BibTeX¶
@UNPUBLISHED{baier-reinio:2021,
author = {Baier-Reinio, A. and Rhebergen, S. and Wells G. N.},
title = {Analysis of pressure-robust embedded-hybridized
discontinuous Galerkin methods for the Stokes problem under minimal
regularity},
arxiv = {2110.10611},
url = {https://arxiv.org/abs/2110.10611},
}
@ARTICLE{scroggs:2021,
author = {Scroggs, M. W. and Dokken, J. S. and Richardson, C. N. and Wells, G. N.},
title = {Construction of arbitrary order finite element
degree-of-freedom maps on polygonal and polyhedral cell meshes},
journal = {ACM Transactions on Mathematical Software},
arxiv = {2102.11901},
url = {https://arxiv.org/abs/2102.11901},
note = {To appear},
}
@ARTICLE{rhebergen:2021,
author = {Rhebergen, S. and Wells G. N.},
title = {Preconditioning for a pressure-robust HDG discretization of the Stokes equations},
journal = {SIAM Journal on Scientific Computing},
year = {2021},
arxiv = {2105.09152},
url = {https://arxiv.org/abs/2105.09152},
note = {To appear},
}
@ARTICLE{groth:2020,
author = {Groth, Samuel P. and Gélat, Pierre and Haqshenas, Seyyed R.
and Saffari, Nader and van 't Wout, Elwin, and Betcke, Timo
and Wells, Garth N.},
title = {Accelerating frequency-domain numerical methods for weakly
nonlinear focused ultrasound using nested meshes},
year = {2021},
journal = {The Journal of the Acoustical Society of America},
volume = {150},
number = {1},
pages = {441-453},
url = {https://doi.org/10.1121/10.0005655},
arxiv = {2011.03009},
}
@ARTICLE{digioacchino:2020,
author = {Di Gioacchino, F. and Edwards, T. E. J. and Wells, G. N. and Clegg, W. J.},
title = {A new mechanism of strain transfer in polycrystals},
journal = {Scientific Reports},
year = {2020},
volume = {10},
pages = {10082}
url = {https://doi.org/10.1038/s41598-020-66569-7},
}
@ARTICLE{cesmelioglu:2020,
author = {Cesmelioglu, A. and Rhebergen, S. and Wells G. N.},
title = {An embedded--hybridized discontinuous {G}alerkin method for
the coupled {S}tokes--{D}arcy system},
journal = {Journal of Computational and Applied Mathematics},
year = {2020},
volume = {367},
pages = {112476}
arxiv = {1905.09753},
url = {https://doi.org/10.1016/j.cam.2019.112476},
}
@ARTICLE{rhebergen:2020,
author = {Rhebergen, S. and Wells G. N.},
title = {An embedded--hybridized discontinuous {G}alerkin finite element
method for the {S}tokes equations},
journal = {Computer Methods in Applied Mechanics and Engineering},
year = {2020},
volume = {358},
pages = {112619},
arxiv = {1811.09194},
url = {https://doi.org/10.1016/j.cam.2019.112476},
}
@ARTICLE{richardson:2019,
title = {Scalable computation of thermomechanical turbomachinery problems},
author = {C. N. Richardson and N. Sime and G. N. Wells},
journal = {Finite Elements in Analysis and Design}
year = {2019},
volume = {155},
pages = {32--42},
arxiv = {1804.10060},
url = {https://doi.org/10.1016/j.finel.2018.11.002},
}
@ARTICLE{rhebergen:2018b,
title = {Preconditioning of a hybridized discontinuous {G}alerkin
finite element method for the {S}tokes equations},
author = {Rhebergen, S. and Wells G. N.},
journal = {Journal of Scientific Computing},
year = {2018},
volume = {77},
number = {3},
pages = {1936--1952},
arxiv = {1801.04707},
url = {https://doi.org/10.1007/s10915-018-0760-4},
}
@ARTICLE{rhebergen:2018,
title = {A hybridizable discontinuous {G}alerkin method for the
{N}avier--{S}tokes equations with pointwise divergence-free velocity
field},
author = {Rhebergen, S. and Wells G. N.},
journal = {Journal of Scientific Computing},
year = {2018},
volume = {76},
number = {3},
pages = {1484--1501},
arxiv = {1704.07569},
url = {https://doi.org/10.1007/s10915-018-0671-4},
}
@ARTICLE{hale:2017,
title = {Containers for portable, productive and performant
scientific computing},
author = {Jack S. Hale and Lizao Li and Chris. N. Richardson and
Garth N. Wells},
journal = {Computing in Science and Engineering},
year = {2017},
volume = {19},
number = {6},
pages = {40--50},
arxiv = {1608.07573},
url = {https://doi.org/10.1109/MCSE.2017.2421459},
}
@ARTICLE{rhebergen:2017,
title = {Analysis of a hybridized/interface stabilized finite
element method for the Stokes equations},
author = {Rhebergen, S. and Wells, G. N.},
journal = {SIAM Journal on Numerical Analysis},
volume = {55},
number = {4},
pages = {1982--2003},
arxiv = {1607.02118},
url = {https://doi.org/10.1137/16M1083839},
}
@UNPUBLISHED{vandekerckhove:2016,
title = {Automatic calibration of damping layers in finite
element time domain simulations},
author = {Vandekerckhove, S. and Wells G. N. and De Gersem, H. and
Van Den Abeele, K.},
arxiv = {1601.07941},
url = {http://arxiv.org/abs/1601.07941},
}
@ARTICLE{gramacy:2016b,
title = {Discussion rejoinder: {M}odeling an augmented {L}agrangian
for improved blackbox constrained optimization},
author = {Robert B. Gramacy and Genetha A. Gray and Le Digabel,
Sebastian and Herbert K. H. Lee and Pritam Ranjan and
Garth N. Wells and Stefan M. Wild},
year = {2016},
journal = {Technometrics},
volume = {58},
number = {1},
pages = {26--29},
doi = {10.1080/00401706.2015.1106979},
url = {http://dx.doi.org/10.1080/00401706.2015.1106979},
}
@ARTICLE{gramacy:2016,
title = {Modeling an augmented {L}agrangian for improved blackbox
constrained optimization},
author = {Robert B. Gramacy and Genetha A. Gray and Le Digabel,
Sebastian and Herbert K. H. Lee and Pritam Ranjan and
Garth N. Wells and Stefan M. Wild},
year = {2016},
journal = {Technometrics},
volume = {58},
number = {1},
pages = {1--11},
doi = {10.1080/00401706.2015.1014065},
arxiv = {1403.4890},
url = {http://dx.doi.org/10.1080/00401706.2015.1014065},
note = {With discussion}
}
@ARTICLE{alisic:2016,
title = {Torsion of a cylinder of partially molten rock with a
spherical inclusion: theory and simulation},
author = {L. Alisic and S. Rhebergen and J. F. Rudge and R. F. Katz
and G. N. Wells},
journal = {Geochemistry, Geophysics, Geosystems},
year = {2016},
volume = {17},
number = {1},
doi = {10.1002/2015GC006061},
arxiv = {1508.03137},
url = {http://dx.doi.org/10.1002/2015GC006061},
}
@ARTICLE{unwin:2016,
title = {CO$_{2}$ dissolution in background hydrological flow},
author = {H. J. T. Unwin and G. N. Wells and A. W. Woods},
journal = {Journal of Fluid Mechanics},
year = {2016},
volume = {789},
month = {2},
pages = {768--784},
arxiv = {1506.04433},
url = {http://dx.doi.org/10.1017/jfm.2015.752},
}
@article{alnaes:2015,
author = {Alnæs, M. S. and Blechta, J. and Hake, J.
and Johansson, J. and Kehlet, B. and Logg, A.
and Richardson, C. and Ring, J. and Rognes, M. E.
and Wells, G. N.},
title = {The {FEniCS Project Version}~1.5},
journal = {Archive of Numerical Software},
volume = {3},
number = {100},
pages = {9--23},
year = {2015},
doi = {10.11588/ans.2015.100.20553},
url = {http://dx.doi.org/10.11588/ans.2015.100.20553},
}
@ARTICLE{rhebergen:2015,
title = {Three-field block-preconditioners for models of
coupled magma/mantle dynamics},
author = {S. Rhebergen and G. N. Wells and A. J. Wathen and R. F. Katz},
year = {2015},
journal = {SIAM Journal on Scientific Computing},
volume = {37},
number = {5},
pages = {A2270--A2294},
arxiv = {1411.5235},
url = {http://dx.doi.org/10.1137/14099718X},
}
@ARTICLE{alisic:2014,
title = {Compaction around a rigid, circular inclusion in partially
molten rock},
author = {L. Alisic and J. F. Rudge and R. F. Katz and G. N. Wells
and S. Rhebergen},
journal = {J Geophys Res Solid Earth},
year = {2014},
volume = {119},
number = {7},
pages = {5903--5920},
doi = {10.1002/2013JB010906},
url = {http://dx.doi.org/10.1002/2013JB010906},
}
@ARTICLE{rhebergen:2014,
title = {Analysis of block-preconditioners for models of coupled
magma/mantle dynamics},
author = {S. Rhebergen and G. N. Wells and R. F. Katz and A. J. Wathen},
journal = {SIAM J Sci Comput},
year = {2014},
volume = {36},
number = {4},
pages = {A1960--A1977},
arxiv = {1311.6372},
url = {http://dx.doi.org/10.1137/130946678},
}
@ARTICLE{alnaes:2014,
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 = {2014},
journal = {ACM Trans Math Software},
volume = {40},
number = {2},
pages = {9:1--9:37},
articleno = {9},
numpages = {37},
arxiv = {1211.4047},
doi = {10.1145/2566630},
url = {http://dx.doi.org/10.1145/2566630},
}
@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 = {2012},
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},
}
@ARTICLE{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}
}