3 papers
math.AP2022★ 2 cited
Approximation of balanced viscosity solutions of a rate-independent damage model by combining alternate minimization with a local minimization algorithm
Samira Boddin, Felix Rörentrop, Dorothee Knees +1
The modeling of cracks has been an intensely researched topic for decades - both from the mechanical as well as from the mathematics point of view. As far as the modeling of sharp…
math.AP2019
Existence of parameterized BV-solutions for rate-independent systems with discontinuous loads
Dorothee Knees, Chiara Zanini
We study a rate-independent system with non-convex energy and in the case of a time-discontinuous loading. We prove existence of the rate-dependent viscous regularization by time-i…
math.OC2018
Optimal control of a rate-independent system constrained to parametrized balanced viscosity solutions
Dorothee Knees, Stephanie Thomas
We analyze an optimal control problem governed by a rate-independent system in an abstract infinite-dimensional setting. The rate-independent system is characterized by a nonconvex…