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math.AP2022
Numerical approximation of the solution of an obstacle problem modelling the displacement of elliptic membrane shells via the penalty method
Aaron Meixner, Paolo Piersanti
In this paper we establish the convergence of a numerical scheme based, on the Finite Element Method, for a time-independent problem modelling the deformation of a linearly elastic…
math.AP2022
On the dynamics of shallow ice sheets. Modelling and analysis
Paolo Piersanti, Roger Temam
We formulate a model describing the evolution of thickness in a shallow ice sheet lying over a lithosphere. The model is thus governed by a set of variational inequalities that inv…
math.AP2022★ 1 cited
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface
Paolo Piersanti, Kristen White, Bogdan Dragnea +1
In this paper we present a three-dimensional discrete model governing the deformation of a viral capsid, modelled as a regular icosahedron and subjected not to cross a given flat r…