@book {AmbFusPal,
    AUTHOR = {Ambrosio, Luigi and Fusco, Nicola and Pallara, Diego},
     TITLE = {Functions of {B}ounded {V}ariation and {F}ree {D}iscontinuity
              {P}roblems},
    SERIES = {Oxford Mathematical Monographs},
 PUBLISHER = {The Clarendon Press, Oxford University Press, New York},
      YEAR = {2000},
     PAGES = {xviii+434},
      ISBN = {0-19-850245-1},
   MRCLASS = {49-02 (49J45 49K10 49Qxx)},
  MRNUMBER = {1857292 (2003a:49002)},
MRREVIEWER = {J. E. Brothers},
}

@article{Bar2012,
  title={Total variation minimization with finite elements: convergence and iterative solution},
  author={Bartels, S{\"o}ren},
  journal={SIAM Journal on Numerical Analysis},
  volume={50},
  number={3},
  pages={1162--1180},
  year={2012},
  publisher={SIAM}
}

@article{Bar2013,
  title={Broken Sobolev space iteration for total variation regularized minimization problems},
  author={Bartels, S{\"o}ren},
  journal={IMA Journal of Numerical Analysis},
  pages={drv023},
  year={2015},
  publisher={Oxford University Press}
}


@article{Bar2015,
  title={Error control and adaptivity for a variational model problem defined on functions of bounded variation},
  author={Bartels, S{\"o}ren},
  journal={Mathematics of Computation},
  volume={84},
  number={293},
  pages={1217--1240},
  year={2015}
}

@book{BreSco,
  title={The {M}athematical {T}heory of {F}inite {E}lement {M}ethods},
  author={Brenner, Susanne C. and Scott, Ridgway},
  volume={15},
  year={2008},
  publisher={Springer Science \& Business Media}
}


@article{ChaPoc,
  title={A first-order primal-dual algorithm for convex problems with applications to imaging},
  author={Chambolle, Antonin and Pock, Thomas},
  journal={Journal of Mathematical Imaging and Vision},
  volume={40},
  number={1},
  pages={120--145},
  year={2011},
  publisher={Springer}
}

@article{HinRin,
  title={AN ADAPTIVE FINITE ELEMENT METHOD IN {$L^2$-TV}-BASED IMAGE DENOISING},
  author={Hinterm\"uller, Michael and Rincon-Camacho, Monserrat},
  journal={Inverse Problems and Imaging},
  volume={8},
  number={3},
  pages={685--711},
  year={2014},
  publisher={AMER INST MATHEMATICAL SCIENCES PO BOX 2604, SPRINGFIELD, MO 65801-2604 USA}
}


@article {HinLan2013,
    AUTHOR = {Hinterm{\"u}ller, Michael and Langer, Andreas},
     TITLE = {Subspace correction methods for a class of nonsmooth and
              nonadditive convex variational problems with mixed {$L^1/L^2$} data-fidelity in image processing},
   JOURNAL = {SIAM J. Imaging Sci.},
  FJOURNAL = {SIAM Journal on Imaging Sciences},
    VOLUME = {6},
      YEAR = {2013},
    NUMBER = {4},
     PAGES = {2134--2173},
      ISSN = {1936-4954},
   MRCLASS = {94A08 (49M27 65K10 68U10 90C25 90C90)},
  MRNUMBER = {3121758},
MRREVIEWER = {V. S. Sizikov},
       DOI = {10.1137/120894130},
       URL = {http://dx.doi.org/10.1137/120894130},
}

@article{Lan2016,
author={Langer, Andreas},
title ={Automated parameter selection in the {$L^1$-$L^2$-TV} Model for Removing {G}aussian plus impulse noise},
journal={preprint},
year={2016},
}


@book{Giu,
    AUTHOR = {Giusti, Enrico},
     TITLE = {Minimal {S}urfaces and {F}unctions of {B}ounded {V}ariation},
    SERIES = {Monographs in Mathematics},
    VOLUME = {80},
 PUBLISHER = {Birkh\"auser Verlag, Basel},
      YEAR = {1984},
     PAGES = {xii+240},
      ISBN = {0-8176-3153-4},
   MRCLASS = {58E12 (49F10 53A10)},
  MRNUMBER = {775682 (87a:58041)},
MRREVIEWER = {Helmut Kaul},
       DOI = {10.1007/978-1-4684-9486-0},
       URL = {http://dx.doi.org/10.1007/978-1-4684-9486-0},
}





@Article{AlDeKlNo16,
  Title                    = {The DUNE-ALUGrid Module.},
  Author                   = {Martin Alk{\"a}mper and Andreas Dedner and Robert Kl{\"o}fkorn and Martin Nolte},
  Journal                  = {Archive of Numerical Software},
  Year                     = {2016},
  Number                   = {1},
  Pages                    = {1--28},
  Volume                   = {4},

  Abstract                 = {In this paper we present the new DUNE-ALUGrid module. This modulecontains a major overhaul of the sources from the ALUGrid library and thebinding to the DUNE software framework. The main improvements concern theparallel feature set of the library. The main changes include user-defined loadbalancing, parallel grid construction, and an redesign of the 2d grid which can nowalso be used for parallel computations. In addition many improvementshave been introduced into the code to increase the parallel efficiency andto decrease the memory footprint. The original ALUGrid library is widely used within the DUNE community due to its good parallel performance for problems requiring local adaptivity and dynamic load balancing. Therefore, this new model will benefit a number of DUNE users. In addition we haveadded features to increase the range of problems for which the grid manager canbe used, for example, introducing a 3d tetrahedral grid using a parallel newest vertex bisection algorithm for conforming grid refinement. In this paper we will discuss the new features, extensions to the DUNE interface, and explain for various examples how the code is used in parallel environments.},
  Doi                      = {10.11588/ans.2016.1.23252},
  ISSN                     = {2197-8263},
  Keywords                 = {Numerical software, Adaptive-parallel grid, Load Balancing, DUNE},
  Url                      = {http://journals.ub.uni-heidelberg.de/index.php/ans/article/view/23252}
}

@Article{BaBlDeEnKlKoOhSa08,
  Title                    = {A generic grid interface for parallel and adaptive scientific computing. {II}. {I}mplementation and tests in {DUNE}},
  Author                   = {Bastian, P. and Blatt, M. and Dedner, A. and Engwer, C. and Kl{\"o}fkorn, R. and Kornhuber, R. and Ohlberger, M. and Sander, O.},
  Journal                  = {Computing},
  Year                     = {2008},
  Number                   = {2-3},
  Pages                    = {121--138},
  Volume                   = {82},

  Coden                    = {CMPTA2},
  Doi                      = {10.1007/s00607-008-0004-9},
  Fjournal                 = {Computing. Archives for Scientific Computing},
  ISSN                     = {0010-485X},
  Mrclass                  = {65Y05 (65N50 68U20)},
  Mrnumber                 = {2421580 (2009f:65307)}
}

@InProceedings{BaBlDeEnKlKuOhSa06,
  Title                    = {{The Distributed and Unified Numerics Environment (DUNE)}},
  Author                   = {Bastian, P. and Blatt, M. and Dedner, A. and Engwer, Ch. and Kl\"ofkorn, R. and Kuttanikkad, S.P. and {Ohl\-ber\-ger}, M. and Sander, O.},
  Booktitle                = {Proc. of the 19th Symposium on Simulation Technique in Hannover, Sep. 12 - 14},
  Year                     = {2006}
}

@Article{DeKlNoOh10,
  Title                    = {{A Generic Interface for Parallel and Adaptive Scientific Computing: Abstraction Principles and the DUNE-FEM Module}},
  Author                   = {Dedner, A. and Kl{\"o}fkorn, R. and Nolte, M. and Ohlberger, M.},
  Journal                  = {Computing},
  Year                     = {2010},
  Number                   = {3--4},
  Pages                    = {165--196},
  Volume                   = {90},

  Doi                      = {http://www.springerlink.com/content/vj103u6079861001/}
}

@article{Heine14,
  Title                    = {DUNE-ACFEM Documentation},
  Author                   = {Claus-Justus Heine},
  journal                      = {http://www.ians.uni-stuttgart.de/nmh/stage/documentation/software/dune-acfem/doxygen/},
  Year                     = {2014}
}


@article{CIMG,
  Title                    = {The CImg Library - C++ Template Image Processing Toolkit},
  Author                   = {David Tschumperl{\'e}},
  journal                      = {http://www.cimg.eu/reference/}
}

@article{LoggWells2010,
  author = {A. Logg and G. N. Wells},
  title = {{DOLFIN}: {A}utomated Finite Element Computing},
  journal = {ACM Transactions on Mathematical Software},
  year = {2010},
  volume = {32},
  pages = {1--28},
  number = {2},
  url = {http://dx.doi.org/10.1145/1731022.1731030}
}

@book{Newton1687,
  author = {I. Newton},
  title = {Philosophiae Naturalis Principia Mathematica},
  year = {1687},
  volume = {I--III},
}
