7 papers
Efficient Sketching-Based Summation of Tucker Tensors
Rudi Smith, Mirjeta Pasha, Andrés Galindo-Olarte +5
We present efficient, sketching-based methods for the summation of tensors in Tucker format. Leveraging the algebraic structure of Khatri-Rao and Kronecker products, our approach e…
Superconvergence Extraction of Upwind Discontinuous Galerkin Method Solving the Radiative Transfer Equation
Andres Galindo-Olarte, Zhichao Peng, Jennifer K. Ryan
We theoretically analyze the superconvergence of the upwind discontinuous Galerkin (DG) method for both the steady-state and time-dependent radiative transfer equation (RTE), and a…
A Nodal Discontinuous Galerkin Method with Rank-Adaptive Velocity Space Representation for the Multiscale BGK Model
Andres Galindo-Olarte, Joseph Nakao, Mirjeta Pasha +2
A novel hybrid algorithm is presented for the Boltzmann-BGK equation, in which a rank-adaptive decomposition is applied solely in the velocity subspace, while a full-rank represent…
A structure-preserving local discontinuous Galerkin method for the Fokker-Planck-Landau equation
Kun Huang, Andrés Galindo-Olarte, Rodrigo González-Hernández +1
In this work, we introduce a structure-preserving local discontinuous Galerkin (LDG) method \cite{cockburn1998local} for solving the non-local non-linear Fokker-Planck-Landau (FPL)…
SIAC Accuracy Enhancement of Stochastic Galerkin Solutions for Wave Equations with Uncertain Coefficients
Andrés Galindo-Olarte, Jennifer K. Ryan
This article establishes the usefulness of the Smoothness-Increasing Accuracy-Increasing (SIAC) filter for reducing the errors in the mean and variance for a wave equation with unc…
Numerical analysis of a hybrid method for radiation transport
Andrés Galindo-Olarte, Victor P. DeCaria, Cory D. Hauck
In this work, we prove rigorous error estimates for a hybrid method introduced in [15] for solving the time-dependent radiation transport equation (RTE). The method relies on a spl…