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A comparison between two solution techniques to solve the equations of glacially induced deformation of an elastic Earth

In this paper we compare two modeling frameworks within which we compute the Earth's elastic response to an external load. The main difference between the two frameworks lies in their capability to solve the partial differential equations (PDE) for a pre‐stressed elastic body, and especially how the term describing the pre‐stress advection is represented. Furthermore, the two frameworks differ in their applicability in the incompressible limit, the choice of the finite elements (FEs) used for the discretization, and the solution strategy for the arising algebraic problem.