Additional links to my preprints can be found on arXiv.org and ResearchGate. My published work can also be tracked on Scopus and Google Scholar.

Preprints

| Drzisga, D., Keith, B., and Wohlmuth, B. (2019). The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis. Submitted [code] | | Drzisga, D., Keith, B., and Wohlmuth, B. (2019). The surrogate matrix methodology: Low-cost assembly for isogeometric analysis. ArXiv e-print arXiv:1904.06971 [math.NA] [preprint] | | Drzisga, D., Keith, B., and Wohlmuth, B. (2019). The surrogate matrix methodology: a priori error estimation. ArXiv e-print arXiv:1902.07333 [math.NA] [preprint] | | Demkowicz, L., Gopalakrishnan, J., and Keith, B. (2018). The DPG-star method. ArXiv e-print arXiv:1809.03153 [math.NA] [preprint] |

Journal Articles

| Keith, B., Vaziri Astaneh, A., and Demkowicz, L. (2019). Goal-oriented adaptive mesh refinement for discontinuous Petrov–Galerkin methods. SIAM Journal on Numerical Analysis (To appear) [preprint] | | Vaziri Astaneh, A., Keith, B., and Demkowicz, L. (2018). On perfectly matched layers for discontinuous Petrov–Galerkin methods. Computational Mechanics, 63(6):1131-1145 [preprint] [doi] | | Keith, B., Petrides, S., Fuentes, F., and Demkowicz, L. (2017). Discrete least-squares finite element methods. Computer Methods in Applied Mechanics and Engineering, 327:226-255. [preprint] [doi] | | Keith, B., Knechtges, P., Roberts, N.V., Elgeti, S., Behr, M., and Demkowicz, L (2017). An ultraweak DPG method for viscoelastic fluids. Journal of Non-Newtonian Fluid Mechanics, 247:107-122. [preprint] [doi] | | Fuentes, F., Keith, B., Demkowicz, L., and Le Tallec, P. (2017). Coupled variational formulations of linear elasticity and the DPG methodology. Journal of Computational Physics, 348:715-731. [preprint] [doi] | | Keith, B., Fuentes, F., and Demkowicz, L. (2016). The DPG methodology applied to different variational formulations of linear elasticity. Computer Methods in Applied Mechanics and Engineering, 309:579-609. [preprint] [doi] | | Fuentes, F., Keith, B., Demkowicz, L., and Nagaraj, S. (2015). Orientation embedded high order shape functions for the exact sequence elements of all shapes. Computers & Mathematics with Applications, 70(4):353-458. [preprint] [doi] [code] |

Other

| Keith, B. (2018). New ideas in adjoint methods for PDEs: A saddle-point paradigm for finite element analysis and its role in the DPG methodology. PhD Dissertation, The University of Texas at Austin, Austin, Texas, U.S.A. [link] | | Keith, B., Demkowicz, L., and Gopalakrishnan, J. (2017). DPG* Method. ICES Report 17-25. The University of Texas at Austin. [link] | | Keith, B. (2014). Lagrangian coherent structures in three-dimensional steady flows. Master’s Thesis, McGill University, Montreal, Quebec, Canada. [link] | | Robison, B.K., (2011). The Wave Equation and Multi-Dimensional Time. The Waterloo Mathematics Review, 1(1):32-42 [link] |