Preconditioning for dual-time-stepping simulations of the shallow water equations including Coriolis and bed friction effects. - Brian T. Helenbrook; Geoffrey W. Cowles (J. Comput. Phys., 2008)

On the Existence of Explicit hp-Finite Element Methods Using Gauss-Lobatto Integration on the Triangle. - Brian T. Helenbrook (SIAM J. Numer. Anal., 2009)

Coupling p-multigrid to geometric multigrid for discontinuous Galerkin formulations of the convection-diffusion equation. - Brendan S. Mascarenhas; Brian T. Helenbrook; Harold L. Atkins (J. Comput. Phys., 2010)

Reduced order modeling for accelerated Monte Carlo simulations in radiation transport. - Indika Udagedara; Brian T. Helenbrook; Aaron Luttman; Stephen E. Mitchell (Appl. Math. Comput., 2015)

Fast Thermal Simulation of FinFET Circuits Based on a Multiblock Reduced-Order Model. - Wangkun Jia; Brian T. Helenbrook; Ming-C. Cheng (IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2016)

A novel stabilization method for high-order shock fitting with finite element methods. - Luke M. D'Aquila; Brian T. Helenbrook; Alireza Mazaheri (J. Comput. Phys., 2021)

A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods. - Jay Miles Appleton; Brian T. Helenbrook (SIAM J. Numer. Anal., 2021)