For the first time, a Newton method is proposed for the unregularized viscoplastic fluid flow problem. It leads to a superlinear convergence for Herschel-Bulkley fluids when 0 < n < 1, where n is the power law index. Performances are enhanced by using the inexact variant of the Newton method and, for solving the Jacobian system, by using an efficient preconditioner based on the regularized prob...

We consider a mathematical model which describes the unilateral quasistatic contact of two elastic-viscoplastic bodies. The contact is without friction and it is modeled by the classical Signorini boundary conditions. The model consists of an evolution equation coupled with a time-dependent variational inequality. It has been shown that the variational problem of the model has a unique solution...

We analyse through numerical simulations, experiments, and scaling laws the dam-break problem for viscoplastic materials. Numerically, both two three-dimensional (2D 3D) scenarios are considered thanks to a proposed adaptive stabilized finite element framework able compute efficiently free surface flows of highly choose focus on Bingham model. Momentum mass equations solved by using Variational...