papers.bib

---
---
% Liz

@article{McGeorge2024,
   author = {Elizabeth McGeorge and Miguel Moyers-Gonzalez and Mathieu Sellier and Phillip L. Wilson},
   journal = {In preparation.},
   title = {Recovery of basal slip and ice thickness for ice flwo describe by the Shallow Ice Approximation using an adjoint based optimisation method in two-dimensions.},
   year = {2024}
}

@article{McGeorgeThesis,
  title={Beyond observations: recovery of unknown parameters in ice flows using optimisation techniques and other tools},
 journal = {PhD Thesis.},
  author={Elizabeth McGeorge},
  year={2023}
}

@inproceedings{McGeorge2022b,
   author = {Elizabeth McGeorge and Miguel Moyers-Gonzalez and Mathieu Sellier and Phillip L. Wilson},
   city = {Sydney},
   journal = {23rd Australasian Fluid Mechanics Conference Proceedings},
   month = {12},
   title = {Exact recovery of kiwi-shaped bed topography in a no-slip ice sheet using only surface data.},
   year = {2022},
}

@article{McGeorge2022,
   abstract = {A key parameter in ice flow modelling is basal slipping at the ice-bed interface as it can have a large effect on the resultant ice thickness. Unfortunately, its contribution to surface observations can be hard to distinguish from that of bed undulations. Therefore, inferring the ice thickness from surface measurements is an interesting and non-trivial inverse problem. This paper presents a method for recovering dually the ice thickness and the basal slip using only surface elevation and speed measurements. The unidirectional shallow ice approximation is first implemented to model steady state ice flow for given bedrock and basal slip profiles. This surface is then taken as synthetic observed data. An augmented Lagrangian algorithm is then used to find the diffusion coefficient which gives the best fit to observations. Combining this recovered diffusion with observed surface velocity, a simple Newton's method is used to recover both the ice thickness and basal slip. The method was successful in each test case and this implies that it should be possible to recover both of these parameters in two-dimensional cases also.},
   author = {Elizabeth McGeorge and Miguel Moyers-Gonzalez and Mathieu Sellier and Phillip L. Wilson},
   doi = {10.1016/J.APM.2022.03.001},
   issn = {0307-904X},
   journal = {Applied Mathematical Modelling},
   month = {3},
   pages = {650-669},
   publisher = {Elsevier},
   title = {An augmented Lagrangian algorithm for recovery of ice thickness in unidirectional flow using the Shallow Ice Approximation},
   volume = {107},
   url = {https://linkinghub.elsevier.com/retrieve/pii/S0307904X22001172 https://arxiv.org/abs/2108.00854},
   year = {2022},
}

@article{McGeorge2021,
   abstract = {Glacier ice flow is shaped and defined by several properties, including the bedrock elevation profile and the basal slip distribution. The effect of these two basal properties can be present in similar ways in the surface. For bedrock recovery, this makes distinguishing between them an interesting and complex problem. The results of this paper show that in some synthetic test cases it is indeed possible to distinguish and recover both bedrock elevation and basal slip given free surface elevation and free surface velocity. The unidirectional shallow ice approximation is used to compute steady-state surface data for a number of synthetic cases with different bedrock profiles and basal slip distributions. A simple inversion method based on Newton’s method is applied to the known surface data to return the bedrock profile and basal slip distribution. In each synthetic test case, the inversion was successful in recovering both the bedrock elevation profile and the basal slip distribution variables. These results imply that there are a unique bedrock profile and basal slip which give rise to a unique combination of free surface velocity and free surface elevation.},
   author = {Elizabeth McGeorge and Mathieu Sellier and Miguel Moyers-Gonzalez and Phillip L. Wilson},
   doi = {10.1007/s00707-020-02845-x},
   issn = {16196937},
   issue = {1},
   journal = {Acta Mechanica},
   keywords = {Classical and Continuum Physics,Control,Dynamical Systems,Engineering Fluid Dynamics,Engineering Thermodynamics,Heat and Mass Transfer,Solid Mechanics,Theoretical and Applied Mechanics,Vibration},
   month = {1},
   pages = {305-322},
   publisher = {Springer},
   title = {Bedrock reconstruction from free surface data for unidirectional glacier flow with basal slip},
   volume = {232},
   url = {https://doi.org/10.1007/s00707-020-02845-x},
   year = {2021},
}

% Example

@string{aps = {American Physical Society,}}

@book{einstein1920relativity,
  title={Relativity: the Special and General Theory},
  author={Einstein, Albert},
  year={1920},
  publisher={Methuen & Co Ltd},
  html={relativity.html}
}

@book{einstein1956investigations,
  bibtex_show={true},
  title={Investigations on the Theory of the Brownian Movement},
  author={Einstein, Albert},
  year={1956},
  publisher={Courier Corporation},
  preview={brownian-motion.gif}
}

@article{einstein1950meaning,
  abbr={AJP},
  bibtex_show={true},
  title={The meaning of relativity},
  author={Einstein, Albert and Taub, AH},
  journal={American Journal of Physics},
  volume={18},
  number={6},
  pages={403--404},
  year={1950},
  publisher={American Association of Physics Teachers}
}

@article{PhysRev.47.777,
  abbr={PhysRev},
  title={Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?},
  author={Einstein, A. and Podolsky, B. and Rosen, N.},
  abstract={In a complete theory there is an element corresponding to each element of reality. A sufficient condition for the reality of a physical quantity is the possibility of predicting it with certainty, without disturbing the system. In quantum mechanics in the case of two physical quantities described by non-commuting operators, the knowledge of one precludes the knowledge of the other. Then either (1) the description of reality given by the wave function in quantum mechanics is not complete or (2) these two quantities cannot have simultaneous reality. Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that if (1) is false then (2) is also false. One is thus led to conclude that the description of reality as given by a wave function is not complete.},
  journal={Phys. Rev.},
  volume={47},
  issue={10},
  pages={777--780},
  numpages={0},
  year={1935},
  month={May},
  publisher=aps,
  doi={10.1103/PhysRev.47.777},
  url={http://link.aps.org/doi/10.1103/PhysRev.47.777},
  html={https://journals.aps.org/pr/abstract/10.1103/PhysRev.47.777},
  pdf={example_pdf.pdf},
  altmetric={248277},
  dimensions={true},
  google_scholar_id={qyhmnyLat1gC},
  selected={true}
}

@article{einstein1905molekularkinetischen,
  title={{\"U}ber die von der molekularkinetischen Theorie der W{\"a}rme geforderte Bewegung von in ruhenden Fl{\"u}ssigkeiten suspendierten Teilchen},
  author={Einstein, A.},
  journal={Annalen der physik},
  volume={322},
  number={8},
  pages={549--560},
  year={1905},
  publisher={Wiley Online Library}
}

@article{einstein1905movement,
  abbr={Ann. Phys.},
  title={Un the movement of small particles suspended in statiunary liquids required by the molecular-kinetic theory 0f heat},
  author={Einstein, A.},
  journal={Ann. Phys.},
  volume={17},
  pages={549--560},
  year={1905}
}

@article{einstein1905electrodynamics,
  title={On the electrodynamics of moving bodies},
  author={Einstein, A.},
  year={1905},
  preview={brownian-motion.gif}
}

@book{przibram1967letters,
  bibtex_show={true},
  title={Letters on wave mechanics},
  author={Einstein, Albert and Schrödinger, Erwin and Planck, Max and Lorentz, Hendrik Antoon and Przibram, Karl},
  year={1967},
  publisher={Vision},
  preview={wave-mechanics.gif}
}