Discretization of Parabolic Inequalities

S. Bertoluzza

We consider the time discretization with linear multistep methods of an abstract parabolic variational inequality. For such a discretization we prove stability and convergence under suitable regularity assumptions. Moreover we prove that, under suitable assumptions, the methods considered converge with order at least one. We performed numerical essays that lead to the conjecture that the order is higher.

Calcolo , v. 26, (1989).

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