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Cited article:

An adaptive time stepping scheme for rate-independent systems with nonconvex energy

Merlin Andreia and Christian Meyer
IMA Journal of Numerical Analysis 44 (1) 435 (2024)
https://doi.org/10.1093/imanum/drad008

Optimal Control of a Rate-Independent System Constrained to Parametrized Balanced Viscosity Solutions

Dorothee Knees and Stephanie Thomas
SIAM Journal on Control and Optimization 61 (2) 723 (2023)
https://doi.org/10.1137/21M1438967

Non-Smooth and Complementarity-Based Distributed Parameter Systems

Roland Herzog, Dorothee Knees, Christian Meyer, et al.
International Series of Numerical Mathematics, Non-Smooth and Complementarity-Based Distributed Parameter Systems 172 121 (2022)
https://doi.org/10.1007/978-3-030-79393-7_6

Fully discrete approximation schemes for rate-independent crack evolution

Dorothee Knees, Andreas Schröder and Viktor Shcherbakov
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380 (2236) (2022)
https://doi.org/10.1098/rsta.2021.0361

A penalized version of the local minimization scheme for rate-independent systems

Dorothee Knees and Viktor Shcherbakov
Applied Mathematics Letters 115 106954 (2021)
https://doi.org/10.1016/j.aml.2020.106954

Weak solutions for unidirectional gradient flows: existence, uniqueness, and convergence of time discretization schemes

Masato Kimura and Matteo Negri
Nonlinear Differential Equations and Applications NoDEA 28 (6) (2021)
https://doi.org/10.1007/s00030-021-00720-9

A Priori Error Analysis of Local Incremental Minimization Schemes for Rate-Independent Evolutions

Christian Meyer and Michael Sievers
SIAM Journal on Numerical Analysis 58 (4) 2376 (2020)
https://doi.org/10.1137/19M1281423

Irreversibility and alternate minimization in phase field fracture: a viscosity approach

Stefano Almi
Zeitschrift für angewandte Mathematik und Physik 71 (4) (2020)
https://doi.org/10.1007/s00033-020-01357-x