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Fully-Mixed Virtual Element Method for the Biot Problem
Michele Botti, Daniele Prada, Anna Scotti +1
Poroelasticity describes the interaction of deformation and fluid flow in saturated porous media. A fully-mixed formulation of Biot's poroelasticity problem has the advantage of pr…
Stability and interpolation estimates of Hellinger-Reissner virtual element spaces
Michele Botti, Lorenzo Mascotto, Giuseppe Vacca +1
We prove stability and interpolation estimates for Hellinger-Reissner virtual elements; the constants appearing in such estimates only depend on the aspect ratio of the polytope un…
A lowest order stabilization-free mixed Virtual Element Method
Andrea Borio, Carlo Lovadina, Francesca Marcon +1
We initiate the design and the analysis of stabilization-free Virtual Element Methods for the laplacian problem written in mixed form. A Virtual Element version of the lowest order…
A family of three-dimensional Virtual Elements for Hellinger-Reissner elasticity problems
Michele Visinoni
We present a family of Virtual Element Methods for three-dimensional linear elasticity problems based on the Hellinger-Reissner variational principle. A convergence and stability a…
Hybridization of the Virtual Element Method for linear elasticity problems
Franco Dassi, Carlo Lovadina, Michele Visinoni
We extend the hybridization procedure proposed in [Arnold, Brezzi, 1985, ESAIM: M2AN] to the Virtual Element Method for linear elasticity problems based on the Hellinger-Reissner p…
A three-dimensional Hellinger-Reissner Virtual Element Method for linear elasticity problems
F. Dassi, C. Lovadina, M. Visinoni
We present a Virtual Element Method for the 3D linear elasticity problems, based on Hellinger-Reissner variational principle. In the framework of the small strain theory, we propos…