Registered Data

[02249] An Adaptive Time Stepping Scheme for Rate-Independent Systems

  • Session Time & Room : 3E (Aug.23, 17:40-19:20) @E503
  • Type : Contributed Talk
  • Abstract : We investigate a local incremental stationary scheme for the numerical solution of rate-independent systems. The main novelty of our approach in comparison to existing methods is an adaptive choice of the step size for the update of the curve parameter. It is proven that the piecewise affine approximations generated by the algorithm converge (weakly) to a so-called parametrized balanced viscosity solution. Numerical experiments illustrate the theoretical findings and show a significant increase of the step size during sticking and in viscous jumps.
  • Classification : 65J08, 65K15, 65M12, 65M50
  • Format : Talk at Waseda University
  • Author(s) :
    • Merlin Andreia (TU Dortmund University)
    • Christian Meyer (TU Dortmund University)