BibTeXΒΆ
@UNPUBLISHED{alnaes:2012,
title = {{U}nified {F}orm {L}anguage: {A} domain-specific language
for weak formulations of partial differential equations},
author = {M. S. Aln{\ae}s and A. Logg and K. B. {\O}lgaard and M. E. Rognes
and G. N. Wells},
year = {2012},
arxiv = {1211.4047},
url = {http://arxiv.org/abs/1211.4047},
}
@BOOK{fenics:book,
title = {Automated Solution of Differential Equations by the Finite
Element Method},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
publisher = {Springer},
doi = {10.1007/978-3-642-23099-8},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8},
}
@INCOLLECTION{fenics:assembly:book,
author = {A. Logg and K.-A. Mardal and G. N. Wells},
title = {Finite Element Assembly},
booktitle = {Automated Solution of Differential Equations by the
Finite Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {6},
pages = {141--146},
doi = {10.1007/978-3-642-23099-8_6},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_6},
}
@INCOLLECTION{fenics:quad:book,
author = {K. B. {\O}lgaard and G. N. Wells},
title = {Quadrature representation of finite element variational forms},
booktitle = {Automated Solution of Differential Equations by the
Finite Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2011},
chapter = {7},
pages = {147--158},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
doi = {10.1007/978-3-642-23099-8_7},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_7},
}
@INCOLLECTION{fenics:dolfin:book,
author = {A. Logg and G. N. Wells and J. Hake},
title = {{DOLFIN}: A {C}++/{P}ython Finite Element Library},
booktitle = {Automated Solution of Differential Equations by the Finite
Element Method},
publisher = {Springer},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2011},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {10},
pages = {173--225},
doi = {10.1007/978-3-642-23099-8_10},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_10},
}
@INCOLLECTION{fenics:ffc:book,
author = {A.Logg and K. B. {\O}lgaard and M. E. Rognes and G. N. Wells},
title = {{FFC}: the FEniCS Form Compiler},
booktitle = {Automated Solution of Differential Equations by the Finite
Element Method},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
publisher = {Springer},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {11},
pages = {227--238},
doi = {10.1007/978-3-642-23099-8_11},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_11},
}
@INCOLLECTION{fenics:incomp:book,
author = {A. R. Terrel and L. R. Scott and M. G. Knepley and R. C. Kirby
and G. N. Wells},
title = {Finite elements for incompressible fluids},
booktitle = {Automated Solution of Differential Equations by the Finite
Element Method},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
publisher = {Springer},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {20},
pages = {385--397},
doi = {10.1007/978-3-642-23099-8_20},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_20},
}
@INCOLLECTION{fenics:solids:book,
author = {K. B. {\O}lgaard and G. N. Wells},
title = {Applications in solid mechanics},
booktitle = {Automated Solution of Differential Equations by the Finite
Element Method},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
publisher = {Springer},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {26},
pages = {505--524},
doi = {10.1007/978-3-642-23099-8_26},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_26},
}
@INCOLLECTION{fenics:discont:book,
author = {M. Nikbakht and G. N. Wells},
title = {Modelling evolving discontinuities},
booktitle = {Automated Solution of Differential Equations by the Finite
Element Method},
series = {Lecture Notes in Computational Science and Engineering},
volume = {84},
year = {2012},
publisher = {Springer},
editor = {A. Logg and K.-A. Mardal and G. N. Wells},
chapter = {30},
pages = {571--583},
doi = {10.1007/978-3-642-23099-8_30},
url = {http://dx.doi.org/10.1007/978-3-642-23099-8_30},
}
@ARTICLE{rosseel:2012,
author = {E. Rosseel and G. N. Wells},
title = {Optimal control with stochastic {PDE} constraints and
uncertain controls},
journal = {Comput Methods Appl Mech Engrg},
volume = {213--216},
pages = {152--167},
year = {2012},
doi = {10.1016/j.cma.2011.11.026},
url = {http://dx.doi.org/10.1016/j.cma.2011.11.026},
arxiv = {1107.3944},
}
@UNPUBLISHED{labeur:2012,
author = {R. J. Labeur and G. N. Wells},
title = {Energy stable and momentum conserving hybrid finite element
method for the incompressible {N}avier--{S}tokes equations},
year = {2012},
journal = {SIAM J Sci Comput},
volume = {34},
number = {2},
pages = {A889--A913},
doi = {10.1137/100818583}.
url = {http://dx.doi.org/10.1137/100818583},
arxiv = {1012.3722}
}
@ARTICLE{mortensen:2011,
author = {M. Mortensen and H. P. Langtangen and G. N. Wells},
title = {A {FEniCS}-Based Programming Framework for Modeling Turbulent
Flow by the {R}eynolds-Averaged {N}avier--{S}tokes Equations},
journal = {Adv Water Res},
year = {2011},
volume = {34},
number = {9},
pages = {1082--1101},
doi = {j.advwatres.2011.02.013},
url = {http://dx.doi.org/j.advwatres.2011.02.013},
arxiv = {1102.2933}
}
@ARTICLE{maraldi:2011,
author = {M. Maraldi and G. N. Wells and L. Molari},
title = {Phase field model for coupled displacive and diffusive
microstructural processes under thermal loading},
journal = {J Mech Phys Solids},
year = {2011},
volume = {59},
number = {8},
pages = {1596--1612},
doi = {10.1016/j.jmps.2011.04.017},
url = {http://dx.doi.org/10.1016/j.jmps.2011.04.017},
arxiv = {1010.1871}
}
@ARTICLE{wells:2011,
author = {G. N. Wells},
title = {Analysis of an interface stabilised finite element method:
{T}he advection-diffusion-reaction equation},
journal = {SIAM J Numer Anal},
year = {2011},
volume = {49},
pages = {87--109},
number = {1},
url = {http://dx.doi.org/10.1137/090775464}
}
@ARTICLE{logg:2010,
author = {A. Logg and G. N. Wells},
title = {{DOLFIN}: {A}utomated Finite Element Computing},
journal = {ACM Trans Math Software},
year = {2010},
volume = {37},
pages = {20:1--20:28},
number = {2},
url = {http://dx.doi.org/10.1145/1731022.1731030}
}
@ARTICLE{oelgaard:2010,
author = {K. B. {\O}lgaard and G. N. Wells},
title = {Optimisations for quadrature representations of finite element
tensors through automated code generation},
journal = {ACM Trans Math Software},
year = {2010},
volume = {37},
pages = {8:1--8:23},
number = {1},
url = {http://dx.doi.org/10.1145/1644001.1644009}
}
@ARTICLE{nikbakht:2009,
author = {M. Nikbakht and G. N. Wells},
title = {Automated modelling of evolving discontinuities},
journal = {Algorithms},
year = {2009},
volume = {2},
pages = {1008--1030},
number = {3},
doi = {10.3390/a2031008},
url = {http://dx.doi.org/10.3390/a2031008}
}
@ARTICLE{labeur:2009,
author = {R. J. Labeur and G. N. Wells},
title = {Interface stabilised finite element method for moving
domains and free surface flows},
journal = {Comput Methods Appl Mech Engrg},
year = {2009},
volume = {198},
pages = {615--630},
number = {5--8},
doi = {10.1016/j.cma.2008.09.014},
url = {http://dx.doi.org/10.1016/j.cma.2008.09.014}
}
@ARTICLE{oelgaard:2008,
author = {K. B. {\O}lgaard and A. Logg and G. N. Wells},
title = {Automated code generation for discontinuous {G}alerkin methods},
journal = {SIAM J Sci Comput},
year = {2008},
volume = {31},
pages = {849--864},
number = {2},
url = {http://dx.doi.org/10.1137/070710032}
}
@ARTICLE{dung:2008,
author = {N. T. Dung and G. N. Wells},
title = {Geometrically nonlinear formulation for thin shells without
rotation degrees-of-freedom},
journal = {Comput Methods Appl Mech Engrg},
year = {2008},
volume = {197},
pages = {2778--2788},
number = {33--40},
doi = {doi:10.1016/j.cma.2008.01.001},
url = {http://dx.doi.org/10.1016/j.cma.2008.01.001}
}
@ARTICLE{wells:2008,
author = {G. N. Wells and T. Hooijkaas and X. Shan},
title = {Modelling temperature effects on multiphase flow through
porous media},
journal = {Philos Mag},
year = {2008},
volume = {88},
pages = {3265--3279},
number = {28--29},
doi = {10.1080/14786430802566364},
url = {http://dx.doi.org/10.1080/14786430802566364}
}
@ARTICLE{labeur:2007,
author = {R. J. Labeur and G. N. Wells},
title = {A {G}alerkin interface stabilisation method for the
advection--diffusion and incompressible {N}avier--{S}tokes equations},
journal = {Comput Methods Appl Mech Engrg},
year = {2007},
volume = {196},
pages = {4985--5000},
number = {49--52},
url = {http://dx.doi.org/10.1016/j.cma.2007.06.025}
}
@ARTICLE{wells:2007,
author = {G. N. Wells and N. T. Dung},
title = {A {$C^{0}$} discontinuous {G}alerkin formulation for
{K}irchhoff plates},
journal = {Comput Methods Appl Mech Engrg},
year = {2007},
volume = {196},
pages = {3370--3380},
number = {35--36},
doi = {10.1016/j.cma.2007.03.008},
url = {http://dx.doi.org/10.1016/j.cma.2007.03.008}
}
@ARTICLE{wells:2006,
author = {G. N. Wells and E. Kuhl and K. Garikipati},
title = {A discontinuous {G}alerkin formulation for the
{C}ahn--{H}illiard equation},
journal = {J Comput Phys},
year = {2006},
volume = {218},
pages = {860--877},
number = {2},
url = {http://dx.doi.org/10.1016/j.jcp.2006.03.010}
}
@ARTICLE{molari:2006,
author = {L. Molari and G. N. Wells and K. Garikipati and F. Ubertini},
title = {A discontinuous {G}alerkin method for strain gradient-dependent
damage: {S}tudy of interpolations and convergence},
journal = {Comput Methods Appl Mech Engrg},
year = {2006},
volume = {195},
pages = {1480--1498},
number = {13--16},
url = {http://dx.doi.org/10.1016/j.cma.2005.05.026}
}
@ARTICLE{conservation:2005,
author = {T. J. R. Hughes and G. N. Wells},
title = {Conservation properties for the {G}alerkin and stabilised forms of
the advection-diffusion and incompressible {N}avier--{S}tokes equations},
journal = {Comput Methods Appl Mech Engrg},
year = {2005},
volume = {194},
pages = {1141--1159},
number = {9--11},
url = {http://dx.doi.org/10.1016/j.cma.2004.06.034}
}
@ARTICLE{wells:2004,
author = {G. N. Wells and K. Garikipati and L. Molari},
title = {A discontinuous {G}alerkin formulation for a strain
gradient-dependent damage model},
journal = {Comput Methods Appl Mech Engrg},
year = {2004},
volume = {193},
pages = {3633--3645},
number = {33--35},
url = {http://dx.doi.org/10.1016/j.cma.2005.05.026}
}
@ARTICLE{holmen:2004,
author = {J. Holmen and T. J. R. Hughes and A. A. Oberai and G. N. Wells},
title = {Sensitivity of the scale partition for variational multiscale {LES}
of channel flow},
journal = {Phys Fluids},
year = {2004},
volume = {16},
pages = {824--827},
number = {3},
url = {http://dx.doi.org/10.1063/1.1644573}
}
@ARTICLE{deborst:2003,
author = {de Borst, R. and M. A. Guti\'{e}rrez and G. N. Wells and
J. J. C. Remmers and H. Askes},
title = {Cohesive-zone models, higher-order continuum theories and
reliability methods for computational failure analysis},
journal = {Internat J Numer Methods Engrg},
year = {2004},
volume = {60},
pages = {289--315},
number = {1},
url = {http://dx.doi.org/10.1002/nme.963}
}
@ARTICLE{alfaiate:2002,
author = {J. Alfaiate and G. N. Wells and L. J. Sluys},
title = {On the use of embedded discontinuity elements with crack path
continuity for mode-{I} and mixed-mode fracture},
journal = {Eng Fract Mech},
year = {2002},
volume = {69},
pages = {661--686},
number = {6},
url = {http://dx.doi.org/10.1016/S0013-7944(01)00108-4}
}
@ARTICLE{deborst:2001,
author = {de Borst, R. and G. N. Wells and L. J. Sluys},
title = {Some observations on embedded discontinuity models},
journal = {Engrg Comput},
year = {2001},
volume = {18},
pages = {241--254},
number = {1--2},
url = {http://dx.doi.org/10.1108/02644400110365897}
}