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. (2020). A priori error analysis of high-order LL* (FOSLL*) finite element methods. arXiv:2012.09594 [math.NA] [preprint]
Beiser, F., Keith, B., Urbainczyk, S., and Wohlmuth, B. (2020). Adaptive sampling strategies for risk-averse stochastic optimization with constraints. arXiv:2012.03844 [math.OC] [preprint]
Keith, B., Khristenko, U., and Wohlmuth, B. (2020). A fractional PDE model for turbulent velocity fields near solid walls. arXiv:2008.03957 [physics.flu-dyn ] [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]