik, Kees},
title = {A Direct Projection to Low-Order Level for p-Multigrid Methods in Isogeometric Analysis},
editor = {Vermolen, Fred J. and Vuik, Cornelis},
booktitle = {Numerical Mathematics and Advanced Applications {ENUMATH} 2019},
year = {2021},
publisher = {Springer International Publishing},
address = {Cham},
pages = {1001--1009},
isbn = {978-3-030-55874-1}
}