papers.bib

@phdthesis{Hofreither:PhD:2012,
  author = {C. Hofreither},
  title = {A Non-standard Finite Element Method using Boundary Integral Operators},
  school = {Johannes Kepler University, Institute of Computational Mathematics},
  year = {2012},
  type = {{PhD} Thesis},
  month = {December},
  url = {http://www.numa.uni-linz.ac.at/Teaching/PhD/Finished/hofreither}
}
@inproceedings{Hofreither:LSSC2009,
  title = {Boundary element simulation of linear water waves in a model basin},
  author = {Hofreither, C. and Langer, U. and Tomar, S.},
  editor = {Lirkov, I. and Margenov, S. and Wasniewski, J.},
  booktitle = {Large-Scale Scientific Computing: Proceedings of LSSC 2009},
  pages = {132--139},
  publisher = {Volume 5910 of Lecture Notes in Computer Science, Springer Verlag},
  year = {2010},
  doi = {10.1007/978-3-642-12535-5_14},
  report = {http://www.numa.uni-linz.ac.at/Publications/List/2009/2009-02.pdf}
}
@article{Hofreither:2011a,
  author = {C. Hofreither},
  title = {{$L_2$} Error Estimates for a Nonstandard Finite Element Method on Polyhedral Meshes},
  journal = {J. Numer. Math.},
  volume = {19},
  number = {1},
  pages = {27--39},
  year = {2011},
  doi = {10.1515/jnum.2011.002},
  report = {http://www.numa.uni-linz.ac.at/Publications/List/2010/2010-08.pdf}
}
@article{HofreitherLangerPechstein:2010a,
  author = {C. Hofreither and U. Langer  and C. Pechstein},
  title = {Analysis of a non-standard finite element method based on boundary integral operators},
  journal = {Electronic Transactions on Numerical Analysis},
  year = {2010},
  volume = {37},
  pages = {413--436},
  url = {http://etna.mcs.kent.edu/volumes/2001-2010/vol37/abstract.php?vol=37&pages=413-436},
  report = {http://www.numa.uni-linz.ac.at/Publications/List/2010/2010-04.pdf}
}
@inproceedings{HofreitherLangerPechstein:amitans2011,
  author = {C. Hofreither and U. Langer and C. Pechstein},
  editor = {M. D. Todorov and C. I. Christov},
  title = {A Non-standard Finite Element Method for Convection-Diffusion-Reaction Problems on Polyhedral Meshes},
  booktitle = {Proceedings of the Third Conference of the Euro-American Consortium for Promoting the Application of Mathematics in Technical and Natural Sciences},
  publisher = {AIP Conference Proceedings},
  year = {2011},
  volume = {1404},
  pages = {397--404},
  doi = {10.1063/1.3659943}
}
@inproceedings{HofreitherLangerPechstein:2012a,
  author = {Hofreither, C. and Langer, U. and Pechstein, C.},
  title = {A Non-standard Finite Element Method Based on Boundary Integral Operators},
  booktitle = {Large-Scale Scientific Computing},
  series = {Lecture Notes in Computer Science},
  editor = {Lirkov, I. and Margenov, S. and Wasniewski, J.},
  publisher = {Springer Berlin / Heidelberg},
  pages = {28--39},
  volume = {7116},
  doi = {10.1007/978-3-642-29843-1_3},
  year = {2012},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2011-12-31/view}
}
@incollection{HofreitherPechstein:2012a,
  author = {C. Hofreither and C. Pechstein},
  title = {A Rigorous Error Analysis of Coupled {FEM-BEM} Problems with Arbitrary Many Subdomains},
  booktitle = {Advanced Finite Element Methods and Applications},
  editor = {T. Apel and O. Steinbach},
  year = {2013},
  publisher = {Springer Berlin Heidelberg},
  series = {Lecture Notes in Applied and Computational Mechanics},
  volume = {66},
  pages = {109--132},
  isbn = {978-3-642-30315-9},
  doi = {10.1007/978-3-642-30316-6_5},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2012/2012-11.pdf}
}
@inproceedings{HofreitherLangerPechstein:2012b,
  author = {Hofreither, C. and Langer, U. and Pechstein, C.},
  title = {{FETI} solvers for non-standard finite element equations based on boundary integral operators},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXI},
  editor = {Erhel, J. and Gander, M. J. and Halpern, L. and Pichot, G. and Sassi, T. and Widlund, O.},
  series = {Lecture Notes in Computational Science and Engineering},
  volume = {98},
  pages = {729--737},
  publisher = {Springer},
  address = {Heidelberg, Berlin},
  year = {2014},
  doi = {10.1007/978-3-319-05789-7_70},
  isbn = {978-3-319-05788-0},
  report = {http://www.numa.uni-linz.ac.at/Publications/List/2012/2012-09.pdf}
}
@inproceedings{GHU:interpolation,
  title = {Interpolation of mixed type data by bivariate polynomials},
  author = {Georgieva, I. and Hofreither, C. and Uluchev, R.},
  booktitle = {Constructive Theory of Functions, Sozopol 2010: In memory of Borislav Bojanov},
  editor = {G.\ Nikolov and R.\ Uluchev},
  publisher = {Prof.\ Marin Drinov Academic Publishing House, Sofia},
  year = {2012},
  pages = {93--107},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2010-12-10/view}
}
@inproceedings{GH:CTF2013,
  title = {Cubature Rules for Harmonic Functions on the Disk Using Line Integrals over Two Sets of Equispaced Chords},
  author = {Georgieva, I. and Hofreither, C.},
  booktitle = {Constructive Theory of Functions, Sozopol 2013: Dedicated to Blagovest Sendov and Vasil Popov},
  editor = {K.\ Ivanov and G.\ Nikolov and R.\ Uluchev},
  pages = {81--93},
  publisher = {Prof.\ Marin Drinov Academic Publishing House, Sofia},
  year = {2014}
}
@article{GHKPT:2013,
  year = {2013},
  issn = {1895-1074},
  journal = {Central European Journal of Mathematics},
  volume = {11},
  number = {4},
  doi = {10.2478/s11533-012-0160-1},
  title = {Harmonic interpolation based on {Radon} projections along the sides of regular polygons},
  publisher = {SP Versita},
  author = {Georgieva, I. and Hofreither, C. and Koutschan, C. and Pillwein, V. and Thanatipanonda, T.},
  pages = {609--620},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2011-10-20/view}
}
@article{GH:2014b,
  author = {Georgieva, I. and Hofreither, C.},
  title = {Interpolation of harmonic functions based on {Radon} projections},
  journal = {Numerische Mathematik},
  year = {2014},
  issn = {0029-599X},
  volume = {127},
  number = {3},
  doi = {10.1007/s00211-013-0592-y},
  publisher = {Springer Berlin Heidelberg},
  pages = {423--445},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2012-10-17/view}
}
@article{GeorgievaHofreither:2012a,
  author = {I. Georgieva and C. Hofreither},
  editor = {Michail D. Todorov},
  title = {An algebraic method for reconstruction of harmonic functions via {Radon} projections},
  publisher = {AIP},
  year = {2012},
  journal = {AIP Conference Proceedings},
  volume = {1487},
  number = {1},
  pages = {112--119},
  doi = {10.1063/1.4758948},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2012-04-19/view}
}
@article{GH:2014a,
  author = {Georgieva, I. and Hofreither, C.},
  title = {Cubature rules for harmonic functions based on {Radon} projections},
  journal = {Calcolo},
  year = {2015},
  issn = {0008-0624},
  volume = {52},
  number = {2},
  doi = {10.1007/s10092-014-0111-2},
  publisher = {Springer Milan},
  pages = {153--166},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2013/2013-04.pdf}
}
@article{GH:2015a,
  author = {I. Georgieva and C. Hofreither},
  title = {Interpolating solutions of the {Poisson} equation in the disk based on {Radon} projections},
  journal = {Journal of Mathematical Analysis and Applications},
  volume = {423},
  number = {1},
  pages = {305--317},
  year = {2015},
  issn = {0022-247X},
  doi = {10.1016/j.jmaa.2014.09.031},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2014/2014-05.pdf}
}
@inproceedings{GHU:2014,
  year = {2014},
  isbn = {978-3-642-54381-4},
  booktitle = {Mathematical Methods for Curves and Surfaces},
  volume = {8177},
  series = {Lecture Notes in Computer Science},
  editor = {Floater, M. and Lyche, T. and Mazure, M.-L. and M{\o}rken, K. and Schumaker, L. L.},
  doi = {10.1007/978-3-642-54382-1_9},
  title = {Least Squares Fitting of Harmonic Functions Based on {Radon} Projections},
  publisher = {Springer Berlin Heidelberg},
  author = {Georgieva, I. and Hofreither, C. and Uluchev, R.},
  pages = {158--171},
  report = {https://www.dk-compmath.jku.at/publications/dk-reports/2012-11-12/view}
}
@inproceedings{GH:2011,
  author = {Georgieva, I. and Hofreither, C.},
  title = {Some Computational Aspects of Harmonic Interpolation Via {Radon} Projections},
  booktitle = {Proceedings of BG SIAM'11},
  pages = {44--49},
  issn = {1314-7161},
  year = {2011},
  url = {http://www.math.bas.bg/IMIdocs/BGSIAM/bgsiam_proc11.pdf}
}
@inproceedings{GHU:2014b,
  author = {Georgieva, I. and Hofreither, C. and Uluchev, R.},
  title = {Approximations Using {Radon} Projection Data in the Unit Disk},
  booktitle = {Proceedings of NumAn 2014 Conference -- Recent Approaches to Numerical Analysis: Theory, Methods and Applications},
  editor = {G. Akravis et al.},
  pages = {116--122},
  isbn = {978-960-8475-21-2},
  year = {2014}
}
@incollection{HofreitherZulehner:2014b,
  author = {Hofreither, C. and Zulehner, W.},
  title = {Mass Smoothers in Geometric Multigrid for Isogeometric Analysis},
  editor = {Boissonnat, J.-D. and Cohen, A. and Gibaru, O. and Gout, C. and Lyche, T. and Mazure, M.-L. and Schumaker, L. L.},
  year = {2015},
  isbn = {978-3-319-22803-7},
  booktitle = {Curves and Surfaces},
  series = {Lecture Notes in Computer Science},
  volume = {9213},
  pages = {272--279},
  publisher = {Springer International Publishing},
  doi = {10.1007/978-3-319-22804-4_20},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2014/2014-11.pdf}
}
@incollection{HofreitherZulehner:2014c,
  author = {Hofreither, C. and Zulehner, W.},
  title = {Spectral Analysis of Geometric Multigrid Methods for Isogeometric Analysis},
  year = {2015},
  isbn = {978-3-319-15584-5},
  booktitle = {Numerical Methods and Applications},
  volume = {8962},
  series = {Lecture Notes in Computer Science},
  editor = {Dimov, I. and Fidanova, S. and Lirkov, I.},
  doi = {10.1007/978-3-319-15585-2_14},
  publisher = {Springer International Publishing},
  pages = {123--129},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2014/2014-10.pdf}
}
@incollection{StoykovHofreitherMargenov:2015,
  author = {Stoykov, S. and Hofreither, C. and Margenov, S.},
  title = {Isogeometric Analysis for Nonlinear Dynamics of {Timoshenko} Beams},
  year = {2015},
  isbn = {978-3-319-15584-5},
  booktitle = {Numerical Methods and Applications},
  volume = {8962},
  series = {Lecture Notes in Computer Science},
  editor = {Dimov, I. and Fidanova, S. and Lirkov, I.},
  doi = {10.1007/978-3-319-15585-2_16},
  publisher = {Springer International Publishing},
  pages = {138--146},
  url = {http://www.numa.uni-linz.ac.at/~chofreither/pdf/iga-beams.pdf}
}
@article{HofreitherLangerPechstein:2015,
  author = {C. Hofreither and U. Langer and C. Pechstein},
  title = {{BEM}-based Finite Element Tearing and Interconnecting Methods},
  journal = {Electronic Transactions on Numerical Analysis},
  year = {2015},
  volume = {44},
  pages = {230--249},
  issn = {1068-9613},
  url = {http://etna.mcs.kent.edu/volumes/2011-2020/vol44/abstract.php?vol=44&pages=230-249},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2013/2013-03.pdf}
}
@article{HJKZ:2016,
  author = {C. Hofreither and B. J{\"u}ttler and G. Kiss and W. Zulehner},
  title = {Multigrid methods for isogeometric analysis with {THB}-Splines},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {308},
  pages = {96--112},
  year = {2016},
  issn = {0045-7825},
  doi = {10.1016/j.cma.2016.05.005},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2015/2015-08.pdf}
}
@article{ZAMM:ZAMM201500042,
  author = {Hofreither, C. and Langer, U. and Wei{\ss}er, S.},
  title = {Convection-adapted BEM-based FEM},
  journal = {ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift f{\"u}r Angewandte Mathematik und Mechanik},
  volume = {96},
  number = {12},
  pages = {1467--1481},
  year = {2016},
  issn = {1521-4001},
  doi = {10.1002/zamm.201500042}
}
@inproceedings{HofreitherZulehner:2014,
  author = {Hofreither, C. and Zulehner, W.},
  title = {On Full Multigrid Schemes for Isogeometric Analysis},
  editor = {Dickopf, T.  and Gander, J. M.  and Halpern, L.  and Krause, R.  and Pavarino, F. Luca},
  booktitle = {Domain Decomposition Methods in Science and Engineering XXII},
  year = {2016},
  publisher = {Springer International Publishing},
  pages = {267--274},
  isbn = {978-3-319-18827-0},
  doi = {10.1007/978-3-319-18827-0_25},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2014/2014-03.pdf}
}
@article{GH:2015b,
  author = {I. Georgieva and C. Hofreither},
  title = {New results on regularity and errors of harmonic interpolation using {Radon} projections},
  journal = {Journal of Computational and Applied Mathematics},
  volume = {293},
  pages = {73--81},
  year = {2016},
  note = {Efficient Numerical Methods for Large-scale Scientific Computations},
  issn = {0377-0427},
  doi = {10.1016/j.cam.2015.02.056}
}
@article{HT:2016,
  author = {C. Hofreither and S. Takacs},
  title = {Robust Multigrid for Isogeometric Analysis Based on Stable Splittings of Spline Spaces},
  journal = {SIAM Journal on Numerical Analysis},
  doi = {10.1137/16m1085425},
  year = {2017},
  publisher = {Society for Industrial {\&} Applied Mathematics ({SIAM})},
  volume = {55},
  number = {4},
  pages = {2004--2024},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2016/2016-02-r1.pdf}
}
@techreport{H:2017,
  author = {C. Hofreither},
  title = {A Black-Box Algorithm for Fast Matrix Assembly in Isogeometric Analysis},
  year = {2017},
  institution = {Institute of Computational Mathematics, JKU Linz},
  number = {2017-2},
  url = {http://www.numa.uni-linz.ac.at/publications/List/2017/2017-02.pdf}
}
@article{GH:2017,
  author = {I. Georgieva and C. Hofreither},
  title = {On best uniform approximation by low-rank matrices},
  journal = {Linear Algebra and its Applications},
  volume = {518},
  pages = {159--176},
  year = {2017},
  issn = {0024-3795},
  doi = {10.1016/j.laa.2016.12.034},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2016/2016-10.pdf}
}
@article{HTZ:2016,
  author = {C. Hofreither and S. Takacs and W. Zulehner},
  title = {A robust multigrid method for Isogeometric Analysis in two dimensions using boundary correction},
  journal = {Computer Methods in Applied Mechanics and Engineering},
  volume = {316},
  pages = {22--42},
  year = {2017},
  issn = {0045-7825},
  doi = {10.1016/j.cma.2016.04.003},
  note = {Special Issue on Isogeometric Analysis: Progress and Challenges},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2015/2015-10-r2.pdf}
}
@article{GeorgievaHofreither:2016,
  author = {I. Georgieva and C. Hofreither},
  title = {An algorithm for low-rank approximation of bivariate functions using splines},
  journal = {Journal of Computational and Applied Mathematics},
  volume = {310},
  pages = {80--91},
  year = {2017},
  issn = {0377-0427},
  doi = {10.1016/j.cam.2016.03.023},
  report = {http://www.numa.uni-linz.ac.at/publications/List/2015/2015-06.pdf}
}