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An adaptive Newton multigrid method for a model of marine ice sheets
2013
Journal of Computational Physics
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In this paper, we consider a model for the time evolution of three-dimensional marine ice sheets. ...
To overcome such difficulty, the second approach considers a unified model for the ice sheet and for the ice shelf with an implicit description of the GL through the flotation criterion. ...
Acknowledgements The authors thank Ralf Kornhuber for his support, Ed Bueler for helpful discussions and Maria Baden for English proofreading. ...
doi:10.1016/j.jcp.2013.06.032
fatcat:svbv2jlorfgbvocgjxupekgxxm
Adaptive mesh, finite volume modeling of marine ice sheets
2013
Journal of Computational Physics
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We implement a blockstructured finite volume method with adaptive mesh refinement (AMR) for three dimensional ice sheets, which allows us to discretize a narrow region around the grounding line at high ...
Continental scale marine ice sheets such as the present day West Antarctic Ice Sheet are strongly affected by highly localized features, presenting a challenge to numerical models. ...
Originally, this model was derived for geometries which do not vary in y but adapting it to a three-dimensional ice sheet is straightforward. ...
doi:10.1016/j.jcp.2012.08.037
fatcat:fw5wtn6o5zgerd5wiqp4hlgaiq
Scalable and efficient algorithms for the propagation of uncertainty from data through inference to prediction for large-scale problems, with application to flow of the Antarctic ice sheet
2015
Journal of Computational Physics
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We present efficient and scalable algorithms for this end-to-end, data-to-prediction process under the Gaussian approximation and in the context of modeling the flow of the Antarctic ice sheet and its ...
The ice is modeled as a viscous, incompressible, creeping, shear-thinning fluid. ...
In each of these outer Newton iterations, the nonlinear forward Stokes problem has to be solved, for which we use an (inner) Newton method. ...
doi:10.1016/j.jcp.2015.04.047
fatcat:fpshnibcz5curhq6wtmznqc7vm
Implementation and performance of adaptive mesh refinement in the Ice Sheet System Model (ISSM v4.14)
2019
Geoscientific Model Development
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The evolution of the grounding line indeed plays a major role in ice sheet dynamics, as it is a fundamental control on marine ice sheet stability. ...
Accurate projections of the evolution of ice sheets in a changing climate require a fine mesh/grid resolution in ice sheet models to correctly capture fundamental physical processes, such as the evolution ...
, Brazil, PhD scholarship no. 140186/2015-8 -and at the University of California, Irvine, under a contract with the National Aeronautics and Space Administration (NASA) Cryospheric Sciences Program (no ...
doi:10.5194/gmd-12-215-2019
fatcat:lwjb2katbbbsxoy3hf4ubvzlh4
Implementation and Performance of Adaptive Mesh Refinement in the Ice Sheet System Model (ISSM v4.14)
2018
Geoscientific Model Development Discussions
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The evolution of the grounding line indeed plays a major role in ice sheet dynamics, as it is a fundamental control on marine ice sheet stability. ...
</strong> Accurate projections of the evolution of ice sheets in a changing climate require a fine mesh/grid resolution to correctly capture fundamental physical processes, such as the evolution of the ...
Jouvet and Gräser (2013) combined the Shallow Ice Approximation and the Shallow Shelf Approximation in an AMR numerical scheme involving a truncated Newton multigrid and finite volume method. ...
doi:10.5194/gmd-2018-194
fatcat:fpuj4vvyxjf4njysbry5dbmfiu
icepack: a new glacier flow modeling package in Python, version 1.0
2021
Geoscientific Model Development
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We introduce a new software package called "icepack" for modeling the flow of glaciers and ice sheets. ...
Finally, icepack includes a Gauss–Newton solver for inverse problems that runs substantially faster than the Broyden–Fletcher–Goldfarb–Shanno (BFGS) method often used in the glaciological literature. ...
We would like to thank the Firedrake development team for their support and for many helpful discussions. Financial support. ...
doi:10.5194/gmd-14-4593-2021
fatcat:sdw2qyvwdrcl5pyg7v4zdnkcqi
Theoretical Developments in Electromagnetic Induction Geophysics with Selected Applications in the Near Surface
2011
Surveys in geophysics
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This is a difficult task since papers describing electromagnetic induction methods are widely dispersed throughout the scientific literature. ...
An attempt is made here to bring together and describe some of the most notable advances. ...
This paper was written while I was on sabbatical leave from Texas A&M as a visiting professor at ETH, Zurich. ...
doi:10.1007/s10712-011-9138-y
fatcat:v6t7a7k7dnecjfzp32x7lgjzcu
Meshless techniques for anisotropic diffusion
2014
Applied Mathematics and Computation
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The latter would allow better use of parallel computers, since time-stepping is essentially a serial process. Moreover, it would be good for the methods to be of high order accuracy. ...
A good numerical method would be locally mass conservative, produce no or minimal over/under-shoots, produce minimal numerical diffusion, and require no CFL time-step limit for stability. ...
We show how to solve the equations using a global implicit approach in an efficient way, and we present the derived computational results. ...
doi:10.1016/j.amc.2014.03.032
fatcat:c527226gyfgbffnq4p67qxd7wi
Surface velocity and mass balance of Livingston Island ice cap, Antarctica
2014
The Cryosphere
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</strong> The mass budget of the ice caps surrounding the Antarctica Peninsula and, in particular, the partitioning of its main components are poorly known. ...
Islands archipelago, and analyse variations in surface velocity for the period 2007–2011. ...
for data provision. ...
doi:10.5194/tc-8-1807-2014
fatcat:uuuqrgdzo5dnxksuqysbegpjga
Toward virtual biopsy through an all fiber optic ultrasonic miniaturized transducer: a proposal
2003
IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control
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........Method of moments ........Mode matching methods ........Multigrid methods ........Newton method ........Numerical simulation ........Numerical stability ........Relaxation methods ........Sparse ...
............Metadata ........Deformable models ........Digital elevation models ........Emulation ........Graphical models ........Green's function methods ........Hidden Markov models ........Input ...
doi:10.1109/tuffc.2003.1244749
fatcat:l3jre4etsvcqzfyz2jqggji3gy
Large-scale dark matter simulations
[article]
2021
arXiv
pre-print
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We finalise with a recount of state-of-the-art large-scale simulations and conclude with an outlook for the next decade. ...
A key aspect of cosmological simulations is the connection to cosmological observables, we discuss various techniques in this regard: structure finding, galaxy formation and baryonic modelling, the creation ...
Acknowledgements We would like to thank the editor, Thorsten Naab, for his invitation to write this article and his enormous patience during the process. We would also like to thank Alexandre Barreira ...
arXiv:2112.05165v1
fatcat:y462ymcryzhktnlefpkl25wnm4
Forty-First Annual Meeting March 2–6, 1997 Ernest N. Morial Convention Center New Orleans, Louisiana
1997
Biophysical Journal
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A mechanism of these phase transitions and the effect of the substitution of H'O by 1E0is proposed and discussed; an interaction energy between the surface segments of DPPC-MLV and solvents, may be important ...
Phospholipid bilayers and monolayers composed of 18:0, 18:1 PC/18:0, 22:6 PC with differing amounts of cholesterol are used as models for biological membranes. ...
By S.Korolev)
MULTIGRID BOUNDARY ELEMENT METHOD FOR BIOMOLECULAR ELECTROSTATICS ((Y.N.Vorobjev and JanHermans)) UNC, Chapel Hill, NC 27599-7260, vorobjevOfemto.med.unc.edu A Fast Adaptive Multigrid Boundary ...
doi:10.1016/s0006-3495(97)78735-6
fatcat:fwfbe5dox5hunpzqz2y2qfckwi
79. Jahrestagung Deutsche Geophysikalische Gesellschaft. 04.-07. März 2019 in Braunschweig. Abstracts und Autorenverzeichnis
2019
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In this study, a finite volume code using a multigrid scheme is the basis of an implemented adaptive mesh algorithm which considers differences in temperature, chemical composition or velocity to adapt ...
Furthermore, we found that the Antarctic ice sheets are located too far to the south to induce significant RFB on a postglacial time scale. ...
and monitoring of in-situ remediation of chlorinated hydrocarbon contamination using an interdisciplinary approach and geophysical methods, such as DCIP (direct current induced polarisation) to investigate ...
doi:10.2312/dgg79
fatcat:563ocnmvdfegxeryz62pncganm
73. Jahrestagung der Deutschen Geophysikalischen Gesellschaft : 4.–7. März 2013 in Leipzig
[article]
2013
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Acknowledgments: This work was funded by the Deutsche Forschungsgemeinschaft (DFG) and the German Federal Ministry for the Environment (BMU). ...
Acknowledgements The AIDA project is part of the GEOTECHNOLOGIEN program and is funded by the Federal Ministry of Education and Research (BMBF, grant no. 03G0735).
Acknowledgements ...
A potential candidate for an appropriate rover is the IceMole which is a melting probe combined with an ice screw for forward thrust. ...
doi:10.2312/dgg73
fatcat:wx2hmkf5cnbjffoyqwyrfiyye4