Least-Squares Finite Element Method for Sea-Ice Dynamics
Fleurianne Bertrand
TL;DR
This paper introduces a least-squares finite element method for modeling sea-ice dynamics, utilizing displacement and stress tensor variables with specific finite element spaces, and demonstrates its effectiveness through computational tests.
Contribution
It presents a novel first-order system least squares formulation for sea-ice dynamics incorporating stress tensor variables and specific finite element discretizations.
Findings
Effective computational results for test problems
Stable and accurate finite element formulation
Demonstrated applicability to sea-ice modeling
Abstract
A first-order system least squares formulation for the sea-ice dynamics is presented. In addition to the displacement field, the stress tensor is used as a variable. As finite element spaces, standard conforming piecewise polynomials for the displacement approximation are combined with Raviart-Thomas elements for the rows in the stress tensor. Computational results for a test problem illustrate the least-squares approach.
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Taxonomy
TopicsArctic and Antarctic ice dynamics · Climate change and permafrost · Cryospheric studies and observations