In this paper, we are interested in the modeling of wave propagation in viscoelastic media. We present a family of models which generalize the Zener’s model. We achieve its mathematical analysis: existence and uniqueness of solutions, energy decay and propagation with finite speed. For the numerical resolution, we extend a mixed finite element method proposed in [8]. This method combines mass l...

An algebraic multilevel iteration method for solving system of linear algebraic equations arising in HpΩ, curlq space is presented. The algorithm is developed for the discrete problem obtained by using the space of lowest order edge elements. The theoretical analysis of the method is based only on some algebraic sequences and generalized eigenvalues of local (element-wise) problems. Explicit re...

Flexible barriers are increasingly used for the protection from debris flow in mountainous terrain due to their low cost and environmental impact. However, the development of a numerical tool for the rational design of such structures is still a challenge. In this work, a hybrid computational framework is presented, using a total Lagrangian formulation of the finite element method to represent ...

An algebraic multilevel iteration method for solving system of linear algebraic equations arising in HpΩ, curlq space is presented. The algorithm is developed for the discrete problem obtained by using the space of lowest order edge elements. The theoretical analysis of the method is based only on some algebraic sequences and generalized eigenvalues of local (element-wise) problems. Explicit re...

An algebraic multilevel iteration method for solving system of linear algebraic equations arising in three-dimensional Hpdivq space is presented. The algorithm is developed for the discrete problem obtained by using the space of lowest order Raviart-Thomas-Nedelec elements. The theoretical analysis of the method is based only on some algebraic sequences and generalized eigenvalues of local (ele...

Balanced restoration consists in removing the effects of tectonic deformation in order to recover the depositional state of sedimentary layers. Restoration thus helps in the understanding of a geodynamic scenario, reduces structural uncertainties by testing the consistency of the structural model, and, under mechanical behavior assumptions, evaluates retro-deformation. We show how an elastic fi...

A mathematical model allowing coupled hygro-thermo-mechanical analysis of spalling in concrete walls at high temperatures by means of the moving boundary problem is presented. A simplified mechanical approach to account for effects of thermal stresses and pore pressure build-up on spalling is incorporated into the model. The numerical algorithm based on finite element discretization in space an...

In this paper, we give an explicit method for mapping any simply connected surface onto the sphere in a manner which preserves angles. This technique relies on certain conformal mappings from differential geometry. Our method provides a new way to automatically assign texture coordinates to complex undulating surfaces. We demonstrate a finite element method that can be used to apply our mapping...