The computation of nonclassical shock waves with a heterogeneous multiscale method

@article{Kissling2010TheCO,
  title={The computation of nonclassical shock waves with a heterogeneous multiscale method},
  author={Frederike Kissling and Christian Rohde},
  journal={NHM},
  year={2010},
  volume={5},
  pages={661-674}
}
We consider weak solutions of hyperbolic conservation laws as singular limits of solutions for associated complex regularized problems. We are interested in situations such that undercompressive (Non-Laxian) shock waves occur in the limit. In this setting one can view the conservation law as a macroscale formulation while the regularization can be understood as the microscale model. With this point of view it appears natural to solve the macroscale model by a heterogeneous multiscale approach… CONTINUE READING
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