@Article{ Di-Pietro:2010,
author = {Di Pietro, D. A.},
title = {Cell-centered {G}alerkin methods},
journal = {C. R. Math. Acad. Sci.},
volume = {348},
number = {1--2},
year = {2010},
pages = {31--34}
}
@Article{ Eymard.Gallouet.ea:2009,
author = {Eymard, R. and Gallou\"{e}t, T. and Herbin, R.},
title = {Discretization of heterogeneous and anisotropic diffusion problems on general nonconforming meshes {SUSHI}: a scheme using stabilization and hybrid interfaces},
journal = {IMA J Numer Anal},
year = {2009},
misc = {\href{http://imajna.oxfordjournals.org/cgi/content/abstract/drn084v1}{doi:10.1093/imanum/drn084}}
}
@Article{ Agelas.Di-Pietro.ea:2010,
author = {Ag\'{e}las, L. and Di Pietro, D. A and Eymard, R. and Masson, R.},
title = {An abstract analysis framework for nonconforming
approximations of anisotropic heterogeneous diffusion},
journal = {IJFV},
volume = {7},
number = {1},
year = {2010}
}
@Misc{ Prudhomme.ea:2006,
author = {Christophe Prud'homme},
title = {A domain specific embedded language in {C++} for automatic differentiation, projection, integration and variational formulations},
howpublished = {Scientific Programming, 14(2):81-110},
year = {2006}
}
@Misc{ Prudhomme.ea:2007,
author = {Christophe Prud'homme},
title = {Life: {O}verview of a unified {C++} implementation of the finite and spectral element methods in 1d, 2d and 3d},
howpublished = {In Workshop On State-Of-The-Art In Scientific And Parallel Computing, Lecture Notes in Computer Science, page 10. Springer-Verlag},
year = {2007}
}
@Book{ canuto_hussaini_quarteroni_zang_2,
author = "Claudio Canuto and M. Yousuff Hussani and Alfio Quarteroni and Thomas A. Zang",
title = "Spectral Methods: Fundamentals in Single Domains",
publisher = "Springer-Verlag",
address = "New York and Berlin",
year = 2006,
isbn = "3-540-30725-7"
}
@Book{ sherwin_karniadakis,
author = "George Em Karniadakis and Spencer J. Sherwin",
title = "Spectral/hp element methods for computational fluid dynamics",
edition = "2nd ed.",
publisher = "Oxford Universtity Press",
address = "Oxford",
year = 2004,
isbn = "0-19-852869-8"
}
@MANUAL{hecht05:_freef_manual,
title = {FreeFEM++ Manual},
author = {Fr{\'e}d{\'e}ric Hecht and Olivier Pironneau},
organization = {Laboratoire Jacques Louis Lions},
year = {2005}
}
%%
%
% Autodiff
@INCOLLECTION
{ Aubert2001ETa,
author = "Pierre Aubert and Di C{\'e}sar{\'e}, Nicolas",
editor = "George Corliss and Christ{\`e}le Faure and Andreas Griewank and
Laurent Hasco{\"e}t and Uwe Naumann",
year = 2001,
title = "Expression Templates and Forward Mode Automatic Differentiation",
booktitle = "Automatic Differentiation of Algorithms: From Simulation to Optimization",
series = "Computer and Information Science",
number = "",
chapter = 37,
pages = "311--315",
note = "",
publisher = "Springer",
address = "New York, NY",
key = "Aubert2001ETa",
crossref = "Corliss2001ADo",
abstract = "This work deals with an implementation of automatic
differentiation of \cpp{} computer programs in forward mode using
operator overloading and expression templates. In conjunction
with a careful reuse of data, this technique also improves
performance of programs involving linear algebra computations
mixed or not with automatic differentiation. We give a broad view
of implementation and explain some important concepts regarding
code optimization. We conclude with some benchmarks applied to
our optimal control software.",
comment = "",
keywords = "",
referred = "",
isbn = "",
ad_theotech = "Implementation Strategies"
}
@ARTICLE
{ Aubert2000ADi,
author = "Pierre Aubert and Di C{\'e}sar{\'e}, Nicolas and Olivier
Pironneau",
month = "January",
year = 2001,
title = "Automatic Differentiation in {C++} using Expression Templates and
Application to a Flow Control Problem",
journal = "Computing and Visualisation in Sciences",
volume = "3",
number = "4",
pages = "197-208",
url = "http://pierre.aubert.free.fr/research/fad.ps",
key = "Aubert2000ADi",
referred = "[Aubert2001ETa].",
ad_area = "CFD",
ad_theotech = "Implementation Strategies"
}
%%
% software
% This file was created with JabRef 2.3.1.
% Encoding: UTF-8
@BOOK{abrahams04:_c_templ_metap,
title = {C++ Template Metaprogramming : Concepts, Tools, and Techniques from
Boost and Beyond},
publisher = {Addison-Wesley Professional},
year = {2004},
author = {David Abrahams and Aleksey Gurtovoy},
series = {C++ in Depth Series}
}
@BOOK{Alexandrescu2001,
title = {Modern C++ Design: Generic Programming and Design Patterns Applied},
publisher = {Addison Wesley},
year = {2001},
editor = {Bjarne Stroustrup},
author = {Andrei Alexandrescu},
series = {C++ In-Depth Series},
month = {June},
owner = {prudhomm},
timestamp = {2008.08.06}
}
@MISC{bagheri:_analy,
author = {Babak Bagheri and Ridgway Scott},
title = {Analysa},
howpublished = {http://people.cs.uchicago.edu/~ridg/al/aa.ps},
month = {2003}
}
@MISC{bailey:_c_fortr,
author = {David H. Bailey and Yozo Hida and Karthik Jeyabalan and Xiaoye S.
Li and Brandon Thompson},
title = {C++/Fortran-90 arbitrary precision package},
howpublished = {\url{http://crd.lbl.gov/~dhbailey/mpdist/}}
}
@Article{Hernandez:2005:SSF,
author = "Vicente Hernandez and Jose E. Roman and Vicente Vidal",
title = "{SLEPc}: A Scalable and Flexible Toolkit for the Solution of Eigenvalue Problems",
journal = "ACM Transactions on Mathematical Software",
volume = "31",
number = "3",
pages = "351--362",
year = "2005"
}
@TECHREPORT{petsc-user-ref,
author = {Satish Balay and Kris Buschelman and Victor Eijkhout and William
D. Gropp and Dinesh Kaushik and Matthew G. Knepley and Lois Curfman
McInnes and Barry F. Smith and Hong Zhang},
title = {{PETS}c Users Manual},
institution = {Argonne National Laboratory},
year = {2004},
number = {ANL-95/11 - Revision 2.1.5}
}
@MISC{petsc-web-page,
author = {Satish Balay and Kris Buschelman and William D. Gropp and Dinesh
Kaushik and Matthew G. Knepley and Lois Curfman McInnes and Barry
F. Smith and Hong Zhang},
title = {{PETSc} {W}eb page},
year = {2001},
note = {http://www.mcs.anl.gov/petsc}
}
@INPROCEEDINGS{petsc-efficient,
author = {Satish Balay and Victor Eijkhout and William D. Gropp and Lois Curfman
McInnes and Barry F. Smith},
title = {Efficient Management of Parallelism in Object Oriented Numerical
Software Libraries},
booktitle = {Modern Software Tools in Scientific Computing},
year = {1997},
editor = {E. Arge and A. M. Bruaset and H. P. Langtangen},
pages = {163--202},
publisher = {Birkh{\"{a}}user Press}
}
@MANUAL{BHK,
title = {{\tt deal.{I}{I}} Differential Equations Analysis Library, Technical
Reference},
author = {Wolfgang Bangerth and Ralf Hartmann and Guido Kanschat},
note = {\texttt{http://www.dealii.org}},
url = {http://www.dealii.org}
}
@MISC{cesare:_hatfem_une_manip_fonct_chapeaux,
author = {Nicolas Di C{\'e}sar{\'e} and Oliver Pironneau},
title = {HatFEM, Une Biblioth{\`e}que de Manipulation des Fonctions Chapeaux},
howpublished = {{\url{http://nicolas.dicesare.free.fr/Fac/R97033.ps.gz}} and {\url{http://www.ann.jussieu.fr/~pironneau/}}}
}
@MISC{dular:_getdp,
author = {Patrick Dular and Christophe Geuzaine},
title = {GetDP: a General Environment for the Treatment of Discrete Problems},
howpublished = {http://www.geuz.org/getdp}
}
@MANUAL{formaggia:_lifev_dev_manual,
title = {Life{V} Developer Manual},
author = {L. Formaggia and J.F. Gerbeau and C. Prud'homme},
organization = {The {L}ife{V} {P}roject},
note = {\url{http://www.lifev.org/documentation/lifev-dev.pdf}},
key = {lifev-dev}
}
@ARTICLE{1089021,
author = {Michael A. Heroux and Roscoe A. Bartlett and Vicki E. Howle and Robert
J. Hoekstra and Jonathan J. Hu and Tamara G. Kolda and Richard B.
Lehoucq and Kevin R. Long and Roger P. Pawlowski and Eric T. Phipps
and Andrew G. Salinger and Heidi K. Thornquist and Ray S. Tuminaro
and James M. Willenbring and Alan Williams and Kendall S. Stanley},
title = {An overview of the Trilinos project},
journal = {ACM Trans. Math. Softw.},
year = {2005},
volume = {31},
pages = {397--423},
number = {3},
abstract = {The Trilinos Project is an effort to facilitate the design, development,
integration and ongoing support of mathematical software libraries
within an object-oriented framework for the solution of large-scale,
complex multi-physics engineering and scienti c problems. Trilinos
addresses two fundamental issues of developing software for these
problems: (i) Providing a streamlined process and set of tools for
development of new algorithmic implementations and (ii) promoting
interoperability of independently developed software. \par Trilinos
uses a two-level software structure designed around collections of
packages. A Trilinos package is an integral unit usually developed
by a small team of experts in a particular algorithms area such as
algebraic preconditioners, nonlinear solvers, etc. Packages exist
underneath the Trilinos top level, which provides a common look-and-feel,
including configuration, documentation, licensing, and bug-tracking.
\par Here we present the overall Trilinos design, describing our
use of abstract interfaces and default concrete implementations.
We discuss the services that Trilinos provides to a prospective package
and how these services are used by various packages. We also illustrate
how packages can be combined to rapidly develop new algorithms. Finally,
we discuss how Trilinos facilitates highquality software engineering
practices that are increasingly required from simulation software.},
address = {New York, NY, USA},
doi = {http://doi.acm.org/10.1145/1089014.1089021},
issn = {0098-3500},
publisher = {ACM Press}
}
@TECHREPORT{Trilinos-Users-Guide,
author = {Michael A. Heroux and James M. Willenbring},
title = {{Trilinos Users Guide}},
institution = {Sandia National Laboratories},
year = {2003},
number = {SAND2003-2952}
}
@TECHREPORT{Trilinos-Dev-Guide,
author = {Michael A. Heroux and James M. Willenbring and Robert Heaphy},
title = {{Trilinos Developers Guide}},
institution = {Sandia National Laboratories},
year = {2003},
number = {SAND2003-1898}
}
@TECHREPORT{Trilinos-Dev-Guide-II,
author = {Michael A. Heroux and James M. Willenbring and Robert Heaphy},
title = {{Trilinos Developers Guide Part II: ASCI Software Quality Engineering
Practices Version 1.0}},
institution = {Sandia National Laboratories},
year = {2003},
number = {SAND2003-1899}
}
@TECHREPORT{Trilinos-Overview,
author = {Michael Heroux and Roscoe Bartlett and Vicki Howle Robert Hoekstra
and Jonathan Hu and Tamara Kolda and Richard Lehoucq and Kevin Long
and Roger Pawlowski and Eric Phipps and Andrew Salinger and Heidi
Thornquist and Ray Tuminaro and James Willenbring and Alan Williams
},
title = {{An Overview of Trilinos}},
institution = {Sandia National Laboratories},
year = {2003},
number = {SAND2003-2927}
}
@TECHREPORT{hida00:_quad_doubl_arith,
author = {Yozo Hida and Xiaoye S. Li and David H. Bailey},
title = {Quad-Double Arithmetic: Algorithms, Implementation, and Application},
institution = {Lawrence Berkeley National Laboratory},
year = {2000},
number = {LBNL-46996},
address = {Berkeley, CA 9472},
month = {Oct.},
note = {\url{http://crd.lbl.gov/~dhbailey/mpdist/}}
}
@MISC{karvonen:_boost_librar_prepr_subset_c_c,
author = {Vesa Karvonen and Paul Mensonides},
title = {The Boost Library Preprocessor Subset for C/C++},
howpublished = {\url{http://www.boost.org/libs/preprocessor/doc/}}
}
@TECHREPORT{george96parallel,
author = {Karypis, George and Kumar, Vipin},
title = {{P}arallel {M}ultilevel k-way {P}artitioning {S}chemes for {I}rregular
{G}raphs},
year = {1996},
number = {036},
address = {Minneapolis, MN 55454},
month = {May},
url = {citeseer.ist.psu.edu/karypis96parallel.html}
}
@misc{dunefem-web-page,
author = {Dedner, A. and Kl{\"o}fkorn, R. and Nolte, M. and Ohlberger, M.},
title = {{DUNE-FEM} {W}eb page},
note = {http://dune.mathematik.uni-freiburg.de},
year = {2011}
}
@MISC{logg05:_fenic,
author = {A. Logg and J. Hoffman and R.C. Kirby and J. Jansson},
title = {Fenics},
howpublished = {{\url{http://www.fenics.org/}}},
year = {2005}
}
@MISC{long:_sundan,
author = {Kevin Long},
title = {Sundance: Rapid Development of High-Performance Parallel Finite-Element
Solutions of Partial Differential Equations},
howpublished = {http://software.sandia.gov/sundance/}
}
@ARTICLE{pietro05:_expres_templ_implem_contin_discon_galer_method,
author = {Daniele A. Di Pietro and Alessandro Veneziani},
title = {Expression Templates Implementation of Continuous and Discontinuous
Galerkin Methods},
journal = {Submitted to Computing and Visualization in Science},
year = {2005}
}
@MANUAL{pino05:_freef_manual,
title = {FreeFEM3D Manual},
author = {St{\'e}phane Del Pino and Olivier Pironneau},
organization = {Laboratoire Jacques Louis Lions},
year = {2005}
}
@MISC{renard:_getfem,
author = {Yves Renard and Julien Pommier},
title = {GetFEM++: Generic and Efficient C++ Library for Finite Element Methods
Elementary Computations},
howpublished = {http://www-gmm.insa-toulouse.fr/getfem/}
}
@MANUAL{renard05:_getfem,
title = {Getfem++},
author = {Yves Renard and Julien Pommier},
organization = {Department of Mathematics of INSA Toulouse and MIP laboratory.},
year = {2005},
note = {{\url{http://www-gmm.insa-toulouse.fr/getfem/}}}
}
@TECHREPORT{Trilinos-Tutorial,
author = {Marzio Sala and Michael A. Heroux and David M. Day},
title = {{Trilinos Tutorial}},
institution = {Sandia National Laboratories},
year = {2004},
number = {SAND2004-2189}
}
@UNPUBLISHED{rheolef-home-page,
author = {Pierre Saramito and Nicolas Roquet and Jocelyn Etienne},
title = {Rheolef home page},
note = {{\url{http://www-lmc.imag.fr/lmc-edp/Pierre.Saramito/rheolef/}}},
year = {2002}
}
@TECHREPORT{rheolef-refman,
author = {Pierre Saramito and Nicolas Roquet and Jocelyn Etienne},
title = {Rheolef reference manual},
institution = {LMC-IMAG},
year = {2002},
note = {{\url{http://www-lmc.imag.fr/lmc-edp/Pierre.Saramito/rheolef/rheolef.ps.gz}}}
}
@BOOK{rheolef-usrman,
title = {Rheolef users manual},
publisher = {LMC-IMAG},
year = {2002},
author = {Pierre Saramito and Nicolas Roquet and Jocelyn Etienne},
note = {{\url{http://www-lmc.imag.fr/lmc-edp/Pierre.Saramito/rheolef/usrman.ps.gz}}}
}
@MISC{veldhuizen05:_softw_librar_limit_reuse,
author = {Todd Veldhuizen},
title = {Software Libraries and the Limits of Reuse: Entropy, Kolmogorov Complexity,
and Zipf's Law},
howpublished = {{\url{http://www.livejournal.com/users/endoprogramming/1257.html}}},
month = {August},
year = {2005}
}
@ARTICLE{Veldhuizen95a,
author = {Todd Veldhuizen},
title = {Using {C++} template metaprograms},
journal = {C++ Report},
year = {1995},
volume = {7},
pages = {36--43},
number = {4},
month = may,
note = {Reprinted in C++ Gems, ed. Stanley Lippman},
abstract = {Template metaprograms can generate useful code when interpreted by
the compiler, which results in large speed increases for many applications.
A simple example that generates factorials at compile time is presented.
Although this technique might seem like just a cute C++ trick, it
becomes powerful when combined with normal C++ code. In this hybrid
approach, source code contains two programs: the normal C++ runtime
program, and a template metaprogram that runs at compile time. Template
metaprograms can generate useful code when interpreted by the compiler,
such as a massively inlined algorithm-that is, an implementation
of an algorithm that works for a specific input size, and has its
loops unrolled. This results in large speed increases for many applications.
The article presents a simple template metaprogram that generates
a bubble sort algorithm and its performance is analysed.},
acknowledgement = {#ack-nhfb#},
affiliation = {Waterloo Univ., Ont., Canada},
bibdate = {Tue Mar 25 13:34:48 MST 1997},
classcodes = {C6110J (Object-oriented programming); C6140D (High level languages);
C6150C (Compilers, interpreters and other processors)},
classification = {C6110J (Object-oriented programming); C6140D (High level languages);
C6150C (Compilers, interpreters and other processors)},
coden = {CRPTE7},
corpsource = {Waterloo Univ., Ont., Canada},
issn = {1040-6042},
keywords = {algorithm; bubble sort; Bubble sort algorithm; C language; C++; C++
runtime program; C++ template metaprograms; Compiler interpretation;
compiler interpretation; Factorials; factorials; Hybrid approach;
hybrid approach; increases; Massively inlined algorithm; massively
inlined algorithm; Normal C++ code; normal C++ code; object-oriented;
object-oriented languages; program compilers; program interpreters;
programming; runtime program; speed; Speed increases},
thesaurus = {C language; Object-oriented languages; Object-oriented programming;
Program compilers; Program interpreters},
treatment = {P Practical}
}
@INPROCEEDINGS{veldhuizen98:_activ_librar,
author = {Todd L. Veldhuizen and Dennis Gannon},
title = {Active Libraries: Rethinking the roles of compilers and libraries},
booktitle = {Proceedings of the SIAM Workshop on Object Oriented Methods for Inter-operable
Scientific and Engineering Computing (OO'98)},
year = {1998},
publisher = {SIAM Press},
conflocation = {Yorktown Heights, New York},
conftitle = {SIAM Workshop on Object Oriented Methods for Inter-operable Scientific
and Engineering Computing}
}
@MISC{lifev,
title = {LifeV: a Finite Element Library},
howpublished = {http://www.lifev.org}
}
%%
%% OOA OOD
%%
@Book{the-gang-of-four,
author = {E. Gamma and R. Helm and R. Johnson and J. Vlissides},
editor = {Addison {W}esley},
title = {{D}esign {P}atterns},
publisher = {Addison {W}esley},
year = 1995,
series = {Addison {W}esley {P}rofessional {C}omputing {S}eries}
}
%%
% Kirby
@article{1268771,
author = {Kirby, Robert C. and Logg, Anders},
title = {Efficient compilation of a class of variational forms},
journal = {ACM Trans. Math. Softw.},
volume = {33},
number = {3},
year = {2007},
issn = {0098-3500},
pages = {17},
doi = {http://doi.acm.org/10.1145/1268769.1268771},
publisher = {ACM},
address = {New York, NY, USA}
}
@article{1163644,
author = {Kirby, Robert C. and Logg, Anders},
title = {A compiler for variational forms},
journal = {ACM Trans. Math. Softw.},
volume = {32},
number = {3},
year = {2006},
issn = {0098-3500},
pages = {417--444},
doi = {http://doi.acm.org/10.1145/1163641.1163644},
publisher = {ACM},
address = {New York, NY, USA}
}
@article{1377614,
author = {Kirby, Robert C. and Logg, Anders},
title = {Benchmarking Domain-Specific Compiler Optimizations for Variational Forms},
journal = {ACM Trans. Math. Softw.},
volume = {35},
number = {2},
year = {2008},
issn = {0098-3500},
pages = {1--18},
doi = {http://doi.acm.org/10.1145/1377612.1377614},
publisher = {ACM},
address = {New York, NY, USA}
}
@article{1644006,
author = {Kirby, Robert C.},
title = {Singularity-free evaluation of collapsed-coordinate orthogonal polynomials},
journal = {ACM Trans. Math. Softw.},
volume = {37},
number = {1},
year = {2010},
issn = {0098-3500},
pages = {1--16},
doi = {http://doi.acm.org/10.1145/1644001.1644006},
publisher = {ACM},
address = {New York, NY, USA}
}
@article{1141889,
author = {Kirby, Robert C.},
title = {Optimizing FIAT with level 3 BLAS},
journal = {ACM Trans. Math. Softw.},
volume = {32},
number = {2},
year = {2006},
issn = {0098-3500},
pages = {223--235},
doi = {http://doi.acm.org/10.1145/1141885.1141889},
publisher = {ACM},
address = {New York, NY, USA}
}
@article{1039820,
author = {Kirby, Robert C.},
title = {Algorithm 839: FIAT, a new paradigm for computing finite element basis functions},
journal = {ACM Trans. Math. Softw.},
volume = {30},
number = {4},
year = {2004},
issn = {0098-3500},
pages = {502--516},
doi = {http://doi.acm.org/10.1145/1039813.1039820},
publisher = {ACM},
address = {New York, NY, USA}
}
@Article{warburton06,
author = {T. Warburton},
title = {An explicit construction of interpolation nodes on the simplex},
journal = {Journal of Engineering Mathematics},
year = 2006,
doi={DOI-10.1007/s10665-006-9086-6},
link={http://www.springerlink.com/content/8V3N86G45840744L},
volume = 56,
number = 3,
pages = {247-262},
month = 11}
%%
%% Karnyadakis, sherwin
@book {MR1696933,
AUTHOR = {Karniadakis, George Em and Sherwin, Spencer J.},
TITLE = {Spectral/{$hp$} element methods for {CFD}},
SERIES = {Numerical Mathematics and Scientific Computation},
PUBLISHER = {Oxford University Press},
ADDRESS = {New York},
YEAR = {2005},
MRCLASS = {76M10 (65M70 76M22)}
}
@Article{Gmsh,
author = {C. Geuzaine and J.-F. Remacle},
title = {Gmsh: a three-dimensional finite element mesh generator with built-in pre- and post-processing facilities},
journal = {International Journal for Numerical Methods in Engineering},
year = {2009},
volume = {79},
number = {11},
pages = {1309-1331}
}
@Article{gpena_cprudhomme_acomen,
author = {G. Pena and C. Prud'homme},
title = {Construction of a high order fluid–structure interaction solver},
journal = {Journal of Computational and Applied Mathematics},
year = {2010},
volume = {234},
number = {7},
pages = {2358-2365},
month = {August}
}
@Article{gpena_cprudhomme_aquarteroni,
author = {G. Pena and C. Prud'homme and A. Quarteroni},
title = {High order methods for the approximation of the incompressible Navier–Stokes equations in a moving domain},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2011},
volume = {209-212},
pages = {197-211},
month = {February}
}
@PhdThesis{gpena,
AUTHOR = {G. Pena},
TITLE = {{S}pectral {E}lement {A}pproximation of the incompressible {N}avier-{S}tokes equations evolving in a moving domain and applications},
NOTE = {PhD Thesis, \'{E}cole Polytechnique F\'{e}d\'{e}rale de Lausanne},
year = {2009},
source = {EPFL},
institution = {EPFL-IACS}
}
@Article{acomen2011_ale,
author = {V. Chabannes and C. Prud'homme and G. Pena},
title = {High order fluid structure interaction in 2{D} and 3{D}: Application to
blood flow in arteries},
journal = {Journal of Computational and Applied Mathematics (Accepted)},
year = {2012},
note = {}
}
@ARTICLE{acomen2011_levelset,
author = {Doyeux, V. and Chabannes, V. and Prud'homme, C. and Ismail, M.},
title = {Simulation of two fluid flow using a level set method
Application to bubbles and vesicle dynamics},
journal = {Journal of Computational and Applied Mathematics (Accepted)},
year = {2012},
owner = {vinch},
timestamp = {2012.01.11}
}
@article{maury:2001,
title={A fat boundary method for the Poisson problem in a domain with holes},
author={Maury, B.},
journal={Journal of scientific computing},
volume={16},
number={3},
pages={319--339},
year={2001},
publisher={Springer}
}
@article{bertoluzza2005fat,
title={The fat boundary method: semi-discrete scheme and some numerical experiments},
author={Bertoluzza, S. and Ismail, M. and Maury, B.},
journal={Domain decomposition methods in science and engineering},
pages={513--520},
year={2005},
publisher={Springer}
}
@article{nmBMI:11,
title={Analysis of the fully discrete fat boundary method},
author={Bertoluzza, S. and Ismail, M. and Maury, B.},
journal={Numerische Mathematik},
volume={118},
number ={1},
pages={49--77},
year={2011},
publisher={Springer}
}
@PhdThesis{ismail:2004,
author = {Ismail, M.},
title = {M{\'e}thode de la fronti{\`e}re {\'e}largie pour la r{\'e}solution de probl{\`e}mes elliptiques dans des domaines perfor{\'e}s. Application aux {\'e}coulements fluides tridimensionnels},
school = {Universit{\'e} Pierre et Marie Curie, Paris, France},
year = {2004}
}
@article{glowinski1994fictitious,
title={A fictitious domain method for Dirichlet problem and applications},
author={Glowinski, R. and Pan, T.W. and Periaux, J.},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={111},
number={3-4},
pages={283--303},
year={1994},
publisher={Elsevier}
}
@article{ramiere2008convergence,
title={Convergence analysis of the Q1-finite element method for elliptic problems with non-boundary-fitted meshes},
author={Ramiere, I.},
journal={International Journal for Numerical Methods in Engineering},
volume={75},
number={9},
pages={1007--1052},
year={2008},
publisher={Wiley Online Library}
}
@article{girault1995error,
title={Error analysis of a fictitious domain method applied to a Dirichlet problem},
author={Girault, V. and Glowinski, R.},
journal={Japan Journal of Industrial and Applied Mathematics},
volume={12},
number={3},
pages={487--514},
year={1995},
publisher={Springer}
}
@article{vos2008comparison,
title={A comparison of fictitious domain methods appropriate for spectral/hp element discretisations},
author={Vos, PEJ and van Loon, R. and Sherwin, SJ},
journal={Computer Methods in Applied Mechanics and Engineering},
volume={197},
number={25},
pages={2275--2289},
year={2008},
publisher={Elsevier}
}
@article{glowinski1992error,
title={Error estimates for fictitious domain/penalty/finite element methods},
author={Glowinski, R. and Pan, T.W.},
journal={Calcolo},
volume={29},
number={1},
pages={125--141},
year={1992},
publisher={Springer}
}
@article{maury2008numerical,
title={Numerical analysis of a finite element/volume penalty method},
author={Maury, B.},
journal={Partial Differential Equations},
pages={167--185},
year={2008},
publisher={Springer}
}
%% hal-00654406, version 1
%% http://hal.archives-ouvertes.fr/hal-00654406
@article{DIPIETRO:2011:HAL-00654406:1,
hal_id = {hal-00654406},
url = {http://hal.archives-ouvertes.fr/hal-00654406},
title = {{A domain-specific embedded language in C++ for lowest-order discretizations of diffusive problems on general meshes}},
author = {Di Pietro, Daniele Antonio and Gratien, Jean-Marc and Prud'Homme, Christophe},
abstract = {{In this work we propose an original implementation of a large family of lowest-order methods for diffusive problems including standard and hybrid finite volume methods, mimetic finite difference-type schemes, and cell centered Galerkin methods. The key idea is to regard the method at hand as a (Petrov-)Galerkin scheme based on possibly incomplete, broken affine spaces defined from a gradient reconstruction and a point value. The resulting unified framework serves as a basis for the development of a FreeFEM-like domain specific embedded language targeted at defining discrete linear and bilinear forms. Both the back-end and the front-end of the language are extensively discussed, and several examples of applications are provided. The overhead of the language is evaluated by comparing with a more traditional implementation. A benchmark including the comparison with more classical finite element methods on standard meshes is also proposed.}},
keywords = {domain specific embedded language ; finite volume methods ; cell centered Galerkin methods ; Petrov-Galerkin methods},
language = {Anglais},
affiliation = {IFP Energies Nouvelles - IFPEN , Laboratoire Jean Kuntzmann - LJK},
year = {2012},
pdf = {http://hal.archives-ouvertes.fr/hal-00654406/PDF/fvdsel.pdf},
journal={BIT Numerical Mathematics},
publisher={Springer},
note={Accepted}
}
@Misc{boost_c_librar,
title = {Boost C++ Libraries},
howpublished = {http://www.boost.org}}
@book{Ciarlet:2002:FEM:581834,
author = {Ciarlet, Philippe G.},
title = {Finite Element Method for Elliptic Problems},
year = {2002},
isbn = {0898715148},
publisher = {Society for Industrial and Applied Mathematics},
address = {Philadelphia, PA, USA},
}
