New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model

@article{Epshteyn2008NewIP,
  title={New Interior Penalty Discontinuous Galerkin Methods for the Keller-Segel Chemotaxis Model},
  author={Yekaterina Epshteyn and Alexander Kurganov},
  journal={SIAM J. Numerical Analysis},
  year={2008},
  volume={47},
  pages={386-408}
}
We develop a family of new interior penalty discontinuous Galerkin methods for the Keller-Segel chemotaxis model. This model is described by a system of two nonlinear PDEs: a convection-diffusion equation for the cell density coupled with a reaction-diffusion equation for the chemoattractant concentration. It has been recently shown that the convective part of this system is of a mixed hyperbolic-elliptic type, which may cause severe instabilities when the studied system is solved by… CONTINUE READING
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