activity
20042023
most citedAn intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems

1 citations · 2 across the 6 of their papers we have counts for

collaborators

6 papers

math.OC2023

On the regularity of optimal potentials in control problems governed by elliptic equations

Giuseppe Buttazzo, Juan Casado_Díaz, Faustino Maestre

In this paper we consider optimal control problems where the control variable is a potential and the state equation is an elliptic partial differential equation of a Schrödinger ty…

math.AP2019

Homogenization of an elastodynamics system with a strong magnetic field and soft inclusions inducing a viscoelastic effective behavior

Marc Briane, Juan Casado-Diaz

In this paper we study the homogenization of a linear elastodynamics system in an elastic body with soft inclusions, which is embedded in a highly oscillating magnetic field. We sh…

math.AP2018★ 1 cited

Increase of mass and nonlocal effects in the homogenization of magneto-elastodynamics problems

Marc Briane, Juan Casado-Diaz

The paper deals with the homogenization of a magneto-elastodynamics equation satisfied by the displacement of an elastic body which is subjected to an oscillating…

math.AP2017★ 1 cited

An intrinsic Proper Generalized Decomposition for parametric symmetric elliptic problems

M. Azaïez, F. Ben Belgacem, J. Casado-Díaz +2

We introduce in this paper a technique for the reduced order approximation of parametric symmetric elliptic partial differential equations. For any given dimension, we prove the ex…

math.AP2015

A new div-curl result. Applications to the homogenization of elliptic systems and to the weak continuity of the Jacobian

M. Briane, Juan Casado-Diaz

In this paper a new div-curl result is established in an open set of , , for the product of two sequences of vector-valued functions which are bounded re…

math.AP2004

Asymptotic behavior of an elastic beam fixed on a small part of one of its extremities

Juan Casado-Diaz, Manuel Luna-Laynez, Francois Murat

We study the asymptotic behavior of the solution of an anisotropic, heterogeneous, linearized elasticity problem in a cylinder whose diameter tends to zero. The cylinder is ass…