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@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} }

- Published 2013 in J. Comput. Physics
DOI:10.1016/j.jcp.2012.10.011

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

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