# Theses, technical reports, and background references

These are publications which are related in some way to PISM. See the publications page for actual applications of PISM.

## Theses

These are unpublished theses related to PISM.

**Christopher G Dufour** (2016) Improving the Performance of Ice Sheet Modeling Through Embedded Simulation.

*The University of Maine*.

web bibtex @mastersthesis{Dufour2016,
AUTHOR = {Dufour, Christopher G},
TITLE = {Improving the Performance of Ice Sheet Modeling Through Embedded Simulation},
INSTITUTION = {The University of Maine},
NOTE = {M.S. Computer Science},
YEAR = {2016},
URL = {http://digitalcommons.library.umaine.edu/cgi/viewcontent.cgi?article=3542&context=etd},
}

**D. M. Mullaly Jr.** (2015) The influence of marine topography on the Antarctic ice sheet.

*Louisiana State University*.

web bibtex @mastersthesis{Mullaly2015,
AUTHOR = {D. M. Mullaly Jr.},
TITLE = {The influence of marine topography on the Antarctic ice sheet},
INSTITUTION = {Louisiana State University},
NOTE = {M.S. Geology \& Geophysics},
YEAR = {2015},
URL = {http://etd.lsu.edu/docs/available/etd-04092015-122012/}
}

**L. Gillispie** (2014) A temperature-only formulation for ice sheets.

*University of Alaska, Fairbanks*.

web bibtex @mastersthesis{Gillispie2014,
AUTHOR = {L. Gillispie},
TITLE = {A temperature-only formulation for ice sheets},
INSTITUTION = {University of Alaska, Fairbanks},
NOTE = {M.S. Mathematics},
YEAR = {2014},
URL = {http://bueler.github.io/papers/lgillispieMS.pdf}
}

**W. Mitchell** (2012) Exact and numerical solutions for Stokes flow in glaciers.

*University of Alaska, Fairbanks*.

web bibtex @mastersthesis{Mitchell2012,
AUTHOR = {W. Mitchell},
TITLE = {Exact and numerical solutions for Stokes flow in glaciers},
INSTITUTION = {University of Alaska, Fairbanks},
NOTE = {M.S. Mathematics},
YEAR = {2012},
URL = {http://www.math.wisc.edu/~whmitchell/WM_2012_MSTHESIS.pdf}
}

**D. DellaGiustina** (2011) Regional modeling of Greenland's outlet glaciers with the Parallel Ice Sheet Model.

*University of Alaska, Fairbanks*.

web bibtex @mastersthesis{DellaGiustina2011,
AUTHOR = {D. DellaGiustina},
TITLE = {Regional modeling of Greenland's outlet glaciers with the Parallel Ice Sheet Model},
INSTITUTION = {University of Alaska, Fairbanks},
NOTE = {M.S. Computational Physics},
YEAR = {2011},
URL = {http://www2.gi.alaska.edu/snowice/glaciers/iceflow/ddellagiustinaMS.pdf}
}

## Technical reports

These documents are unpublished technical reports related to PISM.

**E. Bueler** (2007) An exact solution to the temperature equation in a column of ice and bedrock.

web bibtex @unpublished{BuelerTestK,
AUTHOR = {E. Bueler},
TITLE = {An exact solution to the temperature equation in a column of ice and bedrock},
NOTE = {preprint \texttt{arXiv:0710.1314}},
YEAR = {2007},
URL = {http://arxiv.org/abs/0710.1314}
}

**E. Bueler, J. Brown** (2006) On exact solutions and numerics for cold, shallow, and thermocoupled ice sheets.

web bibtex @unpublished{BB,
AUTHOR = {E. Bueler and J. Brown},
TITLE = {On exact solutions and numerics for cold, shallow, and thermocoupled ice sheets},
NOTE = {preprint \texttt{arXiv:physics/0610106}},
YEAR = {2006},
URL = {http://arxiv.org/abs/physics/0610106}
}

**E. Bueler, C. S. Lingle, J. A. Kallen-Brown** (2006) Computation of a combined spherical-elastic and viscous-half-space Earth model for ice sheet simulation.

web bibtex @unpublished{BLK2006earth,
AUTHOR = {E. Bueler and C. S. Lingle and J. A. Kallen-Brown},
TITLE = {Computation of a combined spherical-elastic and viscous-half-space Earth model for ice sheet simulation},
NOTE = {preprint \texttt{arXiv:physics/0606074}},
YEAR = {2006},
URL = {http://arxiv.org/abs/physics/0606074}
}

**Ed Bueler** (2003) Construction of steady state solutions for isothermal shallow ice sheets.

*UAF*.

web bibtex @unpublished{BuelerTechReport2003,
author = {Ed Bueler},
title = {Construction of steady state solutions for isothermal shallow ice sheets},
year = {2003},
institution = {UAF},
url = {https://github.com/bueler/bueler.github.io/blob/master/papers/steadyiso.pdf},
note = {UAF DMS Technical Report 03-02}
}

## Background of PISM design

These documents are helpful for understanding PISM's design but they do not represent applications of PISM. They are not documentation of either current or previous versions of PISM.

**E. Bueler** (2016) Stable finite volume element schemes for the shallow ice approximation.

*Journal of Glaciology* 62 (232) pp. 230–242.

doi bibtex @article{Bueler2016,
AUTHOR = {E. Bueler},
TITLE = {Stable finite volume element schemes for the shallow ice approximation},
JOURNAL = {Journal of Glaciology},
VOLUME = {62},
NUMBER = {232},
PAGES = {230--242},
DOI = {10.1017/jog.2015.3},
YEAR = {2016},
}

**S. Khan, A. Aschwanden, A. A. Bjørk, J. Wahr, K. K. Kjeldsen, K. H. Kjaer** (2015) Greenland ice sheet mass balance: a review.

*Rep. Prog. Phys* 78 (4)

doi bibtex @article{Khanetal2015,
AUTHOR = {S. Khan and A. Aschwanden and A. A. Bjørk and J. Wahr and K. K. Kjeldsen and K. H. Kjaer},
TITLE = {Greenland ice sheet mass balance: a review},
JOURNAL = {Rep. Prog. Phys},
VOLUME = {78},
NUMBER = {4},
DOI = {10.1088/0034-4885/78/4/046801},
YEAR = {2015},
}

**E. Bueler** (2014) Correspondence: Extending the lumped subglacial–englacial hydrology model of Bartholomaus and others (2011).

*Journal of Glaciology* 60 (222) pp. 808–810.

doi web bibtex @Article{Bueler2014correspondence,
AUTHOR = {E. Bueler},
TITLE = {Correspondence: Extending the lumped subglacial–englacial hydrology model of Bartholomaus and others (2011)},
JOURNAL = {Journal of Glaciology},
VOLUME = {60},
NUMBER = {222},
PAGES = {808--810},
DOI = {10.3189/2014JoG14J075},
URL = {http://www.igsoc.org/journal/60/222/t14j075.html},
YEAR = {2014},
}

**E. Bueler** (2014) An exact solution for a steady, flow-line marine ice sheet.

*Journal of Glaciology* 60 (224) pp. 1117–1125.

doi bibtex @article{Bueler2014exactmarine,
AUTHOR = {E. Bueler},
TITLE = {An exact solution for a steady, flow-line marine ice sheet},
JOURNAL = {Journal of Glaciology},
VOLUME = {60},
NUMBER = {224},
PAGES = {1117--1125},
DOI = {10.3189/2014JoG14J066},
YEAR = {2014},
}

**G. Jouvet, E. Bueler, C. Graeser, R. Kornhuber** (2013) A nonsmooth Newton multigrid method for a hybrid, shallow model of marine ice sheets.

*AMS Contemporary Mathematics (SCA 2012)* 586 pp. 197–205.

doi bibtex @article{Jouvetetal2012proc,
AUTHOR = {G. Jouvet and E. Bueler and C. Graeser and R. Kornhuber},
TITLE = {A nonsmooth {N}ewton multigrid method for a hybrid, shallow model of marine ice sheets},
JOURNAL = {AMS Contemporary Mathematics (SCA 2012)},
VOLUME = {586},
DOI = {10.1090/conm/586/11657},
YEAR = {2013},
PAGES = {197--205},
}

**M. Habermann, D. Maxwell, M. Truffer** (2012) Reconstruction of basal properties in ice sheets using iterative inverse methods.

*Journal of Glaciology* 58 (210) pp. 795–807.

doi bibtex @article{Habermannetal2012,
AUTHOR = {M. Habermann and D. Maxwell and M. Truffer},
TITLE = {Reconstruction of basal properties in ice sheets using iterative inverse methods},
JOURNAL = {Journal of Glaciology},
VOLUME = {58},
NUMBER = {210},
PAGES = {795--807},
DOI = {10.3189/2012JoG11J168},
YEAR = {2012},
}

**G. Jouvet, E. Bueler** (2012) Steady, shallow ice sheets as obstacle problems: well-posedness and finite element approximation.

*SIAM J. Appl. Math.* 72 (4) pp. 1292–1314.

doi bibtex @article{JouvetBueler2012,
AUTHOR = {G. Jouvet and E. Bueler},
TITLE = {Steady, shallow ice sheets as obstacle problems: well-posedness and finite element approximation},
JOURNAL = {SIAM J. Appl. Math.},
VOLUME = {72},
NUMBER = {4},
PAGES = {1292--1314},
DOI = {10.1137/110856654},
YEAR = {2012},
}

**G. Jouvet, J. Rappaz, E. Bueler, H. Blatter** (2011) Existence and stability of steady state solutions of the shallow ice sheet equation by an energy minimization approach.

*J. Glaciol.* 57 (202) pp. 345–354.

bibtex @article{Jouvetetal2011,
AUTHOR = {G. Jouvet and J. Rappaz and E. Bueler and H. Blatter},
TITLE = {Existence and stability of steady state solutions of the shallow ice sheet equation by an energy minimization approach},
JOURNAL = {J. Glaciol.},
VOLUME = {57},
NUMBER = {202},
PAGES = {345--354},
YEAR = {2011},
}

**R. Greve, H. Blatter** (2009) Dynamics of Ice Sheets and Glaciers. Springer.

bibtex @book{GreveBlatter2009,
AUTHOR = {R. Greve and H. Blatter},
TITLE = {Dynamics of {I}ce {S}heets and {G}laciers},
SERIES = {Advances in Geophysical and Environmental Mechanics and Mathematics},
PUBLISHER = {Springer},
YEAR = {2009},
}

**D. Maxwell, M. Truffer, S. Avdonin, M. Stuefer** (2008) An iterative scheme for determining glacier velocities and stresses.

*J. Glaciol.* 54 (188) pp. 888–898.

doi bibtex @article{Maxwelletal2008,
author = "D. Maxwell and M. Truffer and S. Avdonin and M. Stuefer",
title = "An iterative scheme for determining glacier velocities and stresses",
journal = "J. Glaciol.",
volume = "54",
number = "188",
year = "2008",
pages = "888--898",
doi = "10.3189/002214308787779889"
}

**C. Schoof** (2006) A variational approach to ice stream flow.

*J. Fluid Mech.* 556 pp. 227–251.

bibtex @article{SchoofStream,
AUTHOR = {Schoof, C.},
TITLE = {A variational approach to ice stream flow},
JOURNAL = {J. Fluid Mech.},
FJOURNAL = {Journal of Fluid Mechanics},
VOLUME = {556},
YEAR = {2006},
PAGES = {227--251},
}

**Reinhard Calov, Ralf Greve** (2005) Correspondence: A semi-analytical solution for the positive degree-day model with stochastic temperature variations.

*J. Glaciol* 51 (172) pp. 173–175.

bibtex @article{CalovGreve05,
AUTHOR = {Reinhard Calov and Ralf Greve},
TITLE = {Correspondence: {A} semi-analytical solution for the positive degree-day model with stochastic temperature variations},
YEAR = {2005},
JOURNAL = {J. Glaciol},
VOLUME = {51},
NUMBER = {172},
PAGES = {173--175},
}

**E. Bueler, C. S. Lingle, J. A. Kallen-Brown, D. N. Covey, L. N. Bowman** (2005) Exact solutions and numerical verification for isothermal ice sheets.

*J. Glaciol.* 51 (173) pp. 291–306.

web bibtex @article{BLKCB,
AUTHOR = {E. Bueler and C. S. Lingle and J. A. Kallen-Brown and D. N. Covey and L. N. Bowman},
TITLE = {Exact solutions and numerical verification for isothermal ice sheets},
JOURNAL = {J. Glaciol.},
VOLUME = {51},
NUMBER = {173},
PAGES = {291--306},
YEAR = {2005},
URL = {http://www.ingentaconnect.com/content/igsoc/jog/2005/00000051/00000173/art00011}
}

**C. Schoof** (2003) The effect of basal topography on ice sheet dynamics.

*Continuum Mech. Thermodyn.* 15 pp. 295–307.

doi bibtex @article{Schoofbasaltopg2003,
AUTHOR = {Schoof, C.},
TITLE = {The effect of basal topography on ice sheet dynamics},
JOURNAL = {Continuum Mech. Thermodyn.},
VOLUME = {15},
PAGES = {295--307},
YEAR = {2003},
DOI = {10.1007/s00161-003-0119-3},
}

**A. Payne, others** (2000) Results from the EISMINT model intercomparison: the effects of thermomechanical coupling.

*J. Glaciol.* 153 pp. 227–238.

bibtex @article{EISMINT00,
AUTHOR = {A. Payne and others},
TITLE = {Results from the {EISMINT} model intercomparison: the effects of thermomechanical coupling},
JOURNAL = {J. Glaciol.},
VOLUME = {153},
PAGES = {227--238},
YEAR = {2000},
}

**M. Weis, R. Greve, K. Hutter** (1999) Theory of shallow ice shelves.

*Continuum Mech. Thermodyn.* 11 (1) pp. 15–50.

bibtex @article{WeisGreveHutter,
AUTHOR = {M. Weis and R. Greve and K. Hutter},
TITLE = {Theory of shallow ice shelves},
JOURNAL = {Continuum Mech. Thermodyn.},
VOLUME = {11},
NUMBER = {1},
YEAR = {1999},
PAGES = {15--50},
}

**D. R. MacAyeal, V. Rommelaere, Ph. Huybrechts, C.L. Hulbe, J. Determann, C. Ritz** (1996) An ice-shelf model test based on the Ross ice shelf.

*Ann. Glaciol.* 23 pp. 46–51.

bibtex @article{MacAyealetal,
AUTHOR = {D. R. MacAyeal and V. Rommelaere and Ph. Huybrechts and C.L. Hulbe and J. Determann and C. Ritz},
TITLE = {An ice-shelf model test based on the {R}oss ice shelf},
JOURNAL = {Ann. Glaciol.},
VOLUME = {23},
YEAR = {1996},
PAGES = {46--51},
}

**D. R. MacAyeal** (1989) Large-scale ice flow over a viscous basal sediment: theory and ˘application to ice stream B, Antarctica.

*J. Geophys. Res.* 94 (B4) pp. 4071–4087.

bibtex @article{MacAyeal,
AUTHOR = {D. R. MacAyeal},
TITLE = {Large-scale ice flow over a viscous basal sediment: theory and ˘application to ice stream {B}, {A}ntarctica},
JOURNAL = {J. Geophys. Res.},
VOLUME = {94},
NUMBER = {B4},
YEAR = {1989},
PAGES = {4071--4087},
}

**M. W. Mahaffy** (1976) A three–dimensional numerical model of ice sheets: tests on the Barnes Ice Cap, Northwest Territories.

*J. Geophys. Res.* 81 (6) pp. 1059–1066.

bibtex @article{Mahaffy,
AUTHOR = {M. W. Mahaffy},
TITLE = {A three--dimensional numerical model of ice sheets: tests on the {B}arnes {I}ce {C}ap, {N}orthwest {T}erritories},
JOURNAL = {J. Geophys. Res.},
VOLUME = {81},
NUMBER = {6},
PAGES = {1059--1066},
YEAR = {1976},
}