Peer Reviewed Articles

• Stability of Nonlinear Convection-Diffusion-Reaction Systems in Discontinuous Galerkin Methods. [pdf] With C. Paillet, A. Alexanderian, C. Dawson, E.J. Kubatko. Journal of Scientific Computing, February 2017, Vol 70, pp. 516-550

• A Parallel and Adaptive Hybridized Discontinuous Galerkin Method for Anisotropic Nonhomogeneous Diffusion. [pdf] With A. Samii, C. Dawson. Computer Methods in Applied Mechanics and Engineering, Volume 304, Issue 1, June 2016, pp. 118-139

• Foundations of the Blended Isogeometric Discontinuous Galerkin (BIDG) Method. [pdf] With J. Chan, L. Engvall, J.A. Evans. Computer Methods in Applied Mechanics and Engineering, Volume 305, Issue 15, June 2016, pp. 658-681

• A Hybridized Discontinuous Galerkin Method for the Nonlinear Korteweg-de Vries Equation. [pdf] With A. Samii, N. Panda, C. Dawson. Journal of Scientific Computing, July 2016, Vol 68, pp. 191-212

• A Comparison of Artificial Viscosity, Limiters, and Filters, for High Order Discontinuous Galerkin Solutions in Nonlinear Settings. [pdf] With S. Brus, C. Dawson, E.J. Kubatko, J.J. Westerink, and D. Wirasaet. Journal of Scientific Computing, Apr 26 2015, pp. 1-29

• Effect of Chaos on Plasma Filament Dynamics and Turbulence in the Scrape-Off Layer. [pdf] With D. Meyerson, C.W. Horton, and F. Waelbroeck. Physics of Plasmas, Volume 21, Issue 7, July 2014, p. 072310

• Discontinuous Galerkin Methods for Plasma Physics in the Scrape-off Layer of Tokamaks. [pdf] With T. Isaac, D. Meyerson, and F. Waelbroeck. Journal of Computational Physics, Volume 274, Issue 1, September 2014, pp. 898-919

• Artificial Boundary Layers in Discontinuous Galerkin Solutions to Shallow Water Equations in Channels. [pdf] With S. Brus, C. Dawson, E.J. Kubatko, C. Mirabito, J.J. Westerink, and D. Wirasaet. Journal of Computational Physics, Volume 299, 15 October 2015, pp. 597-612

• Fully Coupled Methods for Multiphase Morphodynamics . [pdf, 10.1016/j.advwatres.2013.05.002] With C. Dawson, E.J. Kubatko, C. Mirabito, J.J. Westerink, and D. Wirasaet. Advances in Water Resources, Volume 59, September 2013, pp. 95-110

• Discontinuous Galerkin hp-adaptive Methods for Multiscale Chemical Reactors: Quiescent Reactors. [pdf] With J.A. Evans, and P.G. Schmitz, Computer Methods in Applied Mechanics and Engineering, Volume 279, Issue 1, September 2014, pp. 163-197

• Discontinuous Galerkin Methods with Nodal and Hybrid Modal/Nodal Triangular, Quadrilateral, and Polygonal Elements for Nonlinear Shallow Water Flow . [pdf] With C. Dawson, E.J. Kubatko, S. Tanaka, J.J. Westerink, and D. Wirasaet. Computer Methods in Applied Mechanics and Engineering, Volume 270, March 2014, pp. 113-149

• Dynamic p-enrichment Schemes for Multicomponent Reactive Flows. [pdf, arXiv] With C. Dawson, E.J. Kubatko, C. Mirabito, J.J. Westerink, and D. Wirasaet. Advances in Water Resources, Volume 34, Issue 12, December 2011, pp. 1666-1680

• Adaptive Hierarchic Transformations for Dynamically p-enriched Slope-limiting over Discontinuous Galerkin Systems of Generalized Equations. [pdf, arXiv, 10.1016/j.jcp.2011.07.009] With C. Dawson, E.J. Kubatko, C. Mirabito, J.J. Westerink, and D. Wirasaet. Journal of Computational Physics, Volume 230, Issue 22, 10 September 2011, pp. 8028-8056

• Discontinuous Galerkin Methods for Modeling Hurricane Storm Surge. [10.1016/j.advwatres.2010.11.004] With C. Dawson, E.J. Kubatko, C. Mirabito, N. Panda, C. Trahan, and J.J Westerink, Advances in Water Resources, Volume 34, Issue 9, September 2011, pp. 1165-1176

• A Discontinuous Galerkin Method for Viscous Compressible Multifluids. [pdf, arXiv, 10.1016/j.jcp.2009.08.011] With J.A. Evans, P.G. Schmitz and A. Vasseur, Journal of Computational Physics Volume 229, Issue 6, 10 March 2010, pp. 2249-2266

• Quantum Hydrodynamics with Trajectories: The Nonlinear Conservation Form Mixed/Discontinuous Galerkin Method with Applications in Chemistry. [pdf, arXiv, 10.1016/j.jcp.2009.08.011] With J.A. Evans, P.G. Schmitz and A. Vasseur, Journal of Computational Physics, Volume 228, Issue 23, 10 December 2009, pp. 8589-8608

• Existence and Uniqueness of Strong Solutions for a Compressible Multiphase Navier-Stokes Miscible Fluid-Flow Problem in Dimension n=1. [pdf, arXiv, 10.1142/S0218202509003498] With A. Vasseur, Mathematical Models and Methods in Applied Sciences, Volume: 19, Issue: 3 (2009) pp. 443-476

Technical Reports

• Parallelization of the PT123 Particle Tracking Engine for Mixed Eulerian-Lagrangian Methods. With C. Dawson and A. Terrel. Final Technical Report, August 26, 2013