14 citations · 15 across the 6 of their papers we have counts for
6 papers
Boltzsim: A fast solver for the 1D-space electron Boltzmann equation with applications to radio-frequency glow discharge plasmas
Milinda Fernando, James Almgren-Bell, Todd Oliver +4
We present an algorithm for solving the one-dimensional space collisional Boltzmann transport equation (BTE) for electrons in low-temperature plasmas (LTPs). Modeling LTPs is usefu…
Inverse Problem Regularization for 3D Multi-Species Tumor Growth Models
Ali Ghafouri, George Biros
We present a multi-species partial differential equation (PDE) model for tumor growth and a an algorithm for calibrating the model from magnetic resonance imaging (MRI) scans. The…
GrainGNN: A dynamic graph neural network for predicting 3D grain microstructure
Yigong Qin, Stephen DeWitt, Balasubramaniam Radhakrishnan +1
We propose GrainGNN, a surrogate model for the evolution of polycrystalline grain structure under rapid solidification conditions in metal additive manufacturing. High fidelity sim…
Quantification of mixing in vesicle suspensions using numerical simulations in two dimensions
Gokberk Kabacaoglu, Bryan Quaife, George Biros
We study mixing in Stokesian vesicle suspensions in two dimensions on a cylindrical Couette apparatus using numerical simulations. The vesicle flow simulation is done using a bound…
ASKIT: Approximate Skeletonization Kernel-Independent Treecode in High Dimensions
William B. March, Bo Xiao, George Biros
We present a fast algorithm for kernel summation problems in high-dimensions. These problems appear in computational physics, numerical approximation, non-parametric statistics, an…
Far-Field Compression for Fast Kernel Summation Methods in High Dimensions
William B. March, George Biros
We consider fast kernel summations in high dimensions: given a large set of points in dimensions (with ) and a pair-potential function (the {\em kernel} function), we…