Supersolutions, monotone iterations, and stability

Monotone Iterations for Eliptic Variational Inequalities

Monotone Iterations for Elliptic Variational Inequalities

A wide range of free boundary problems occurring in engineering and industry can be rewritten as a minimization problem for a strictly convex, piecewise smooth but non–differentiable energy functional. The fast solution of related discretized problems is a very delicate question, because usual Newton techniques cannot be applied. We propose a new approach based on convex minimization and constr...

Non-monotone Fixpoint Iterations to Resolve Second Order E ects

We present a new xpoint theorem which guarantees the existence and the nite computability of the least common solution of a countable system of recursive equations over a wellfounded domain. The functions are only required to be increasing and delay-monotone, the latter being a property much weaker than monotonicity. We hold that wellfoundedness is a natural condition as it guarantees terminati...

Non-monotone Fixpoint Iterations to Resolve Second Order Eeects

We present a new xpoint theorem which guarantees the existence and the nite computability of the least common solution of a countable system of recursive equations over a wellfounded domain. The functions are only required to be increasing and delay-monotone, the latter being a property much weaker than monotonicity. We hold that wellfoundedness is a natural condition as it guarantees terminati...

Non-monotone Fixpoint Iterations to Resolve Second Order Effects