feti.bib

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@article{brzobohaty2011cholesky,
  title={Cholesky decomposition with fixing nodes to stable computation of a generalized inverse of the stiffness matrix of a floating structure},
  author={Brzobohat{\'{y}}, Tom{\'{a}}{\v{s}} and Dost{\'{a}}l, Zdenek and Kozubek, Tom{\'{a}}{\v{s}} and Kov{\'{a}}{\v{r}}, Petr and Markopoulos, Alexandros},
  journal={International journal for numerical methods in engineering},
  volume={88},
  number={5},
  pages={493--509},
  year={2011},
  publisher={Wiley Online Library}
}

@article{dostal2000cholesky,
  title={Cholesky factorization and a generalized inverse of the stiffness matrix of a floating structure with known null space},
  author={Dost{\'{a}}l, Z and Kozubek, T and Markopoulos, A and Men{\v{s}}{\'{i}}k, M},
  journal={International Journal for Numerical Methods in Engineering},
  pages={1--6},
  year={2000}
}

@InProceedings{vriha2016massively,
  Title                    = {Massively Parallel Hybrid Total FETI (HTFETI) Solver},
  Author                   = {{\v{R}}{\'{i}}ha, Lubom{\'{i}}r and Brzobohat{\'{y}}, Tom{\'{a}}{\v{s}} and Markopoulos, Alexandros and Meca, Ond{\v{r}}ej and Kozubek, Tom{\'{a}}{\v{s}}},
  Booktitle                = {Proceedings of the Platform for Advanced Scientific Computing Conference},
  Year                     = {2016},
  Organization             = {ACM},
  Pages                    = {7}
}

@Article{tfeti,
  Title                    = {Total FETI—an easier implementable variant of the FETI method for numerical solution of elliptic PDE},
  Author                   = {Dost{\'a}l, Zden{\v{e}}k and Hor{\'a}k, David and Ku{\v{c}}era, Radek},
  Journal                  = {International Journal for Numerical Methods in Biomedical Engineering},
  Year                     = {2006},
  Number                   = {12},
  Pages                    = {1155--1162},
  Volume                   = {22},

  Publisher                = {Wiley Online Library}
}

@Article{fetidpDostal,
  Title                    = {A scalable FETI-DP algorithm for a coercive variational inequality},
  Author                   = {Dost{\'a}l, Zden{\v{e}}k and Hor{\'a}k, David and Stefanica, Dan},
  Journal                  = {Applied numerical mathematics},
  Year                     = {2005},
  Number                   = {3-4},
  Pages                    = {378--390},
  Volume                   = {54},

  Publisher                = {Elsevier}
}

@Article{feti1optimal2,
  Title                    = {On the general solution by a direct method of a large-scale singular system of linear equations: application to the analysis of floating structures},
  Author                   = {Farhat, Charbel and G{\'e}radin, Michel},
  Journal                  = {International Journal for Numerical Methods in Engineering},
  Year                     = {1998},
  Number                   = {4},
  Pages                    = {675--696},
  Volume                   = {41},

  Publisher                = {Wiley Online Library}
}

@Article{fetidp,
  Title                    = {FETI-DP: a dual--primal unified FETI method—part I: A faster alternative to the two-level FETI method},
  Author                   = {Farhat, Charbel and Lesoinne, Michel and LeTallec, Patrick and Pierson, Kendall and Rixen, Daniel},
  Journal                  = {International journal for numerical methods in engineering},
  Year                     = {2001},
  Number                   = {7},
  Pages                    = {1523--1544},
  Volume                   = {50},

  Publisher                = {Wiley Online Library}
}

@Article{feti1optimal,
  Title                    = {Optimal convergence properties of the FETI domain decomposition method},
  Author                   = {Farhat, Charbel and Mandel, Jan and Roux, Francois Xavier},
  Journal                  = {Computer methods in applied mechanics and engineering},
  Year                     = {1994},
  Number                   = {3-4},
  Pages                    = {365--385},
  Volume                   = {115},

  Publisher                = {Elsevier}
}

@Article{feti1,
  Title                    = {An unconventional domain decomposition method for an efficient parallel solution of large-scale finite element systems},
  Author                   = {Farhat, Charbel and Roux, Francois-Xavier},
  Journal                  = {SIAM Journal on Scientific and Statistical Computing},
  Year                     = {1992},
  Number                   = {1},
  Pages                    = {379--396},
  Volume                   = {13},

  Publisher                = {SIAM}
}

@MastersThesis{sojkaMasterThesis,
  Title                    = {The hybrid parallelization of
TFETI-1 method},
  Author                   = {Radim Sojka},
  School                   = {VŠB - Technical University of Ostrava},
  Year                     = {2015},

  Url                      = {http://am.vsb.cz/export/sites/am/cs/theses/mgr/2015/SOJ0018.pdf},
  Urldate                  = {2017-04-13}
}

@book{bertsekas1999nonlinear,
  title={Nonlinear programming},
  author={Bertsekas, Dimitri P}
}

@article{vriha2017hybrid,
  title={Hybrid parallelization of the total FETI solver},
  author={{\v{R}}{\'{i}}ha, Lubom{\'{i}}r and Brzobohat{\'{y}}, Tom{\'{a}}{\v{s}} and Markopoulos, Alexandros},
  journal={Advances in Engineering Software},
  volume={103},
  pages={29--37},
  year={2017},
  publisher={Elsevier}
}

@phdthesis{lee2009hybrid,
  title={A Hybrid Domain Decomposition Method and its Applications to Contact Problems TR2009-924},
  author={Lee, Jungho},
  year={2009},
  school={New York University}
}

@inproceedings{htfeti,
  title={Hybrid Total FETI method},
  author={Jaro{\v{s}}ov{\'{a}}, M and Kozubek, T and Men{\v{s}}{\'{i}}k, M and Markopoulos, A},
  year={2012},
  organization={ECCOMAS}
}