Least-Squares Finite Element Method for Sea-Ice Dynamics
This work provides a new numerical method for modeling sea-ice dynamics, which is important for climate and environmental simulations.
The authors developed a least-squares finite element method for sea-ice dynamics, using stress tensor as an additional variable with Raviart-Thomas elements. Computational results demonstrate the approach's feasibility on a test problem.
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.