Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods

@article{Fang2013NonlinearPM,
  title={Non-linear Petrov-Galerkin methods for reduced order hyperbolic equations and discontinuous finite element methods},
  author={Fangxin Fang and Christopher C. Pain and Ionel Michael Navon and A. H. Elsheikh and Juan Du and Dong Xiao},
  journal={J. Comput. Physics},
  year={2013},
  volume={234},
  pages={540-559}
}
A new Petrov-Galerkin approach for dealing with sharp or abrupt field changes in discontinuous Galerkin (DG) reduced order modelling (ROM) is outlined in this paper. This method presents a natural and easy way to introduce a diffusion term into ROM without tuning/optimising and provides appropriate modeling and stabilisation for the numerical solution of… CONTINUE READING