Articles | Volume 17, issue 12
https://doi.org/10.5194/gmd-17-4943-2024
https://doi.org/10.5194/gmd-17-4943-2024
Development and technical paper
 | 
25 Jun 2024
Development and technical paper |  | 25 Jun 2024

Assessing the benefits of approximately exact step sizes for Picard and Newton solver in simulating ice flow (FEniCS-full-Stokes v.1.3.2)

Niko Schmidt, Angelika Humbert, and Thomas Slawig

Related authors

Assessing supraglacial lake depth using ICESat-2, Sentinel-2, TanDEM-X, and in situ sonar measurements over Northeast and Southwest Greenland
Katrina Lutz, Lily Bever, Christian Sommer, Thorsten Seehaus, Angelika Humbert, Mirko Scheinert, and Matthias Braun
The Cryosphere, 18, 5431–5449, https://doi.org/10.5194/tc-18-5431-2024,https://doi.org/10.5194/tc-18-5431-2024, 2024
Short summary
Multi-annual patterns of rapidly draining supraglacial lakes in Northeast Greenland
Katrina Lutz, Ilaria Tabone, Angelika Humbert, and Matthias Braun
EGUsphere, https://doi.org/10.5194/egusphere-2024-3056,https://doi.org/10.5194/egusphere-2024-3056, 2024
Short summary
AWI-ICENet1: a convolutional neural network retracker for ice altimetry
Veit Helm, Alireza Dehghanpour, Ronny Hänsch, Erik Loebel, Martin Horwath, and Angelika Humbert
The Cryosphere, 18, 3933–3970, https://doi.org/10.5194/tc-18-3933-2024,https://doi.org/10.5194/tc-18-3933-2024, 2024
Short summary
Calving front monitoring at a subseasonal resolution: a deep learning application for Greenland glaciers
Erik Loebel, Mirko Scheinert, Martin Horwath, Angelika Humbert, Julia Sohn, Konrad Heidler, Charlotte Liebezeit, and Xiao Xiang Zhu
The Cryosphere, 18, 3315–3332, https://doi.org/10.5194/tc-18-3315-2024,https://doi.org/10.5194/tc-18-3315-2024, 2024
Short summary
Improved basal drag of the West Antarctic Ice Sheet from L-curve analysis of inverse models utilizing subglacial hydrology simulations
Lea-Sophie Höyns, Thomas Kleiner, Andreas Rademacher, Martin Rückamp, Michael Wolovick, and Angelika Humbert
EGUsphere, https://doi.org/10.5194/egusphere-2024-1251,https://doi.org/10.5194/egusphere-2024-1251, 2024
Short summary

Related subject area

Numerical methods
A joint reconstruction and model selection approach for large-scale linear inverse modeling (msHyBR v2)
Malena Sabaté Landman, Julianne Chung, Jiahua Jiang, Scot M. Miller, and Arvind K. Saibaba
Geosci. Model Dev., 17, 8853–8872, https://doi.org/10.5194/gmd-17-8853-2024,https://doi.org/10.5194/gmd-17-8853-2024, 2024
Short summary
Assimilation of snow water equivalent from AMSR2 and IMS satellite data utilizing the local ensemble transform Kalman filter
Joonlee Lee, Myong-In Lee, Sunlae Tak, Eunkyo Seo, and Yong-Keun Lee
Geosci. Model Dev., 17, 8799–8816, https://doi.org/10.5194/gmd-17-8799-2024,https://doi.org/10.5194/gmd-17-8799-2024, 2024
Short summary
The Paleochrono-1.1 probabilistic model to derive a common age model for several paleoclimatic sites using absolute and relative dating constraints
Frédéric Parrenin, Marie Bouchet, Christo Buizert, Emilie Capron, Ellen Corrick, Russell Drysdale, Kenji Kawamura, Amaëlle Landais, Robert Mulvaney, Ikumi Oyabu, and Sune Olander Rasmussen
Geosci. Model Dev., 17, 8735–8750, https://doi.org/10.5194/gmd-17-8735-2024,https://doi.org/10.5194/gmd-17-8735-2024, 2024
Short summary
Explicit stochastic advection algorithms for the regional-scale particle-resolved atmospheric aerosol model WRF-PartMC (v1.0)
Jeffrey H. Curtis, Nicole Riemer, and Matthew West
Geosci. Model Dev., 17, 8399–8420, https://doi.org/10.5194/gmd-17-8399-2024,https://doi.org/10.5194/gmd-17-8399-2024, 2024
Short summary
The Measurement Error Proxy System Model: MEPSM v0.2
Matt J. Fischer
Geosci. Model Dev., 17, 6745–6760, https://doi.org/10.5194/gmd-17-6745-2024,https://doi.org/10.5194/gmd-17-6745-2024, 2024
Short summary

Cited articles

COM: COMSOL Multiphysics Reference Manual, https://doc.comsol.com/5.4/doc/com.comsol.help.comsol/COMSOL_ReferenceManual.pdf (last access: 13 June 2024), 2018. a
Belenki, L., Berselli, L. C., Diening, L., and Růžička, M.: On the finite element approximation of p-stokes systems, SIAM J. Numer. Anal., 50, 373–397, 2012. a
Chen, Q., Gunzburger, M., and Perego, M.: Well-Posedness Results for a Nonlinear Stokes Problem Arising in Glaciology, SIAM J. Math. Anal., 45, 2710–2733, https://doi.org/10.1137/110848694, 2013. a
Colinge, J. and Rappaz, J.: A strongly nonlinear problem arising in glaciology, ESAIM-Math. Model. Num., 33, 395–406, https://doi.org/10.1051/m2an:1999122, 1999. a
Dennis, J. and Schnabel, R.: Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Society for Industrial and Applied Mathematics, Philadelphia, xv + 375 pp., https://doi.org/10.1137/1.9781611971200, 1996. a
Download
Short summary
Future sea-level rise is of big significance for coastal regions. The melting and acceleration of glaciers plays a major role in sea-level change. Computer simulation of glaciers costs a lot of computational resources. In this publication, we test a new way of simulating glaciers. This approach produces the same results but has the advantage that it needs much less computation time. As simulations can be obtained with fewer computation resources, higher resolution and physics become affordable.