3 papers
math.OC2026
Viscous Approximation of Optimal Control Problems Governed by Rate-Independent Systems with Non-Convex Energies
Merlin Andreia, Christian Meyer
We consider an optimal control problem governed by a rate-inde\-pendent system with non-convex energy. The state equation is approximated by means of viscous regularization w.r.t.\…
math.AP2023
On a Lack of Stability of Parametrized BV Solutions to Rate-Independent Systems with Non-Convex Energies and Discontinuous Loads
Merlin Andreia, Christian Meyer
We consider a rate-independent system with nonconvex energy under discontinuous external loading. The underlying space is finite dimensional and the loads are functions in $BV([0,T…
math.NA2022
An Adaptive Time Stepping Scheme for Rate-Independent Systems with Non-Convex Energy
Merlin Andreia, Christian Meyer
We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. Such systems are characterized by a (possibly) non-convex energy and a…