8 citations · 8 across the 2 of their papers we have counts for
4 papers
Buoyancy and Marangoni Effects on Horizontal Ribbon Growth
Nojan Bagheri-Sadeghi, Brian T. Helenbrook
Unsteady simulations of horizontal ribbon growth of silicon were performed that included both Marangoni and buoyancy effects. A chaotic flow was observed dominated by strong Marang…
A High-Order Lower-Triangular Pseudo-Mass Matrix for Explicit Time Advancement of hp Triangular Finite Element Methods
Jay Appleton, Brian Helenbrook
Explicit time advancement for continuous finite elements requires the inversion of a global mass matrix. For spectral element simulations on quadrilaterals and hexahedra, there is…
Ordering statistics of 4 random walkers on the line
Brian Helenbrook, Daniel ben-Avraham
We study the ordering statistics of 4 random walkers on the line, obtaining a much improved estimate for the long-time decay exponent of the probability that a particle leads to ti…
Improved Probabilistic Principal Component Analysis for Application to Reduced Order Modeling
Indika Udagedara, Brian Helenbrook, Aaron Luttman +1
In our previous work, a reduced order model (ROM) for a stochastic system was made, where noisy data was projected onto principal component analysis (PCA)-derived basis vectors to…