This page is a copy of research/scientific_computing/former/geo (Wed, 31 Aug 2022 15:00:52)
Numerical simulations of glacial advance and recession
Maya Neytcheva, Erik Bängtsson
The aim of this project is to efficiently simulate the elastic response of the lithosphere to glacial advance and recession, as a means to improve the safety predictions for nuclear waste repositories.

The figure shows the vertical part of the solution to the problem in the case when the lithosphere is modeled as a purely elastic medium loaded by a rectangular sheet of ice.
Publications
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Numerical simulations of glacial rebound using preconditioned iterative solution methods
. In Applications of Mathematics, volume 50, pp 183-201, 2005. (DOI
).
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Numerical solution methods for glacial rebound models
. Technical report / Department of Information Technology, Uppsala University nr 2004-016, 2004. (fulltext
).
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Preconditioning of nonsymmetric saddle point systems as arising in modelling of viscoelastic problems
. In Electronic Transactions on Numerical Analysis, volume 29, pp 193-211, 2008.
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Algebraic preconditioning versus direct solvers for dense linear systems as arising in crack propagation problems
. In Communications in Numerical Methods in Engineering, volume 21, pp 73-81, 2005. (DOI
).
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An agglomerate multilevel preconditioner for linear isostasy saddle point problems
. In Large-Scale Scientific Computing, volume 3743 of Lecture Notes in Computer Science, pp 113-120, Springer-Verlag, Berlin, 2006. (DOI
).
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Finite element block-factorized preconditioners
. Technical report / Department of Information Technology, Uppsala University nr 2007-008, 2007. (fulltext
).
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A comparison between two solution techniques to solve the equations of linear isostasy
. Technical report / Department of Information Technology, Uppsala University nr 2006-051, 2006. (fulltext
).
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A comparison between two approaches to solve the equations of linear isostasy
. BIS-21++ Report nr 2006-03, Institute for Parallel Processing, Bulgarian Academy of Sciences, 2006.
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A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth
. In International Journal for Numerical Methods in Engineering, volume 75, pp 479-502, 2008. (DOI
).
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A consistent stabilized formulation for a nonsymmetric saddle-point problem
. Technical report / Department of Information Technology, Uppsala University nr 2005-030, 2005. (fulltext
).
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Robust preconditioned iterative solution methods for large-scale nonsymmetric problems
. Licentiate thesis, IT licentiate theses / Uppsala University, Department of Information Technology nr 2005-006, Uppsala University, 2005. (fulltext
).
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Robust Preconditioners Based on the Finite Element Framework
. Ph.D. thesis, Digital Comprehensive Summaries of Uppsala Dissertations from the Faculty of Science and Technology nr 296, Acta Universitatis Upsaliensis, Uppsala, 2007. (fulltext
).