On the error estimate of gradient inclusions

Omar Anza Hafsa (1, 2)

1 M3 - Modélisation Mathématique en Mécanique
2 UNIMES - Université de Nîmes

The numerical analysis of gradient inclusions in a compact subset of $2\times 2$ diagonal matrices is studied. Assuming that the boundary conditions are reached after a finite number of laminations and using piecewise linear finite elements, we give a general error estimate in terms of the number of laminations and the mesh size. This is achieved by reduction results from compact to finite case.

Domaines: Analyse numérique [math.NA]; Equations aux dérivées partielles [math.AP]

Omar Anza Hafsa. On the error estimate of gradient inclusions. 2013. ⟨hal-00958316⟩