Publications

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

Keith, B., Khristenko, U., and Wohlmuth, B. (2020). A fractional PDE model for turbulent velocity fields near solid walls. arXiv:2008.03957 [math.NA] [preprint]

Scientific Articles

Drzisga, D., Keith, B., and Wohlmuth, B. (2020). The surrogate matrix methodology: Accelerating isogeometric analysis of waves. Computer Methods in Applied Mechanics and Engineering, 372:113322. [preprint] [doi]
Drzisga, D., Keith, B., and Wohlmuth, B. (2020). The surrogate matrix methodology: A reference implementation for low-cost assembly in isogeometric analysis. MethodsX 7:100813 [preprint] [doi] [code]
Demkowicz, L., Gopalakrishnan, J., and Keith, B. (2020). The DPG-star method. Computers & Mathematics with Applications [preprint] [doi]
Drzisga, D., Keith, B., and Wohlmuth, B. (2020). The surrogate matrix methodology: Low-cost assembly for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 361:112776. [preprint] [doi]
Drzisga, D., Keith, B., and Wohlmuth, B. (2019). The surrogate matrix methodology: a priori error estimation. SIAM Journal on Scientific Computing, 41(6):A3806-A3838 [preprint] [doi]
Keith, B., Vaziri Astaneh, A., and Demkowicz, L. (2019). Goal-oriented adaptive mesh refinement for discontinuous Petrov–Galerkin methods. SIAM Journal on Numerical Analysis, 57(4):1649-1676 [preprint] [doi]
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]