Discrete Carleman estimates for elliptic operators in arbitrary dimension and applications

The proof for the discrete alloy-type model is the same as the proof for continuous alloy- type models, using the results of Appendix C instead of Appendix B, and making the

Dans le cadre de cette thèse, nous avons étudié le comportement mécanique, ou plus précisément le comportement à la fissuration et la plasticité, à température ambiante,

Robbiano, Carleman estimate for elliptic operators with coefficents with jumps at an interface in arbitrary dimension and application to the null controllability of linear

Moreover, our methodology can be readily adapted to derive the analogous counterpart of well-known controllability results in the continuous case, commonly relying on

As a consequence, we shall obtain new uniform controllability results for the associated semi-discrete parabolic equation and systems via the moments method adapted to the

Then we use this Carleman estimate with a special choice of weight functions to obtain in section 3 a three balls theorem and doubling inequalities on solutions of (1.1).. Section 4

On such meshes, discrete scalar fields are defined by their values both at the cell centers and vertices, while discrete gradients are associated with the edges of the mesh, like in

In Section 6, we study the stability properties of the approximate solution with respect to the data f and g and finally in Section 7, we prove error estimates for the discrete