Publications:
- Kubatko, E.J., J.J. Westerink, and C. Dawson. 2006. An unstructured grid morphodynamic model
with a discontinuous Galerkin method for bed evolution, Ocean Modelling 15(1-2): 71-89.
- Kubatko, E.J., J.J. Westerink, and C. Dawson. 2006. hp discontinuous Galerkin methods for advection
dominated problems in shallow water flow, Computer Methods in Applied Mechanics and Engineering 196(1-3): 437-451.
- Kubatko, E.J., J.J. Westerink, and C. Dawson. 2007. Semidiscrete discontinuous Galerkin methods
and stage-exceeding-order, strong-stability-preserving Runge-Kutta time discretization methods,
Journal of Computational Physics 222(2): 832-848.
- Kubatko, E.J., and J.J. Westerink. 2007. Exact discontinuous solutions of Exner’s bed evolution
model: a simple theory for sediment bores”, Journal of Hydraulic Engineering 133(3): 305-311.
- Westerink, J.J., R.A. Luettich, J.C. Feyen, J.H. Atkinson, C.N. Dawson, M.D. Powell, J.P. Dunion, H.J. Roberts,
E.J. Kubatko, H. Pourtaheri. 2008. A basin- to channel-scale unstructured grid hurricane storm surge model applied to
southern Louisiana, Monthly Weather Review, 136(3) 833-864.
- Kubatko, E.J., C. Dawson, and J.J. Westerink. 2008. Time step restrictions for Runge-Kutta discontinuous Galerkin
methods on triangular grids, Journal of Computational Physics, 227(23) 9697-9710.
- Kubatko, E.J., S. Bunya, C. Dawson., J.J. Westerink, C.M. Mirabato. A performance comparison of continuous
and discontinuous finite element shallow water models, Journal of Scientific Computing, accepted.
- Kubatko, E.J., S. Bunya, C. Dawson., and J.J. Westerink. Dynamic p-adaptive Runge-Kutta
discontinuous Galerkin methods for the shallow water equations, Computer Methods in Applied Mechanics and
Engineering, accepted.
- S. Bunya, E.J. Kubatko, J.J. Westerink, C. Dawson, S. Yoshimura, A wetting and drying treatment for the
Runge-Kutta discontinuous Galerkin solution to the shallow water equations, Computer Methods in Applied Mechanics
and Engineering, accepted.
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